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authorNorbert Preining <norbert@preining.info>2024-01-17 03:01:02 +0000
committerNorbert Preining <norbert@preining.info>2024-01-17 03:01:02 +0000
commit4fd81a66c82a2ba8787c6ca78bfcc14820e4017c (patch)
treebd843b1d561c776d5f54e18c0f07c05b079bb791 /macros/latex/contrib/tkz
parent384734a07c53090ad651e786d248c5ba8cd4606e (diff)
CTAN sync 202401170301
Diffstat (limited to 'macros/latex/contrib/tkz')
-rw-r--r--macros/latex/contrib/tkz/tkz-base/README.md5
-rw-r--r--macros/latex/contrib/tkz/tkz-base/doc/latex/TKZdoc-base-main.tex6
-rw-r--r--macros/latex/contrib/tkz/tkz-base/doc/latex/TKZdoc-base-point.tex2
-rw-r--r--macros/latex/contrib/tkz/tkz-base/doc/tkz-base.pdfbin362010 -> 356502 bytes
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-base.cfg10
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-base.sty8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-lib-marks.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-lib-shape.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-axes.tex10
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-grids.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-marks.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-points.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-rep.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-BB.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-arith.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-base.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-colors.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-misc.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-modules.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-print.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-text.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-utilities.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/README.md36
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-circle.tex296
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-ellipse.tex151
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-line.tex526
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-misc.tex175
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-parallelogram.tex4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-point.tex261
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-quadrilateral.tex4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-rectangle.tex4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-regular.tex26
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-square.tex4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-triangle.tex112
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes.tex1
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-examples.tex195
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-indepthstudy.tex3
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-inversion.tex4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-main.tex366
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-organization.tex100
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-tests.tex4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-transferts.tex47
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-why.tex4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/gold_preamble.lua46
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/sangaku.lua14
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/tkz-elements.pdfbin584764 -> 642250 bytes
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz-elements.sty10
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_circle.lua82
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_class.lua4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_ellipse.lua6
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_circles.lua81
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_intersections.lua6
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_lines.lua8
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_maths.lua6
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_points.lua6
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_regular.lua8
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_triangles.lua6
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_line.lua149
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_main.lua6
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_misc.lua47
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_parallelogram.lua8
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_point.lua16
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_quadrilateral.lua6
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_rectangle.lua10
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_regular.lua6
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_square.lua6
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_triangle.lua62
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_vector.lua6
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/README.md15
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-main.tex4
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-news.tex4
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-presentation.tex4
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/doc/tkz-euclide.pdfbin1118849 -> 1116615 bytes
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-angles.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-circles.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-compass.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-ellipses.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-lines.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-points.tex10
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-polygons.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-protractor.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-sectors.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-show.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/libs/tkz-lib-eu-marks.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/libs/tkz-lib-eu-shape.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-circles-by.tex6
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-circles.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-by.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-spc.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-with.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-axesmin.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-circles-by.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-circles.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-grids.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-lines.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-by.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-rnd.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-spc.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-with.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-polygons.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-triangles.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tkz-euclide.cfg13
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tkz-euclide.sty24
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-angles.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-base.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-intersections.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-math.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-BB.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-angles.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-base.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-colors.tex12
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-intersections.tex10
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-math.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-modules.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-text.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-utilities.tex8
118 files changed, 2485 insertions, 1018 deletions
diff --git a/macros/latex/contrib/tkz/tkz-base/README.md b/macros/latex/contrib/tkz/tkz-base/README.md
index 9c6b4a3d34..c4c1a749b1 100644
--- a/macros/latex/contrib/tkz/tkz-base/README.md
+++ b/macros/latex/contrib/tkz/tkz-base/README.md
@@ -1,6 +1,6 @@
# tkz-base — for Cartesian coordinate system
-Release 4.2c 2022/07/14
+Release 4.21c 2024/01/16
## Description
The package `tkz-base` provides some tools like a Cartesian (rectangular) coordinate system to other packages like `tkz-euclide` or `tkz-fct`.
@@ -60,6 +60,9 @@ Other examples, in French, are on my site.
The new version of `tkz-base` is *not* fully compatible with the version 3 but the differences are minor
## History
+- 4.21c Correction of bug tkz-obj-axes line 35, missing a symbol `%` (thanks Pascal Nuns)
+
+ Replace in TKZdoc-base-points.tex p 462 tkzDefCentroid(A,B,C,O) by tkzDefBarycentric(A,B,C,O)
- 4.2c adaptation to the new version of tkz-euclide.
- 4.05b Correction of an option (tkzDrawY).
Removing axesmin.tex Move from \newif\iftkz@integer to base.sty
diff --git a/macros/latex/contrib/tkz/tkz-base/doc/latex/TKZdoc-base-main.tex b/macros/latex/contrib/tkz/tkz-base/doc/latex/TKZdoc-base-main.tex
index 8302156108..a114a0f844 100644
--- a/macros/latex/contrib/tkz/tkz-base/doc/latex/TKZdoc-base-main.tex
+++ b/macros/latex/contrib/tkz/tkz-base/doc/latex/TKZdoc-base-main.tex
@@ -1,7 +1,7 @@
%!TEX TS-program = lualatex
% encoding: utf8
% documentation of tkz-base.sty
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -21,10 +21,10 @@
]{tkz-doc}
%\usepackage{etoc}
\gdef\tkznameofpack{tkz-base}
-\gdef\tkzversionofpack{4.2c}
+\gdef\tkzversionofpack{4.21c}
\gdef\tkzdateofpack{\today}
\gdef\tkznameofdoc{doc-tkz-base}
-\gdef\tkzversionofdoc{4.2c}
+\gdef\tkzversionofdoc{4.21c}
\gdef\tkzdateofdoc{\today}
\gdef\tkzauthorofpack{Alain Matthes}
\gdef\tkzadressofauthor{}
diff --git a/macros/latex/contrib/tkz/tkz-base/doc/latex/TKZdoc-base-point.tex b/macros/latex/contrib/tkz/tkz-base/doc/latex/TKZdoc-base-point.tex
index ee25236f64..a6321cfc98 100644
--- a/macros/latex/contrib/tkz/tkz-base/doc/latex/TKZdoc-base-point.tex
+++ b/macros/latex/contrib/tkz/tkz-base/doc/latex/TKZdoc-base-point.tex
@@ -459,7 +459,7 @@ Here the points are positioned relative to the center of gravity of $A,B,C \ \te
\tkzGetPoint{B}
\tkzDrawPoints(O,A,B,C)
\tkzDrawSegments(C,B B,A A,O O,C)
- \tkzDefCentroid(A,B,C,O)
+ \tkzDefBarycentricPoint(A=1,B=1,C=1,O=1)
\tkzDrawPoint(tkzPointResult)
\tkzAutoLabelPoints[center=tkzPointResult,
dist=.3,red](O,A,B,C)
diff --git a/macros/latex/contrib/tkz/tkz-base/doc/tkz-base.pdf b/macros/latex/contrib/tkz/tkz-base/doc/tkz-base.pdf
index 79495febbf..820469cef4 100644
--- a/macros/latex/contrib/tkz/tkz-base/doc/tkz-base.pdf
+++ b/macros/latex/contrib/tkz/tkz-base/doc/tkz-base.pdf
Binary files differ
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-base.cfg b/macros/latex/contrib/tkz/tkz-base/latex/tkz-base.cfg
index 4d05fb564a..631dcece53 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-base.cfg
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-base.cfg
@@ -1,5 +1,5 @@
% tkz-base.cfg
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -16,9 +16,9 @@
% and save the file in a directory part of your TEXINPUTS environment
% variable.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-base.cfg}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-base.cfg}
%<------ colors ---------------------------------------–>
\def\tkz@backgroundcolor{white}
\def\tkz@textcolor{black}
@@ -134,7 +134,7 @@ arc style/.style={%
\def\tkz@mk@fill{\tkz@otherlinecolor}
%<--------------------------------------------------------------------------–>
%<------------------------------ styles ---------------------------------–>
-\def\tkzSetUpStyle[#1]#2{\tikzset{#2/.style={#1}}}% add 2022
+\def\tkzSetUpStyle[#1]#2{\tikzset{#2/.style={#1}}}% add 2024
\tikzset{xlabel style/.style = {below = 3 pt,
inner sep = 1pt,
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-base.sty b/macros/latex/contrib/tkz/tkz-base/latex/tkz-base.sty
index 0cea394871..347d87fe70 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-base.sty
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-base.sty
@@ -1,5 +1,5 @@
% tkz-base.sty %
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,10 +10,10 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\typeout{2022/07/14 4.2c tkz-base.sty}
+\def\fileversion{4.21c}
+\typeout{2024/01/16 4.21c tkz-base.sty}
\NeedsTeXFormat{LaTeX2e}
-\ProvidesPackage{tkz-base}[2022/07/14 4.2c tkz-base]
+\ProvidesPackage{tkz-base}[2024/01/16 4.21c tkz-base]
\@ifpackageloaded{tkz-euclide}{\typeout{tkz-base and tkz-fct must be loaded before tkz-euclide}
\PackageError{tkz-base}{tkz-base must be loaded before tkz-euclide}{tkz-base must be loaded before tkz-euclide}%
\endinput}{}
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-lib-marks.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-lib-marks.tex
index 8cb6a366a6..4f40bee35b 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-lib-marks.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-lib-marks.tex
@@ -1,5 +1,5 @@
% tkz-lib-marks.tex
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-lib-marks.tex}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-lib-marks.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% Création des symboles
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-lib-shape.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-lib-shape.tex
index 8f45042a1b..1ed58295b5 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-lib-shape.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-lib-shape.tex
@@ -1,5 +1,5 @@
% tkz-lib-shape.tex
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-lib-shape.tex}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-lib-shape.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% Création des symboles
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-axes.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-axes.tex
index 1baf269bf9..530e405347 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-axes.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-axes.tex
@@ -1,5 +1,5 @@
% tkz-obj-axes.tex
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-obj-axes}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-obj-axes}
\makeatletter
\def\removedot#1.{#1}
@@ -32,7 +32,7 @@
% some tools
%<--------------------------------------------------------------------------–>
\def\tkz@showgrad#1{%
-\tkzgetinteger{#1}
+\tkzgetinteger{#1}%
\iftkz@integer\edef\tkz@result{\fpeval{trunc(#1,0)}}\else\edef\tkz@result{#1}\fi}%
\def\tkz@Xresult{%
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-grids.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-grids.tex
index 654a29c49c..c7ba978f07 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-grids.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-grids.tex
@@ -1,5 +1,5 @@
% tkz-obj-grids.tex
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-obj-grids.tex}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-obj-grids.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% Setup Grid
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-marks.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-marks.tex
index 6b39328d0d..5e0f01c604 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-marks.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-marks.tex
@@ -1,5 +1,5 @@
%tkz-obj-marks.tex
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-obj-marks.tex}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-obj-marks.tex}
\makeatletter
%<-------------------------------------------------------------------------–>
% Setup Marks
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-points.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-points.tex
index 21f2987bb9..c5e364753a 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-points.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-points.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-points.tex
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14 }
-\typeout{2022/07/14 4.2c tkz-obj-points.tex}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16 }
+\typeout{2024/01/16 4.21c tkz-obj-points.tex}
\makeatletter
%<--------------------------------------------------------------------------->
% init def point
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-rep.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-rep.tex
index 7ec1e86626..b42ad25e50 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-rep.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-obj-rep.tex
@@ -1,5 +1,5 @@
% tkz-obj-rep.tex
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-obj-rep.tex}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-obj-rep.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% repère
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-BB.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-BB.tex
index 8d2f196f30..9246f98b45 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-BB.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-BB.tex
@@ -1,5 +1,5 @@
% tkz-tools-BB.tex
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-obj-BB.tex}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-obj-BB.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
\def\tkzShowBB{\pgfutil@ifnextchar[{\tkz@ShowBB}{\tkz@ShowBB[]}}
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-arith.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-arith.tex
index 2a163531a7..059e6b331d 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-arith.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-arith.tex
@@ -1,5 +1,5 @@
% tkz-tools-arith.tex
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-tools-arith.tex}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-tools-arith.tex}
% 1.161 test if "isfactor" is already defined
% now with pgf 3.0 gcd isprime isodd iseven are defined
%<--------------------------------------------------------------------------–>
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-base.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-base.tex
index 85955e1461..1a82a38b90 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-base.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-base.tex
@@ -1,5 +1,5 @@
% tkz-tools-base.tex
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-tools-base.tex}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-tools-base.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
\global\let\tkz@tmp@xa\tkz@init@xmin% modif 2016
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-colors.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-colors.tex
index 9beab795b0..582f97b04b 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-colors.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-colors.tex
@@ -1,5 +1,5 @@
% tkz-tools-colors
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-tools-colors}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-tools-colors}
\makeatletter
%<------ Initialisation of the colors with tkzSetUpColors ----------------->
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-misc.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-misc.tex
index 83ae7c231c..f36f4e6b21 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-misc.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-misc.tex
@@ -1,5 +1,5 @@
% tkz-tools-misc.tex
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-tools-misc.tex}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-tools-misc.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% hline pb avec line
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-modules.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-modules.tex
index f662f8bfbe..ad378a78a2 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-modules.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-modules.tex
@@ -1,5 +1,5 @@
% tkz-tools-modules
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-tools-modules.tex}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-tools-modules.tex}
\makeatletter
%<------------- % chargement des modules ---------------------------------->
\def\tkz@obj@all{angles,arcs,compass,defcircles,deflines,defpoints,defpointsby,defpointsrnd,defpointswith,polygons,protractor,sectors,show,triangles}%
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-print.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-print.tex
index 9776e57679..6b150d3314 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-print.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-print.tex
@@ -1,5 +1,5 @@
% tkz-tool-print.tex
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-tools-print}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-tools-print}
\makeatletter
%<------------- tkzPrintFrac ---------------------------------->
\def\tkzPrintFrac#1#2{%
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-text.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-text.tex
index 5c1f7fb8af..f8f236567c 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-text.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-text.tex
@@ -1,5 +1,5 @@
% tkz-tools-text.tex
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-tools-text.tex}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-tools-text.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% tkzText
diff --git a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-utilities.tex b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-utilities.tex
index f132d6053a..be21c796c3 100644
--- a/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-utilities.tex
+++ b/macros/latex/contrib/tkz/tkz-base/latex/tkz-tools-utilities.tex
@@ -1,5 +1,5 @@
% tkz-tools-eu-utilities
-% Copyright 2022 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{4.2c}
-\def\filedate{2022/07/14}
-\typeout{2022/07/14 4.2c tkz-tools-utilities.tex}
+\def\fileversion{4.21c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 4.21c tkz-tools-utilities.tex}
\makeatletter
\pgfkeys{/tkzClip/.cd,
space/.store in = {\tkz@CLI@space},
diff --git a/macros/latex/contrib/tkz/tkz-elements/README.md b/macros/latex/contrib/tkz/tkz-elements/README.md
index a357bf2bf0..f5bfcebc80 100644
--- a/macros/latex/contrib/tkz/tkz-elements/README.md
+++ b/macros/latex/contrib/tkz/tkz-elements/README.md
@@ -1,10 +1,10 @@
# tkz-elements — for euclidean geometry
-Release 1.72c 2023/12/24
+Release 1.82c 2024/01/16
## Description
-`tkz-elements v.1.72c` is the new version of a library written in lua, allowing to make all the necessary calculations to define the objects of a Euclidean geometry figure. You need to compile with `LuaLaTeX`. With `tkz-elements`, the definitions and calculations are only done with `Lua`.
+`tkz-elements v.1.82c` is the new version of a library written in lua, allowing to make all the necessary calculations to define the objects of a Euclidean geometry figure. You need to compile with `LuaLaTeX`. With `tkz-elements`, the definitions and calculations are only done with `Lua`.
The main possibility of programmation proposed is oriented "object programming" with object classes like point, line, triangle, circle and ellipse. For the moment, once the calculations are done, it is `tkz-euclide` or `TikZ` which allows the drawings.
@@ -60,6 +60,38 @@ An important example `Golden Arbelos` using the package is on the site. All the
are on the site.
## History
+ - version 1.82c
+ - Point object : name like z.App now gives a node with name A''
+ - Modification of methods north,south
+ - Added the function length(z.A,z.B) shortcut for point.abs(z.A-z.B).
+ - Line object added some methods
+ - Added method in\_out\_segment
+ - (sacred triangle)
+ - gold
+ - sublime or euclide
+ - cheops
+ - divine
+ - pythagoras or isis or egyptian
+ - golden
+ - (classic triangles)
+ - two\_angles (side between)
+ - sss (three sides)
+ - ssa (two sides and an angle)
+ - sas (an angle between two sides)
+ - school (30°, 60° and 90°)
+ - half right triangle in A with AB= 2AC
+ - Circle object
+ - added method common_tangent (gives the common tangents of two circles)
+ - Correction for a bug and an oversight in the circles_position method.
+ - Rewriting the radical_axis methods
+ - Triangle object
+ - method trilinear (to use trilinear coordinates)
+ - method barycentric (to use barycentric coordinates)
+ - Added some functions
+ - bisector (a,b,c) altitude (a,b,c) bisector_ext(a,b,c) equilateral (a,b) midpoint (a,b) to avoid creating unnecessary objects.
+ - Added new examples and a cheat sheet in the documentation
+
+
- version 1.72c
- added a line method (apollonius) set of points M with MA/MB = k
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-circle.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-circle.tex
index a945f3de7c..4dd3b75b60 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-circle.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-circle.tex
@@ -13,18 +13,20 @@ This class is also defined by two points: on the one hand, the center and on the
\bgroup
\catcode`_=12
\small
-\captionof{table}{Circle attributes.}
+\captionof{table}{Circle attributes.}\label{circle:att}
\begin{tabular}{lll}
\toprule
\textbf{Attributes} & \textbf{Application} &\\
\Iattr{circle}{center} & |z.A = C.AB.center| &\\
\Iattr{circle}{through} & |z.B = C.AB.through| &\\
-\Iattr{circle}{type} & |C.AB.type| &\tkzar |C.OA.type = 'circle'|\\
-\Iattr{circle}{radius} & |C.AB.radius| &\tkzar |r = C.OA.radius | $r$ real number\\
-\Iattr{circle}{north} & |C.AB.north| &\tkzar |z.N = C.OA.north|\\
-\Iattr{circle}{south} & |C.AB.south| & \tkzar |z.S = C.OA.south| \\
-\Iattr{circle}{east} & |C.AB.east| &\tkzar |z.E = C.OA.east| \\
-\Iattr{circle}{west} & |C.AB.west| &\tkzar |z.W = C.OA.west| \\
+\Iattr{circle}{type} & |C.AB.type| & |C.OA.type = 'circle'|\\
+\Iattr{circle}{radius} & |C.AB.radius| & |r = C.OA.radius | $r$ real number\\
+\Iattr{circle}{north} & |C.AB.north| & |z.N = C.OA.north|\\
+\Iattr{circle}{south} & |C.AB.south| & |z.S = C.OA.south| \\
+\Iattr{circle}{east} & |C.AB.east| & |z.E = C.OA.east| \\
+\Iattr{circle}{west} & |C.AB.west| & |z.W = C.OA.west| \\
+\Iattr{circle}{opp} & |z.Ap = C.AB.opp| & see (\ref{ssub:example_circle_attributes}) \\
+\Iattr{circle}{ct} & |L = C.AB.ct| & see (\ref{ssub:example_circle_attributes}) \\
\bottomrule %
\end{tabular}
\egroup
@@ -44,14 +46,16 @@ Three attributes are used (south, west, radius).
z.s = C.ab.south
z.w = C.ab.west
r = C.ab.radius
+ z.c = C.ab.opp
+ z.r,z.t = get_points (C.ab.ct : ortho_from (z.b))
\end{tkzelements}
\begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawPoints(a,b,s,w)
- \tkzLabelPoints(a,b,s,w)
- \tkzDrawCircle(a,b)
- \tkzDrawSegment(a,b)
- \tkzLabelSegment[sloped](a,b){ab = \tkzUseLua{r}}
+\tkzGetNodes
+\tkzDrawPoints(a,b,c,s,w)
+\tkzLabelPoints(a,b,c,s,w)
+\tkzDrawCircle(a,b)
+\tkzDrawSegments(a,b r,t b,c)
+\tkzLabelSegment[sloped](a,b){ab = \tkzUseLua{r}}
\end{tikzpicture}
\end{tkzexample}
\end{minipage}
@@ -64,15 +68,16 @@ Three attributes are used (south, west, radius).
z.s = C.ab.south
z.w = C.ab.west
r = C.ab.radius
+ z.c = C.ab.opp
+ z.r,z.t = get_points (C.ab.ct : ortho_from (z.b))
\end{tkzelements}
-
\hspace*{\fill}
\begin{tikzpicture}
\tkzGetNodes
-\tkzDrawPoints(a,b,s,w)
-\tkzLabelPoints(a,b,s,w)
+\tkzDrawPoints(a,b,c,s,w)
+\tkzLabelPoints(a,b,c,s,w)
\tkzDrawCircle(a,b)
-\tkzDrawSegment(a,b)
+\tkzDrawSegments(a,b r,t b,c)
\tkzLabelSegment[sloped](a,b){ab = \tkzUseLua{r}}
\end{tikzpicture}
\hspace*{\fill}
@@ -86,45 +91,49 @@ Three attributes are used (south, west, radius).
\bgroup
\catcode`_=12
\small
-\captionof{table}{Circle methods.}
+\captionof{table}{Circle methods.}\label{circle:met}
\begin{tabular}{lll}
\toprule
\textbf{Methods} & \textbf{Comments} & \\
\midrule \\
\Imeth{circle}{new(O,A)} & |C.OA = circle : new (z.O,z.A)| & circle center $O$ through $A$\\
\Imeth{circle}{radius(O,r)} & |C.OA = circle : radius (z.O,2)| & circle center $O$ radius =2 cm\\
+\Imeth{circle}{diameter(A,B)} & |C.OA = circle :diameter(z.A,z.B)| & circle diameter $[AB]$ \\
\midrule
\textbf{Points} &&\\
\midrule
\Imeth{circle}{antipode (pt)} & |z.C = C.OA: antipode (z.B)| & $[BC]$ is a diameter \\
\Imeth{circle}{inversion (pt)} & |z.Bp = C.AC: inversion (z.B)|&\\
-\Imeth{circle}{midarc (z1,z2)} & |z.D = C.AB: midarc (z.B,z.C)|& $D$ is the midarc of $\widearc{BC}$\\
-\Imeth{circle}{point (t)} & |z.E = C.AB: point (0.25)|& |t| between 0 and 1\\
+\Imeth{circle}{midarc (pt,pt)} & |z.D = C.AB: midarc (z.B,z.C)|& $D$ is the midarc of $\widearc{BC}$\\
+\Imeth{circle}{point (r)} & |z.E = C.AB: point (0.25)|& |r| between 0 and 1\\
\Imeth{circle}{random\_pt(lower, upper)} & &\\
\Imeth{circle}{internal\_similitude (C)} & |z.I = C.one : internal_similitude (C.two)| &\\
\Imeth{circle}{external\_similitude (C)} & |z.J = C.one : external_similitude (C.two)| & \\
+\Imeth{circle}{radical\_center (C1<,C2>)} & or only (C1) & see \ref{sub:radical_center} \\
\midrule
\textbf{Lines} & & \\
\midrule
-\Imeth{circle}{radical\_axis (C)} & & \\
-\Imeth{circle}{tangent\_at (pt)} & |z.P = C.OA: tangent_at (z.M)| & $((PM) \perp (OM))$\\
-\Imeth{circle}{tangent\_from (pt)}& |z.M,z.N = C.OA: tangent_from (z.P)| &\\
-\Imeth{circle}{inversion (line)} & |L or C = C.AC: inversion (L.EF)|&\\
+\Imeth{circle}{radical\_axis (C)} & see ( \ref{sub:d_alembert_2} ; \ref{sub:radical_axis_v1} ; \ref{sub:radical_axis_v2} ; \ref{sub:radical_axis_v3} ; \ref{sub:radical_axis_v4})& \\
+\Imeth{circle}{tangent\_at (pt)} & |z.P = C.OA: tangent_at (z.M)| & see (\ref{ssub:lemoine} ; \ref{ssub:example_combination_of_methods})\\
+\Imeth{circle}{tangent\_from (pt)}& |z.M,z.N = C.OA: tangent_from (z.P)| & see (\ref{tangent_from})\\
+\Imeth{circle}{inversion (line)} & |L or C = C.AC: inversion (L.EF)|& see (\ref{ssub:inversion_line})\\
+\Imeth{circle}{common\_tangent (C)} & |z.a,z.b = C.AC: common_tangent (C.EF)|& see (\ref{sub:common_tangent} ; \ref{sub:common_tangent_orthogonality})\\
\midrule
\textbf{Circles}& &\\
\midrule
-\Imeth{circle}{orthogonal\_from (pt)} & |C = C.OA: orthogonal_from (z.P)| & \\
-\Imeth{circle}{orthogonal\_through (pta,ptb)} & |C = C.OA: orthogonal_through (z.z1,z.z2)|\\
+\Imeth{circle}{orthogonal\_from (pt)} & |C = C.OA: orthogonal_from (z.P)| & see (\ref{ssub:altshiller} ; \ref{sub:common_tangent_orthogonality} ; \ref{sub:orthogonal_circles_v1} ; \ref{sub:pencil_v1}) \\
+\Imeth{circle}{orthogonal\_through (pta,ptb)} & |C = C.OA: orthogonal_through (z.z1,z.z2)| & see (\ref{sub:orthogonal_circle_through})\\
\Imeth{circle}{inversion (...)} & | C.AC: inversion (pt, pts, L or C )|& see \ref{ssub:inversion}, \ref{ssub:inversion_point}, \ref{ssub:inversion_line}, \ref{ssub:inversion_circle}\\
\Imeth{circle}{midcircle (C)} & |C.inv = C.OA: midcircle (C.EF)| & see \ref{ssub:midcircle} \\
+\Imeth{circle}{radical\_circle (C1<,C2>)} & or only (C1) & see \ref{sub:radical_circle}\\
\midrule
\textbf{Miscellaneous} &&\\
\midrule
-\Imeth{circle}{power (pt)} &|p = C.OA: power (z.M)| & power with respect to a circle \\
-\Imeth{circle}{in\_out (pt)} & |C.OA : in_out (z.M)| & boolean \\
-\Imeth{circle}{in\_out\_disk (pt)} & |C.OA : in_out_disk (z.M)| & boolean \\
+\Imeth{circle}{power (pt)} &|p = C.OA: power (z.M)| & see (\ref{sub:power_v1} ; \ref{sub:power_v2} ; \ref{sub:apollonius_circle_v1_with_inversion}) \\
+\Imeth{circle}{in\_out (pt)} & |C.OA : in_out (z.M)| & see (\ref{sub:in_out_for_circle_and_disk}) \\
+\Imeth{circle}{in\_out\_disk (pt)} & |C.OA : in_out_disk (z.M)| & see (\ref{sub:in_out_for_circle_and_disk}) \\
\Imeth{circle}{draw ()} & for further use &\\
-\Imeth{circle}{circles\_position (C1,C2)} & see \ref{sub:circles_position} \\
+\Imeth{circle}{circles\_position (C1)} & result = string &see (\ref{sub:circles_position}) \\
\bottomrule
\end{tabular}
\egroup
@@ -570,7 +579,7 @@ z.X,z.Y = intersection (C.AO,C.BP)
This case is a little more complicated. We'll construct the two circles $(\alpha)$ and $(\beta)$ tangent to the two given circles. Then we construct the radical circle orthogonal to the circles $(\alpha)$ and $(\beta)$. Its center is the radical center as well as the center of internal similtude of circles of center $A$ and $B$.
\item When the two given circles are external to each other, we construct the external center of similitude of the two given circles.
-$I$ is the center of external similarity of the two given circles. To obtain the inversion circle, simply note that $H$ is such that $IH^2= IE\times IF$
+$I$ is the center of external similarity of the two given circles. To obtain the inversion circle, simply note that $H$ is such that $IH^2= IE\times IF$. \label{tangent_from}
\begin{minipage}{.4\textwidth}
\begin{verbatim}
@@ -757,13 +766,13 @@ Cette fonction retourne une chaîne qui indique la position du cercle par rappor
\begin{minipage}{.5\textwidth}
\begin{verbatim}
\begin{tkzelements}
- z.A = point : new ( 0 , 0 )
- z.a = point : new ( 3 , 0 )
- z.B = point : new ( 2 , 0 )
- z.b = point : new ( 3 , 0 )
- C.Aa = circle: new (z.A,z.a)
- C.Bb ·= circle: new (z.B,z.b)
- position = circles_position (C.Aa,C.Bb)
+ z.A = point : new ( 0 , 0 )
+ z.a = point : new ( 3 , 0 )
+ z.B = point : new ( 2 , 0 )
+ z.b = point : new ( 3 , 0 )
+ C.Aa = circle: new (z.A,z.a)
+ C.Bb = circle: new (z.B,z.b)
+ position = C.Aa : circles_position (C.Bb)
if position == "inside tangent"
then color = "orange"
else color = "blue" end
@@ -784,7 +793,7 @@ z.B = point : new ( 2 , 0 )
z.b = point : new ( 3 , 0 )
C.Aa = circle: new (z.A,z.a)
C.Bb = circle: new (z.B,z.b)
-position = circles_position (C.Aa,C.Bb)
+position = C.Aa : circles_position (C.Bb)
if position == "inside tangent" then color = "orange" else color = "blue" end
\end{tkzelements}
\hspace{\fill}
@@ -795,5 +804,214 @@ if position == "inside tangent" then color = "orange" else color = "blue" end
\end{tikzpicture}\hspace{\fill}
\end{minipage}
% subsection circles__position (end)
+
+\subsection{Common tangent: Angle of two intersecting circles} % (fold)
+\label{sub:common_tangent}
+
+Let be a tangent common to both circles at $T$ and $T'$ (closest to $C$). Let a secant parallel to this tangent pass through $C$. Then the segment $[TT']$ is seen from the other common point $D$ at an angle equal to half the angle of the two circles.
+
+\begin{verbatim}
+\begin{tkzelements}
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 5 , 2 )
+ L.AB = line : new ( z.A , z.B )
+ z.C = point : new ( 1 , 2 )
+ C.AC = circle : new (z.A,z.C)
+ C.BC = circle : new (z.B,z.C)
+ z.T,z.Tp = C.AC : common_tangent (C.BC)
+ L.TTp = line : new (z.T,z.Tp)
+ z.M = C.AC : point (0.45)
+ L.MC =line : new (z.M,z.C)
+ z.Mp = intersection (L.MC, C.BC)
+ L.mm = L.TTp : ll_from (z.C)
+ _,z.M = intersection (L.mm, C.AC)
+ z.Mp = intersection (L.mm, C.BC)
+ _,z.D = intersection (C.AC,C.BC)
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawCircles(A,C B,C)
+ \tkzDrawSegments(M,M' A,D B,D A,B C,D T,C T',C)
+ \tkzDrawSegments[gray](D,M D,M' T,T' D,T D,T')
+ \tkzDrawPoints(A,B,C,D,M,M',T,T')
+ \tkzLabelPoints(A,B,D,M)
+ \tkzLabelPoints[above](C,M',T,T')
+ \tkzMarkAngles[mark=|,size=.75](T,C,M C,T,T' C,D,T T,D,M)
+ \tkzMarkAngles[mark=||,size=.75](M',C,T' T,T',C T',D,C M',D,T')
+\end{tikzpicture}
+\end{verbatim}
+
+
+\begin{tkzelements}
+z.A = point : new ( 0 , 0 )
+z.B = point : new ( 5 , 2 )
+L.AB = line : new ( z.A , z.B )
+z.C = point : new ( 1 , 2 )
+C.AC = circle : new (z.A,z.C)
+C.BC = circle : new (z.B,z.C)
+z.T,z.Tp = C.AC : common_tangent (C.BC)
+L.TTp = line : new (z.T,z.Tp)
+z.M = C.AC : point (0.45)
+L.MC =line : new (z.M,z.C)
+z.Mp = intersection (L.MC, C.BC)
+L.mm = L.TTp : ll_from (z.C)
+_,z.M = intersection (L.mm, C.AC)
+z.Mp = intersection (L.mm, C.BC)
+_,z.D = intersection (C.AC,C.BC)
+\end{tkzelements}
+\hspace*{\fill}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawCircles(A,C B,C)
+\tkzDrawSegments(M,M' A,D B,D A,B C,D T,C T',C)
+\tkzDrawSegments[gray](D,M D,M' T,T' D,T D,T')
+\tkzDrawPoints(A,B,C,D,M,M',T,T')
+\tkzLabelPoints(A,B,D,M)
+\tkzLabelPoints[above](C,M',T,T')
+\tkzMarkAngles[mark=|,size=.75](T,C,M C,T,T' C,D,T T,D,M)
+\tkzMarkAngles[mark=||,size=.75](M',C,T' T,T',C T',D,C M',D,T')
+\end{tikzpicture}
+\hspace*{\fill}
+
+% subsection common_tangent (end)
+
+\subsection{Common tangent: orthogonality} % (fold)
+\label{sub:common_tangent_orthogonality}
+For two circles to be orthogonal, it is necessary and sufficient for a secant passing through one of their common points to be seen from the other common point at a right angle.
+
+\begin{verbatim}
+\begin{tkzelements}
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 4 , 2 )
+ L.AB = line : new ( z.A , z.B )
+ z.a = point : new ( 1 , 2 )
+ C.Aa = circle : new (z.A,z.a)
+ C.BC = C.Aa : orthogonal_from (z.B)
+ z.C,z.D = intersection (C.Aa,C.BC)
+ C.AC = circle : new (z.A,z.C)
+ z.T,z.Tp = C.AC : common_tangent (C.BC)
+ L.TTp = line : new (z.T,z.Tp)
+ z.M = C.AC : point (0.45)
+ L.MC =line : new (z.M,z.C)
+ z.Mp = intersection (L.MC, C.BC)
+ L.mm = L.TTp : ll_from (z.C)
+ _,z.M = intersection (L.mm, C.AC)
+ z.Mp = intersection (L.mm, C.BC)
+\end{tkzelements}
+
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawCircles(A,C B,C)
+ \tkzDrawSegments(M,M' A,C B,C A,B)
+ \tkzDrawSegments[gray](D,M D,M' T,T')
+ \tkzDrawPoints(A,B,C,D,M,M',T,T')
+ \tkzLabelPoints(A,B,D,M)
+ \tkzLabelPoints[above](C,M',T,T')
+ \tkzMarkRightAngles(M',D,M A,C,B)
+\end{tikzpicture}
+\end{verbatim}
+
+\begin{tkzelements}
+z.A = point : new ( 0 , 0 )
+z.B = point : new ( 4 , 2 )
+L.AB = line : new ( z.A , z.B )
+z.a = point : new ( 1 , 2 )
+C.Aa = circle : new (z.A,z.a)
+C.BC = C.Aa : orthogonal_from (z.B)
+z.C,z.D = intersection (C.Aa,C.BC)
+C.AC = circle : new (z.A,z.C)
+z.T,z.Tp = C.AC : common_tangent (C.BC)
+L.TTp = line : new (z.T,z.Tp)
+z.M = C.AC : point (0.45)
+L.MC =line : new (z.M,z.C)
+z.Mp = intersection (L.MC, C.BC)
+L.mm = L.TTp : ll_from (z.C)
+_,z.M = intersection (L.mm, C.AC)
+z.Mp = intersection (L.mm, C.BC)
+\end{tkzelements}
+ \hspace*{\fill}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawCircles(A,C B,C)
+ \tkzDrawSegments(M,M' A,C B,C A,B)
+ \tkzDrawSegments[gray](D,M D,M' T,T')
+ \tkzDrawPoints(A,B,C,D,M,M',T,T')
+ \tkzLabelPoints(A,B,D,M)
+ \tkzLabelPoints[above](C,M',T,T')
+ \tkzMarkRightAngles(M',D,M A,C,B)
+\end{tikzpicture}
+\hspace*{\fill}
+% subsection common_tangent_orthogonality (end)
+
+\subsection{In\_out for circle and disk} % (fold)
+\label{sub:in_out_for_circle_and_disk}
+
+\begin{verbatim}
+\begin{tkzelements}
+z.O = point : new (0,0)
+z.A = point : new (1,2)
+C.OA = circle : new (z.O,z.A)
+z.N = point : new (-2,2)
+z.M = point : new (1,0)
+z.P = point : new (2,1)
+BCm = C.OA : in_out (z.M)
+BDm = C.OA : in_out_disk (z.M)
+BCn = C.OA : in_out (z.N)
+BDn = C.OA : in_out_disk (z.N)
+BCp = C.OA : in_out (z.P)
+BDp = C.OA : in_out_disk (z.P)
+\end{tkzelements}
+\def\tkzPosPoint#1#2#3#4{%
+\tkzLabelPoints(O,M,N,P)
+ \ifthenelse{\equal{\tkzUseLua{#1}}{true}}{
+ \tkzLabelPoint[below=#4pt,font=\scriptsize](#2){on the #3}}{%
+ \tkzLabelPoint[below=#4pt,font=\scriptsize](#2){out the #3}}}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawSegments[dashed](O,M O,N O,P)
+\tkzDrawCircle(O,A)
+\tkzDrawPoints(O,M,N,P)
+\tkzPosPoint{BCm}{M}{circle}{8}
+\tkzPosPoint{BCn}{N}{circle}{8}
+\tkzPosPoint{BCp}{P}{circle}{8}
+\tkzPosPoint{BDm}{M}{disk}{14}
+\tkzPosPoint{BDn}{N}{disk}{14}
+\tkzPosPoint{BDp}{P}{disk}{14}
+\end{tikzpicture}
+\end{verbatim}
+
+\begin{tkzelements}
+z.O = point : new (0,0)
+z.A = point : new (1,2)
+C.OA = circle : new (z.O,z.A)
+z.N = point : new (-2,2)
+z.M = point : new (1,0)
+z.P = point : new (2,1)
+BCm = C.OA : in_out (z.M)
+BDm = C.OA : in_out_disk (z.M)
+BCn = C.OA : in_out (z.N)
+BDn = C.OA : in_out_disk (z.N)
+BCp = C.OA : in_out (z.P)
+BDp = C.OA : in_out_disk (z.P)
+\end{tkzelements}
+\def\tkzPosPoint#1#2#3#4{%
+\tkzLabelPoints(O,M,N,P)
+ \ifthenelse{\equal{\tkzUseLua{#1}}{true}}{
+ \tkzLabelPoint[below=#4pt,font=\scriptsize](#2){on the #3}}{%
+ \tkzLabelPoint[below=#4pt,font=\scriptsize](#2){out the #3}}
+}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawSegments[dashed](O,M O,N O,P)
+\tkzDrawCircle(O,A)
+\tkzDrawPoints(O,M,N,P)
+\tkzPosPoint{BCm}{M}{circle}{8}
+\tkzPosPoint{BCn}{N}{circle}{8}
+\tkzPosPoint{BCp}{P}{circle}{8}
+\tkzPosPoint{BDm}{M}{disk}{14}
+\tkzPosPoint{BDn}{N}{disk}{14}
+\tkzPosPoint{BDp}{P}{disk}{14}
+\end{tikzpicture}
+% subsection in_out_for_circle_and_disk (end)
% section class_circle (end)
\endinput
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-ellipse.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-ellipse.tex
index e700019fa3..bbe39aa1a2 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-ellipse.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-ellipse.tex
@@ -10,7 +10,7 @@ The first attributes are the three points that define the ellipse : \Iattr{ellip
\bgroup
\catcode`_=12
\small
-\captionof{table}{Ellipse attributes.}
+\captionof{table}{Ellipse attributes.}\label{ellipse:att}
\begin{tabular}{ll}
\toprule
\textbf{Attributes} & \textbf{Application}\\
@@ -34,84 +34,85 @@ The first attributes are the three points that define the ellipse : \Iattr{ellip
\subsubsection{Atributes of an ellipse: example} % (fold)
\label{ssub:attributes_of_an_ellipse}
-\begin{tkzexample}[latex=0cm,small,code only]
-\begin{tkzelements}
- z.C = point: new (3 , 2)
- z.A = point: new (5 , 1)
- L.CA = line : new (z.C,z.A)
- z.b = L.CA.north_pa
- L = line : new (z.C,z.b)
- z.B = L : point (0.5)
- E = ellipse: new (z.C,z.A,z.B)
- a = E.Rx
- b = E.Ry
- z.F1 = E.Fa
- z.F2 = E.Fb
- slope = math.deg(E.slope)
- z.E = E.east
- z.N = E.north
- z.W = E.west
- z.S = E.south
- z.Co = E.covertex
- z.Ve = E.vertex
-\end{tkzelements}
-\begin{tikzpicture}
+\begin{minipage}{.5\textwidth}
+ \begin{verbatim}
+ \begin{tkzelements}
+ z.C = point: new (3 , 2)
+ z.A = point: new (5 , 1)
+ L.CA = line : new (z.C,z.A)
+ z.b = L.CA.north_pa
+ L = line : new (z.C,z.b)
+ z.B = L : point (0.5)
+ E = ellipse: new (z.C,z.A,z.B)
+ a = E.Rx
+ b = E.Ry
+ z.F1 = E.Fa
+ z.F2 = E.Fb
+ slope = math.deg(E.slope)
+ z.E = E.east
+ z.N = E.north
+ z.W = E.west
+ z.S = E.south
+ z.Co = E.covertex
+ z.Ve = E.vertex
+ \end{tkzelements}
+ \begin{tikzpicture}
+ \pgfkeys{/pgf/number format/.cd,fixed,precision=2}
+ \tkzGetNodes
+ \tkzDrawCircles[teal](C,A)
+ \tkzDrawEllipse[red](C,\tkzUseLua{a},\tkzUseLua{b},
+ \tkzUseLua{slope})
+ \tkzDrawPoints(C,A,B,b,W,S,F1,F2)
+ \tkzLabelPoints(C,A,B)
+ \tkzDrawLine[add = .5 and .5](A,W)
+ \tkzLabelSegment[pos=1.5,above,sloped](A,W){%
+ slope = \pgfmathprintnumber{\tkzUseLua{slope}}}
+ \tkzLabelPoint[below](S){South}
+ \tkzLabelPoint[below left](F1){Focus 1}
+ \tkzLabelPoint[below left](F2){Focus 2}
+ \tkzLabelPoint[above right](Ve){Vertex ; East}
+ \tkzLabelPoint[above right](Co){Covertex ; North}
+ \end{tikzpicture}
+ \end{verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+ z.C = point: new (3 , 2)
+ z.A = point: new (5 , 1)
+ L.CA = line : new (z.C,z.A)
+ z.b = L.CA.north_pa
+ L = line : new (z.C,z.b)
+ z.B = L : point (0.5)
+ E = ellipse: new (z.C,z.A,z.B)
+ a = E.Rx
+ b = E.Ry
+ z.F1 = E.Fa
+ z.F2 = E.Fb
+ slope = math.deg(E.slope)
+ z.E = E.east
+ z.N = E.north
+ z.W = E.west
+ z.S = E.south
+ z.Co = E.covertex
+ z.Ve = E.vertex
+ \end{tkzelements}
+ \hspace*{\fill}
+ \begin{tikzpicture}
\pgfkeys{/pgf/number format/.cd,fixed,precision=2}
\tkzGetNodes
\tkzDrawCircles[teal](C,A)
- \tkzDrawEllipse[red](C,\tkzUseLua{a},\tkzUseLua{b},
- \tkzUseLua{slope})
+ \tkzDrawEllipse[red](C,\tkzUseLua{a},\tkzUseLua{b},\tkzUseLua{slope})
\tkzDrawPoints(C,A,B,b,W,S,F1,F2)
\tkzLabelPoints(C,A,B)
\tkzDrawLine[add = .5 and .5](A,W)
- \tkzLabelSegment[pos=1.5,above,sloped](A,W){%
- slope = \pgfmathprintnumber{\tkzUseLua{slope}}}
+ \tkzLabelSegment[pos=1.25,above,sloped](A,W){slope = \pgfmathprintnumber{\tkzUseLua{slope}}}
\tkzLabelPoint[below](S){South}
\tkzLabelPoint[below left](F1){Focus 1}
\tkzLabelPoint[below left](F2){Focus 2}
\tkzLabelPoint[above right](Ve){Vertex ; East}
\tkzLabelPoint[above right](Co){Covertex ; North}
-\end{tikzpicture}
-\end{tkzexample}
-
-\begin{tkzelements}
-z.C = point: new (3 , 2)
-z.A = point: new (5 , 1)
-L.CA = line : new (z.C,z.A)
-z.b = L.CA.north_pa
-L = line : new (z.C,z.b)
-z.B = L : point (0.5)
-E = ellipse: new (z.C,z.A,z.B)
-a = E.Rx
-b = E.Ry
-z.F1 = E.Fa
-z.F2 = E.Fb
-slope = math.deg(E.slope)
-z.E = E.east
-z.N = E.north
-z.W = E.west
-z.S = E.south
-z.Co = E.covertex
-z.Ve = E.vertex
-\end{tkzelements}
-
-\hspace*{\fill}
-\begin{tikzpicture}
-\pgfkeys{/pgf/number format/.cd,fixed,precision=2}
-\tkzGetNodes
-\tkzDrawCircles[teal](C,A)
-\tkzDrawEllipse[red](C,\tkzUseLua{a},\tkzUseLua{b},\tkzUseLua{slope})
-\tkzDrawPoints(C,A,B,b,W,S,F1,F2)
-\tkzLabelPoints(C,A,B)
-\tkzDrawLine[add = .5 and .5](A,W)
-\tkzLabelSegment[pos=1.5,above,sloped](A,W){slope = \pgfmathprintnumber{\tkzUseLua{slope}}}
-\tkzLabelPoint[below](S){South}
-\tkzLabelPoint[below left](F1){Focus 1}
-\tkzLabelPoint[below left](F2){Focus 2}
-\tkzLabelPoint[above right](Ve){Vertex ; East}
-\tkzLabelPoint[above right](Co){Covertex ; North}
-\end{tikzpicture}
-\hspace*{\fill}
+ \end{tikzpicture}
+\end{minipage}
% \caption{Class Ellipse}
% subsection attributes_of_an_ellipse (end)
@@ -128,7 +129,7 @@ To do this, you'll need to use a \pkg{tkz-elements }function: \Igfct{package}{se
\bgroup
\catcode`_=12
\small
-\captionof{table}{Ellipse methods.}
+\captionof{table}{Ellipse methods.}\label{ellipse:met}
\begin{tabular}{ll}
\toprule
\textbf{Methods} & \textbf{Example} \\
@@ -193,7 +194,7 @@ slope = math.deg(E.slope)
\end{tikzpicture}
\end{minipage}
-The function \Igfct{package}{set\_lua\_to\_tex (list)} is used to define the macros that will be used to draw the ellipse with \TIKZ\ or \pkg{tkz-euclide}.
+The function \Igfct{package}{tkzUseLua (variable)} is used to transfer values to \TIKZ\ or \pkg{tkz-euclide}.
% subsubsection method_imeth_ellipse_new (end)
@@ -203,7 +204,8 @@ The first two points are the foci of the ellipse. The third one is the vertex. W
\emph{The function launches the |new| method, all the characteristics of the ellipse are defined.}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{minipage}{0.6\textwidth}
+\begin{verbatim}
\begin{tkzelements}
z.A = point: new (0 , 0)
z.B = point: new (5 , 1)
@@ -227,9 +229,6 @@ The first two points are the foci of the ellipse. The third one is the vertex. W
a,b = E.Rx,E.Ry
ang = math.deg(E.slope)
\end{tkzelements}
-\end{tkzexample}
-\begin{minipage}{0.6\textwidth}
- \begin{tkzexample}[latex=0cm,small,code only]
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawPolygon(A,B,C)
@@ -245,7 +244,7 @@ The first two points are the foci of the ellipse. The third one is the vertex. W
\tkzLabelPoints[left](A)
\tkzLabelPoints[right](B,I,S,H)
\end{tikzpicture}
-\end{tkzexample}
+\end{verbatim}
\end{minipage}
\begin{minipage}{0.4\textwidth}
\begin{tkzelements}
@@ -290,7 +289,7 @@ The first two points are the foci of the ellipse. The third one is the vertex. W
% subsubsection function_tkzname_ellipse__foci (end)
\subsubsection{Method \Imeth{ellipse}{point} and \Imeth{ellipse}{radii}} % (fold)
-\label{ssub:method_point}
+\label{ssub:ellipse_method_point}
The method \Imeth{ellipse}{point} defines a point $M$ of the ellipse whose coordinates are $(a\times cos(phi), b\times sin(phi))$. |phi| angle between (center,vertex) and (center,M)
\emph{The environment \tkzNameEnv{tkzelements} uses as \tkzname{lua} the radian as unit for angles. }
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-line.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-line.tex
index 8ecdac344f..feab38af27 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-line.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-line.tex
@@ -18,7 +18,7 @@ The attributes are :
\bgroup
\catcode`_=12
\small
-\captionof{table}{Line attributes.}
+\captionof{table}{Line attributes.}\label{line:att}
\begin{tabular}{lll}
\toprule
\textbf{Attributes} & \textbf{Application} & \\
@@ -26,12 +26,12 @@ The attributes are :
\Iattr{line}{pb} & Second point of the segment & \\
\Iattr{line}{type} & Type is 'line' & |L.AB.type = 'line'| \\
\Iattr{line}{mid} & Middle of the segment& |z.M = L.AB.mid|\\
-\Iattr{line}{slope} & Slope of the line & obtained with |an = L.AB.slope|\\
-\Iattr{line}{length} & Length of the segment& |l = L.AB.length| \\
-\Iattr{line}{north\_pa} & See next example& d(a,north—pa)=d(a,b)=d(east,b) =etc. \\
+\Iattr{line}{slope} & Slope of the line & see (\ref{ssub:example_class_line})\\
+\Iattr{line}{length} &|l = L.AB.length|&see (\ref{sub:transfer_from_lua_to_tex} ; \ref{ssub:example_class_line})\\
+\Iattr{line}{north\_pa} & See (\ref{ssub:example_class_line}) & \\
\Iattr{line}{north\_pb} & &\\
\Iattr{line}{south\_pa} & &\\
-\Iattr{line}{south\_pb} & &\\
+\Iattr{line}{south\_pb} & &See (\ref{ssub:example_class_line}) \\
\Iattr{line}{east} & &\\
\Iattr{line}{west} & &\\
\bottomrule
@@ -76,8 +76,8 @@ z.m = L.ab.mid
z.w = L.ab.west
z.e = L.ab.east
z.r = L.ab.north_pa
-z.s = L.ab.south_pb
-sl = L.ab.slope
+z.s = L.ab.south_pb
+sl = L.ab.slope
len = L.ab.length
\end{tkzelements}
\hspace*{\fill}
@@ -146,78 +146,433 @@ With | L.AB = line : new (z.A,z.B)|, a line is defined.
% subsubsection example_line_attributes (end)
% subsection attributes_of_a_line (end)
-\clearpage\newpage
+\newpage
\subsection{Methods of the class line} % (fold)
\label{sub:methods_from_class_line}
-Here's the list of methods for the \tkzNameObj{line} object. The results are either reals, points, lines, circles or triangles.
-\subsubsection{Table of the methods from class line} % (fold)
-\label{ssub:table_of_the_methods_from_class_line}
+Here's the list of methods for the \tkzNameObj{line} object. The results are either reals, points, lines, circles or triangles. The triangles obtained are similar to the triangles defined below.
-\vspace{1em}
\begin{minipage}{\textwidth}
- \bgroup
- \catcode`_=12
- \small
- \captionof{table}{Methods of the class line.}
- \begin{tabular}{lll}
- \toprule
- \textbf{Methods} & \textbf{Comments} & \\
- \midrule
- \Imeth{line}{new(A, B)} & |L.AB = line : new(z.A,z.B)| line through the points $A$ and $B$&\\
- \midrule
- \textbf{Points} &&\\
- \midrule
- \Imeth{line}{gold\_ratio ()} & |z.C = L.AB : gold_ratio()| & gold ratio \\
- \Imeth{line}{normalize ()} & |z.C = L.AB : normalize()| & AC =1 and $C\in (AB)$ \\
- \Imeth{line}{normalize\_inv ()} & |z.C = L.AB : normalize_inv()| & CB =1 and $C\in (AB)$ \\
- \Imeth{line}{barycenter (ka,kb)} & |z.C = L.AB : barycenter (1,2)| $C$ & barycenter of |{(A,1)(B,2)}|\\
- \Imeth{line}{point (t)} & |z.C = L.AB : point (2)| & $\overrightarrow{AC} = 2\overrightarrow{AB}$\\
- \Imeth{line}{midpoint ()} & |z.M = L.AB : midpoint ()| & better is |z.M = L.AB.mid| \\
- \Imeth{line}{harmonic\_int } & |z.D = L.AB : harmonic_int (z.C)| & $D\in [AB]$ $C\notin [AB]$\\
- \Imeth{line}{harmonic\_ext (pt)} & |z.D = L.AB : harmonic_ext (z.C)| & $D\notin [AB]$ $C\in [AB]$\\
- \Imeth{line}{harmonic\_both (k)} & |z.C,z.D = L.AB : harmonic_both (tkzphi)| & ${ {CA/CB}={DA/DB}=t\varphi.}$\\
- \Imeth{line}{square ()} & |S.AB =(L.AB : square ()) | & create a square |S.AB|.\footnote{ |_,_,z.C,z.D = get_points(S.AB)|}\\
- \midrule
- \textbf{Lines} &&\\
- \midrule
- \Imeth{line}{ll\_from ( pt )} & |L.CD = L.AB : ll_from (z.C)| & $(CD) \parallel (AB)$ \\
- \Imeth{line}{ortho\_from ( pt )} & |L.CD = L.AB : ortho_from (z.C)|& $(CD) \perp (AB)$\\
- \Imeth{line}{mediator ()}&|L.uv = L.AB : mediator ()| & $(u,v)$ mediator of $(A,B)$\\
- \midrule
- \textbf{Triangles}&&\\
- \midrule
- \Imeth{line}{equilateral (swap)} & |T.ABC = L.AB : equilateral ()| $(\overrightarrow{AB},\overrightarrow{AC})>0$ & or < with swap \footnote{Triangles are defined in the direct sense of rotation, unless the "swap" option is present.} \\
- \Imeth{line}{isosceles (phi,swap)} & |T.ABC = L.AB : isosceles (math.pi/6)|& \\
- \Imeth{line}{gold (swap)} & |T.ABC = L.AB : gold ()| & right in $B$ and $AC = \varphi \times AB $ \\
- \Imeth{line}{euclide (swap)} & |T.ABC = L.AB : euclide ()| & $AB=AC$ and $(\overrightarrow{AB},\overrightarrow{AC}) = math.pi/5$ \\
- \Imeth{line}{golden (swap)} & |T.ABC = L.AB : golden ()| & $(\overrightarrow{AB},\overrightarrow{AC}) = 2\times \pi/5$ \\
- \midrule
- \textbf{Circles} &&\\
- \midrule
- \Imeth{line}{circle ()} & |C.AB = L.AB : circle ()| & center pa through pb \\
- \Imeth{line}{circle\_swap ()} & |C.BA = L.AB : circle\_swap ()|& center pb through pa \\
- \Imeth{line}{apollonius (k)} & |C.apo = L.AB : apollonius (2)|& Ensemble des points tq. |MA/MB = 2| \\
- \midrule
- \textbf{Transformations} &&\\
- \midrule
- \Imeth{line}{reflection ( obj )} & |new obj = L.AB : reflection (obj|&\\
- \Imeth{line}{translation ( obj )} & |new obj = L.AB : translation (obj)|&\\
- \Imeth{line}{projection ( obj )} & |z.H = L.AB : projection (z.C)| & $CH \perp (AB)$ and $H\in (AB)$\\
- \midrule
- \textbf{Miscellaneous} &&\\
- \midrule
- \Imeth{line}{distance (pt)} & |d = L.Ab : distance (z.C)| & see \ref{ssub:example_distance_and_projection}\\
- \Imeth{line}{in\_out (pt)} & |b = L.AB: in_out(z.C)| b=true if $C\in (AB)$ &\\
- \Imeth{line}{slope ()} & |a = L.AB : slope()| & better is L.AB.slope \\
- \bottomrule
- \end{tabular}
-
- \egroup
+\bgroup
+\catcode`_=12
+\small
+\captionof{table}{Methods of the class line.(part 1)}\label{line:methods1}
+\begin{tabular}{lll}
+\toprule
+\textbf{Methods} & \textbf{Comments} & \\
+\midrule
+\Imeth{line}{new(pt, pt)} & |L.AB = line : new(z.A,z.B)| line $(AB)$& see (\ref{ssub:altshiller})\\
+\midrule
+\textbf{Points} &&\\
+\midrule
+\Imeth{line}{gold\_ratio ()} & |z.C = L.AB : gold_ratio()| & see (\ref{sub:gold_ratio_with_segment} ; \ref{sub:the_figure_pappus_circle} ; \ref{sub:bankoff_circle}) \\
+\Imeth{line}{normalize ()} & |z.C = L.AB : normalize()| & AC =1 and $C\in (AB)$ see (\ref{ssub:normalize}) \\
+\Imeth{line}{normalize\_inv ()} & |z.C = L.AB : normalize_inv()| & CB =1 and $C\in (AB)$ \\
+ \Imeth{line}{barycenter (r,r)} & |z.C = L.AB : barycenter (1,2)| & see (\ref{ssub:barycenter_with_a_line})\\
+ \Imeth{line}{point (r)} & |z.C = L.AB : point (2)| & $\overrightarrow{AC} = 2\overrightarrow{AB}$ See (\ref{sub:ellipse} ; \ref{ssub:method_point})\\
+\Imeth{line}{midpoint ()} & |z.M = L.AB : midpoint ()| & better is |z.M = L.AB.mid| \\
+\Imeth{line}{harmonic\_int (pt)} & |z.D = L.AB : harmonic_int (z.C)| & See (\ref{sub:bankoff_circle})\\
+\Imeth{line}{harmonic\_ext (pt)} & |z.D = L.AB : harmonic_ext (z.C)| & See (\ref{sub:bankoff_circle})\\
+\Imeth{line}{harmonic\_both (r)} & |z.C,z.D = L.AB : harmonic_both|($\varphi$) & \ref{sub:harmonic_division_with_tkzphi}\\
+\Imeth{line}{square ()} & |S.AB = L.AB : square () | & create a square |S.AB|.\footnote{ |_,_,z.C,z.D = get_points(S.AB)|}\\
+\midrule
+\textbf{Lines} &&\\
+\midrule
+\Imeth{line}{ll\_from ( pt )} & |L.CD = L.AB : ll_from (z.C)| & $(CD) \parallel (AB)$ \\
+\Imeth{line}{ortho\_from ( pt )} & |L.CD = L.AB : ortho_from (z.C)|& $(CD) \perp (AB)$\\
+\Imeth{line}{mediator ()}&|L.uv = L.AB : mediator ()| & $(u,v)$ mediator of $(A,B)$\\
+\midrule
+\textbf{Triangles}&&\\
+\midrule
+\Imeth{line}{equilateral (<swap>)} & |T.ABC = L.AB : equilateral ()| & $(\overrightarrow{AB},\overrightarrow{AC})>0$ or $<0$ with swap \footnote{Triangles are defined in the direct sense of rotation, unless the "swap" option is present.} \\
+\Imeth{line}{isosceles (an<,swap>)} & |T.ABC = L.AB : isosceles (math.pi/6)|& \\
+\Imeth{line}{two\_angles (an,an)} & |T.ABC = L.AB : two_angles (an,an)|&note \footnote{The given side is between the two angles} see ( ) \\
+\Imeth{line}{school ()} & Angle measurements are 30°,60° and 90°. & \\
+\Imeth{line}{sss (r,r)} & $AC=r$ $BC=r$ & \\
+\Imeth{line}{as (r,an)} & $AC =r$ $\widehat{BAC} = an$& \\
+\Imeth{line}{sa (r,an)} & $AC =r$ $\widehat{ABC} = an$& \\
+\midrule
+\textbf{Sacred triangles}&&\\
+\midrule
+\Imeth{line}{gold (<swap>)} & |T.ABC = L.AB : gold ()| & right in $B$ and $AC = \varphi \times AB $ \\
+\Imeth{line}{euclide (<swap>)} & |T.ABC = L.AB : euclide ()| & $AB=AC$ and $(\overrightarrow{AB},\overrightarrow{AC}) = \pi/5$ \\
+\Imeth{line}{golden (<swap>)} & |T.ABC = L.AB : golden ()| &
+ $(\overrightarrow{AB},\overrightarrow{AC}) = 2\times \pi/5$ \\
+\Imeth{line}{divine ()} & & \\
+\Imeth{line}{egyptian ()} & & \\
+\Imeth{line}{cheops ()} & & \\
+\bottomrule
+\end{tabular}
+\egroup
\end{minipage}
-% subsubsection table_of_the_methods_from_class_line (end)
+\begin{minipage}{\textwidth}
+\bgroup
+\catcode`_=12
+\small
+\captionof{table}{Methods of the class line.(part 2)}\label{line:methods2}
+\begin{tabular}{lll}
+\toprule
+\textbf{Methods} & \textbf{Comments} & \\
+\midrule
+\textbf{Circles} &&\\
+\midrule
+\Imeth{line}{circle ()} & |C.AB = L.AB : circle ()| & center pa through pb \\
+\Imeth{line}{circle\_swap ()} & |C.BA = L.AB : circle_swap ()|& center pb through pa \\
+\Imeth{line}{apollonius (r)} & |C.apo = L.AB : apollonius (2)|& Ensemble des points tq. |MA/MB = 2| \\
+\midrule
+\textbf{Transformations} &&\\
+\midrule
+\Imeth{line}{reflection ( obj )} & |new obj = L.AB : reflection (obj|&\\
+\Imeth{line}{translation ( obj )} & |new obj = L.AB : translation (obj)|&\\
+\Imeth{line}{projection ( obj )} & |z.H = L.AB : projection (z.C)| & $CH \perp (AB)$ and $H\in (AB)$\\
+\midrule
+\textbf{Miscellaneous} &&\\
+\midrule
+\Imeth{line}{distance (pt)} & |d = L.Ab : distance (z.C)| & see \ref{ssub:example_distance_and_projection}\\
+\Imeth{line}{in\_out (pt)} & |b = L.AB: in_out(z.C)| & b=true if $C\in (AB)$ \\
+\Imeth{line}{slope ()} & |a = L.AB : slope()| & better is L.AB.slope \\
+\Imeth{line}{in\_out\_segment (pt)} & |b = L.AB : in_out_segment(z.C)| & b=true if $C\in [AB$] \\
+\bottomrule
+\end{tabular}
+\egroup
+\end{minipage}
+
+\vspace{1 em}
Here are a few examples.
+\subsubsection{Triangle with two\_angles} % (fold)
+\label{ssub:triangle_with_two__angles}
+
+The angles are on either side of the given segment
+
+\begin{minipage}{.4\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 4 , 0 )
+ L.AB = line : new ( z.A , z.B )
+ T.ABC = L.AB : two_angles (math.pi/6,math.pi/2)
+ z.C = T.ABC.pc
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygons(A,B,C)
+ \tkzDrawPoints(A,B,C)
+ \tkzLabelPoints(A,B)
+ \tkzLabelPoints[above](C)
+\end{tikzpicture}
+\end{verbatim}
+\end{minipage}
+\begin{minipage}{.6\textwidth}
+ \begin{tkzelements}
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 4 , 0 )
+ L.AB = line : new ( z.A , z.B )
+ T.ABC= L.AB : two_angles (math.pi/6,math.pi/2)
+ z.C = T.ABC.pc
+ \end{tkzelements}
+ \hspace*{\fill}
+ \begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygons(A,B,C)
+ \tkzDrawPoints(A,B,C)
+ \tkzLabelPoints(A,B)
+ \tkzLabelPoints[above](C)
+ \end{tikzpicture}
+ \hspace*{\fill}
+\end{minipage}
+% subsubsection triangle_with_two__angles (end)
+
+\subsubsection{Triangle with three given sides} % (fold)
+\label{ssub:triangle_with_three_given_sides}
+
+In the following example, a small difficulty arises. The given lengths are not affected by scaling, so it's necessary to use the \Igfct{math}{value (r) } function, which will modify the lengths according to the scale.
+
+\begin{minipage}{.4\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+ scale =1.25
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 5 , 0 )
+ L.AB = line : new ( z.A , z.B )
+ T.ABC = L.AB : sss (value(3),value(4))
+ z.C = T.ABC.pc
+\end{tkzelements}
+\begin{tikzpicture}[gridded]
+ \tkzGetNodes
+ \tkzDrawPolygons(A,B,C)
+ \tkzDrawPoints(A,B,C)
+ \tkzLabelPoints(A,B)
+ \tkzLabelPoints[above](C)
+\end{tikzpicture}
+\end{verbatim}
+\end{minipage}
+\begin{minipage}{.6\textwidth}
+ \begin{tkzelements}
+ scale =1.25
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 5 , 0 )
+ L.AB = line : new ( z.A , z.B )
+ T.ABC = L.AB : sss (value(3),value(4))
+ z.C = T.ABC.pc
+ \end{tkzelements}
+\hspace{\fill} \begin{tikzpicture}[gridded]
+ \tkzGetNodes
+ \tkzDrawPolygons(A,B,C)
+ \tkzDrawPoints(A,B,C)
+ \tkzLabelPoints(A,B)
+ \tkzLabelPoints[above](C)
+ \end{tikzpicture}
+\end{minipage}
+% subsubsection triangle_with_three_given_sides (end)
+
+\subsubsection{Triangle with side between side and angle} % (fold)
+\label{ssub:triangle_with_side_between_side_and_angle}
+
+In some cases, two solutions are possible.
+
+\begin{minipage}{.4\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+ scale =1.2
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 5 , 0 )
+ L.AB = line : new ( z.A , z.B )
+ T.ABC,T.ABD = L.AB : ssa (value(3),math.pi/6)
+ z.C = T.ABC.pc
+ z.D = T.ABD.pc
+\end{tkzelements}
+\begin{tikzpicture}[gridded]
+ \tkzGetNodes
+ \tkzDrawPolygons(A,B,C A,B,D)
+ \tkzDrawPoints(A,B,C,D)
+ \tkzLabelPoints(A,B)
+ \tkzLabelPoints[above](C,D)
+ \tkzLabelAngle(C,B,A){$\pi/3$}
+ \tkzLabelSegment[below left](A,C){$7$}
+ \tkzLabelSegment[below left](A,D){$7$}
+\end{tikzpicture}
+\end{verbatim}
+\end{minipage}
+\begin{minipage}{.6\textwidth}
+ \begin{tkzelements}
+ scale =1.2
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 5 , 0 )
+ L.AB = line : new ( z.A , z.B )
+ T.ABC,T.ABD = L.AB : ssa (value(3),math.pi/6)
+ z.C = T.ABC.pc
+ z.D = T.ABD.pc
+ \end{tkzelements}
+ \hspace{\fill} \begin{tikzpicture}[gridded]
+ \tkzGetNodes
+ \tkzDrawPolygons(A,B,C A,B,D)
+ \tkzDrawPoints(A,B,C,D)
+ \tkzLabelPoints(A,B)
+ \tkzLabelPoints[above](C,D)
+ \tkzLabelAngle(C,B,A){$\pi/3$}
+ \tkzLabelSegment[below left](A,C){$7$}
+ \tkzLabelSegment[below left](A,D){$7$}
+ \end{tikzpicture}
+\end{minipage}
+
+% subsubsection triangle_with_side_between_side_and_angle (end)
+
+\subsubsection{About sacred triangles} % (fold)
+\label{ssub:about_triangles}
+The side lengths are proportional to the lengths given in the table. They depend on the length of the initial segment.
+
+\captionof{table}{Sacred triangles.}\label{line:met}
+\begin{tabular}{ll}
+\toprule
+\textbf{Name} & \textbf{definition} \\
+\midrule
+\Imeth{line}{gold (<swap>)} & Right triangle with $a=\varphi$, $b=1$ and $c=\sqrt{\varphi}$\\
+\Imeth{line}{golden (<swap>)} &Right triangle $b=\varphi$ $c=1$ ; half of gold rectangle \\
+\Imeth{line}{divine ()} & Isosceles $a=\varphi$, $b=c=1$ and $\beta = \gamma=\pi/5$ \\
+\Imeth{line}{pythagoras ()} & $a=5$, $b=4$, $c=3$ and other names: isis or egyptian\\
+\Imeth{line}{sublime ()} & Isosceles $a=1$, $b=c=\varphi$ and $\beta =\gamma=2\pi/5$ ; other name: euclid\\
+\Imeth{line}{cheops ()} & Isosceles $a=2$, $b=c=\varphi$ and height = $\sqrt{\varphi}$ \\
+\bottomrule
+\end{tabular}
+
+\begin{minipage}{.4\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 4 , 0 )
+ L.AB = line : new ( z.A , z.B )
+ T.ABC = L.AB : cheops ()
+ z.C = T.ABC.pc
+ T.ABD = L.AB : gold ()
+ z.D = T.ABD.pc
+ T.ABE = L.AB : euclide ()
+ z.E = T.ABE.pc
+ T.ABF = L.AB : golden ()
+ z.F = T.ABF.pc
+ T.ABG = L.AB : devine ()
+ z.G = T.ABG.pc
+ T.ABH = L.AB : pythagoras ()
+ z.H = T.ABH.pc
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygons(A,B,C A,B,D A,B,E A,B,F A,B,G A,B,H)
+ \tkzDrawPoints(A,...,H)
+ \tkzLabelPoints(A,...,H)
+\end{tikzpicture}
+\end{verbatim}
+\end{minipage}
+\begin{minipage}{.6\textwidth}
+\begin{tkzelements}
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 4 , 0 )
+ L.AB = line : new ( z.A , z.B )
+ T.ABC = L.AB : cheops ()
+ z.C = T.ABC.pc
+ T.ABD = L.AB : gold ()
+ z.D = T.ABD.pc
+ T.ABE = L.AB : euclide ()
+ z.E = T.ABE.pc
+ T.ABF = L.AB : golden ()
+ z.F = T.ABF.pc
+ T.ABG = L.AB : divine ()
+ z.G = T.ABG.pc
+ T.ABH = L.AB : pythagoras ()
+ z.H = T.ABH.pc
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygons(A,B,C A,B,D A,B,E A,B,F A,B,G A,B,H)
+ \tkzDrawPoints(A,...,H)
+ \tkzLabelPoints(A,...,H)
+\end{tikzpicture}
+\end{minipage}
+% subsubsection about_triangles (end)
+
+\subsubsection{Method point }% (fold)
+\label{ssub:method_point}
+This method is very useful. It allows you to place a point on the line under consideration.
+If |r = 0| then the point is |pa|, if |r = 1| it's |pb|.
+
+If |r = .5| the point obtained is the midpoint of the segment. |r| can be negative or greater than 1.
+
+This method exists for all objects except quadrilaterals.
+
+
+\begin{minipage}{.4\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+ z.A = point : new (-1,-1)
+ z.B = point : new (1,1)
+ L.AB = line : new (z.A,z.B)
+ z.I = L.AB : point (0.5)
+ z.J = L.AB : point (-0.5)
+ z.K = L.AB : point (2)
+\end{tkzelements}
+\begin{tikzpicture}[gridded]
+\tkzGetNodes
+ \tkzDrawLine(J,K)
+ \tkzDrawPoints(A,B,I,J,K)
+ \tkzLabelPoints(A,B,I,J,K)
+ \end{tikzpicture}
+\end{verbatim}
+\end{minipage}
+\begin{minipage}{.6\textwidth}
+ \begin{tkzelements}
+ z.A = point : new (-1,-1)
+ z.B = point : new (1,1)
+ L.AB = line : new (z.A,z.B)
+ z.I = L.AB : point (0.5)
+ z.J = L.AB : point (-0.5)
+ z.K = L.AB : point (2)
+\end{tkzelements}
+\begin{tikzpicture}[gridded]
+\tkzGetNodes
+ \tkzDrawLine(J,K)
+ \tkzDrawPoints(A,B,I,J,K)
+ \tkzLabelPoints(A,B,I,J,K)
+ \end{tikzpicture}
+ \end{minipage}
+% subsubsection method_point (end)
+
+\subsubsection{Normalize} % (fold)
+\label{ssub:normalize}
+
+
+\begin{minipage}{.4\textwidth}
+ \begin{verbatim}
+ \begin{tkzelements}
+ z.a = point: new (1, 1)
+ z.b = point: new (5, 4)
+ L.ab = line : new (z.a,z.b)
+ z.c = L.ab : normalize ()
+ \end{tkzelements}
+
+ \begin{tikzpicture}[gridded]
+ \tkzGetNodes
+ \tkzDrawSegments(a,b)
+ \tkzDrawCircle(a,c)
+ \tkzDrawPoints(a,b,c)
+ \tkzLabelPoints(a,b,c)
+ \end{tikzpicture}
+ \end{verbatim}
+\end{minipage}
+\begin{minipage}{.6\textwidth}
+\begin{tkzelements}
+ z.a = point: new (1, 1)
+ z.b = point: new (5, 4)
+ L.ab = line : new (z.a,z.b)
+ z.c = L.ab : normalize ()
+\end{tkzelements}
+\hspace*{\fill}
+\begin{tikzpicture}[gridded]
+\tkzGetNodes
+\tkzDrawSegments(a,b)
+\tkzDrawCircle(a,c)
+\tkzDrawPoints(a,b,c)
+\tkzLabelPoints(a,b,c)
+\end{tikzpicture}
+\hspace*{\fill}
+\end{minipage}
+% subsubsection normalize (end)
+
+
+\subsubsection{Barycenter with a line} % (fold)
+\label{ssub:barycenter_with_a_line}
+
+\begin{minipage}{.4\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+ z.A = point : new ( 0 , -1 )
+ z.B = point : new ( 4 , 2 )
+ L.AB = line : new ( z.A , z.B )
+ z.G = L.AB : barycenter (1,2)
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawLine(A,B)
+ \tkzDrawPoints(A,B,G)
+ \tkzLabelPoints(A,B,G)
+\end{tikzpicture}
+\end{verbatim}
+\end{minipage}
+\begin{minipage}{.6\textwidth}
+\begin{tkzelements}
+ z.A = point : new ( 0 , -1 )
+ z.B = point : new ( 4 , 2 )
+ L.AB = line : new ( z.A , z.B )
+ z.G = L.AB : barycenter (1,2)
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawLine(A,B)
+ \tkzDrawPoints(A,B,G)
+ \tkzLabelPoints(A,B,G)
+\end{tikzpicture}
+\end{minipage}
+% subsubsection barycenter_with_a_line (end)
+
\subsubsection{Example: new line from a defined line} % (fold)
\label{ssub:new_line_from_a_defined_line}
\begin{minipage}{0.5\textwidth}
@@ -520,6 +875,33 @@ z.a,z.b = L.ab.pa,L.ab.pb
\subsection{Apollonius circle MA/MB = k} % (fold)
\label{sub:apollonius_circle_ma_mb_k}
+\begin{verbatim}
+\begin{tkzelements}
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 6 , 0 )
+ L.AB =line: new (z.A,z.B)
+ C.apo = L.AB : apollonius (2)
+ z.O,z.C = get_points ( C.apo )
+ z.D = C.apo : antipode (z.C)
+ z.P = C.apo : point (0.30)
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzFillCircle[blue!20,opacity=.2](O,C)
+ \tkzDrawCircle[blue!50!black](O,C)
+ \tkzDrawPoints(A,B,O,C,D,P)
+ \tkzLabelPoints[below right](A,B,O,C,D,P)
+ \tkzDrawSegments[orange](P,A P,B P,D B,D P,C)
+ \tkzDrawSegments[red](A,C)
+ \tkzDrawPoints(A,B)
+ \tkzLabelCircle[draw,fill=green!10,%
+ text width=3cm,text centered,left=24pt](O,D)(60)%
+ {$CA/CB=2$\\$PA/PB=2$\\$DA/DB=2$}
+ \tkzMarkRightAngle[opacity=.3,fill=lightgray](O,P,C)
+ \tkzMarkAngles[mark=||](A,P,D D,P,B)
+\end{tikzpicture}
+\end{verbatim}
+
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 6 , 0 )
@@ -546,7 +928,7 @@ z.P = C.apo : point (0.30)
\tkzMarkAngles[mark=||](A,P,D D,P,B)
\end{tikzpicture}
-Remark: |\tkzUseLua{point.mod(z.P-z.A)/point.mod(z.P-z.B)}| = \tkzUseLua{point.mod(z.P-z.A)/point.mod(z.P-z.B)}
+Remark: |\tkzUseLua{length(z.P,z.A)/length(z.P,z.B)}| = \tkzUseLua{length(z.P,z.A)/length(z.P,z.B)}
% subsection apollonius_circle_ma_mb_k (end)
% subsection methods_from_class_line (end)
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-misc.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-misc.tex
index 017e3ae2d4..d0867da269 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-misc.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-misc.tex
@@ -5,7 +5,7 @@
\bgroup
\catcode`_=12
\small
-\captionof{table}{Math constants and functions.}
+\captionof{table}{Math constants and functions.}\label{misc}
\begin{tabular}{ll}
\toprule
\textbf{contants or functions} & \textbf{Comments}\\
@@ -17,21 +17,31 @@
%tkzround( num, idp ) & \\
% Cramer33(a1,a2,a3,b1,b2,b3,c1,c2,c3) & \\
% Cramer22(a1,a2,b1,b2) & \\
+\Igfct{math}{length (a,b) } & point.abs(a-b) See (\ref{ssub:report_de_distance}) \\
\Igfct{math}{islinear (z1,z2,z3) } & Are the points aligned? (z2-z1) $\parallel$ (z3-z1) ? \\
\Igfct{math}{isortho (z1,z2,z3)} & (z2-z1) $\perp$ (z3-z1) ? boolean\\
+\Igfct{math}{get\_angle (z1,z2,z3)} & the vertex is z1 See (\ref{sub:get_angle}) \\
+\Igfct{math}{bisector (z1,z2,z3)} & L.Aa = bisector (z.A,z.B,z.C) from A (\ref{sub:get_angle})\\
+\Igfct{math}{bisector\_ext (z1,z2,z3)} & L.Aa = bisector_ext (z.A,z.B,z.C) from A \\
+\Igfct{math}{altitude (z1,z2,z3)} & altitude from z1 \\
\Igfct{package}{set\_lua\_to\_tex (list)} & set\_lua\_to\_tex('a','n') defines |\a| and |\n| \\
\Igfct{package}{tkzUseLua (variable)} & |\textbackslash\tkzUseLua{a}| prints the value of a\\
%parabola (a,b,c) & to get \\
\Igfct{math}{value (v) } & apply |scale * value | \\
\Igfct{math}{real (v) } & apply | value /scale | \\
-\Igfct{math}{angle\_normalize (a) } & to get a value between 0 and $2\pi$ \\
-\Igfct{misc}{radical\_center (C1,C2,C3)} & see \ref{sub:radical_center} \\
-\Igfct{misc}{radical\_circle (C1,C2,C3)} & see \ref{sub:radical_circle} \\
+\Igfct{math}{angle\_normalize (an) } & to get a value between 0 and $2\pi$ \\
\Igfct{misc}{barycenter (\{z1,n1\},\{z2,n2\}, ...)} & barycenter of list of points \\
\bottomrule
\end{tabular}
\egroup
+\subsection{Length of a segment} % (fold)
+\label{sub:length_of_a_segment}
+|length(z.A,z.B)| is a shortcut for |point.abs(z.A-z.B)|. This avoids the need to use complexes.
+
+% subsection length_of_a_segment (end)
+
+
\subsection{Harmonic division with tkzphi } % (fold)
\label{sub:harmonic_division_with_tkzphi}
\begin{tkzexample}[latex=0cm,small,code only]
@@ -111,7 +121,7 @@
% subsection function_islinear (end)
-\subsection{Function \tkzfname{value} }% (fold)
+\subsection{Function value }% (fold)
\label{sub:function_value}
value to apply scaling if necessary
@@ -120,7 +130,7 @@ If |scale = 1.2| with a = value(5) the actual value of |a| will be $5\times 1.2
% subsubsection function_value (end)
-\subsubsection{Function \tkzfname{real} }% (fold)
+\subsubsection{Function real }% (fold)
\label{ssub:function_real}
If |scale = 1.2| with a = 6 then real(a) = $6 / 1.2 = 5$ .
@@ -135,44 +145,44 @@ It's possible to transfer variable from Lua to \TEX{} with
\begin{minipage}{.5\textwidth}
- \begin{verbatim}
- \begin{tkzelements}
- z.A = point : new (0 , 0)
- z.B = point : new (4 , 3)
- z.C = point : new (2 , 5)
- L.AB = line : new (z.A,z.B)
- d = L.AB : distance (z.C)
- l = L.AB.length
- z.H = L.AB : projection (z.C)
- \end{tkzelements}
- % possible here \tkzUseLua{L.AB.length}
- \begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawLines(A,B C,H)
- \tkzDrawPoints(A,B,C,H)
- \tkzLabelPoints(A,B,C,H)
- \tkzLabelSegment[above left,draw](C,H){$CH = \tkzUseLua{d}$}
- \tkzLabelSegment[below left,draw](C,H){$AB = \tkzUseLua{l}$}
- \end{tikzpicture}
- \end{verbatim}
+\begin{verbatim}
+\begin{tkzelements}
+ z.A = point : new (0 , 0)
+ z.B = point : new (3 , 2)
+ z.C = point : new (2 , 5)
+ L.AB = line : new (z.A,z.B)
+ d = L.AB : distance (z.C)
+ l = L.AB.length
+ z.H = L.AB : projection (z.C)
+\end{tkzelements}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawLines(A,B C,H)
+\tkzDrawPoints(A,B,C,H)
+\tkzLabelPoints(A,B,C,H)
+\tkzLabelSegment[above right,draw](C,H){$CH = \tkzUseLua{d}$}
+\tkzLabelSegment[below right,draw](A,B){$AB = \tkzUseLua{l}$}
+\end{tikzpicture}
+\end{verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
z.A = point : new (0 , 0)
- z.B = point : new (4 , 3)
+ z.B = point : new (3 , 2)
z.C = point : new (2 , 5)
L.AB = line : new (z.A,z.B)
d = L.AB : distance (z.C)
l = L.AB.length
z.H = L.AB : projection (z.C)
\end{tkzelements}
+ \hspace*{\fill}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawLines(A,B C,H)
\tkzDrawPoints(A,B,C,H)
\tkzLabelPoints(A,B,C,H)
-\tkzLabelSegment[above left,draw](C,H){$CH = \tkzUseLua{d}$}
-\tkzLabelSegment[below left,draw](C,H){$AB = \tkzUseLua{l}$}
+\tkzLabelSegment[above right,draw](C,H){$CH = \tkzUseLua{d}$}
+\tkzLabelSegment[below right,draw](A,B){$AB = \tkzUseLua{l}$}
\end{tikzpicture}
\end{minipage}
% subsection transfer_from_lua_to_tex (end)
@@ -280,7 +290,6 @@ The function |get_angle (a,b,c)| gives the angle normalized of $(\overrightarro
\end{tikzpicture}
\hspace*{\fill}
\end{minipage}
-
% subsection get_angle (end)
\subsection{Dot or scalar product} % (fold)
@@ -343,59 +352,71 @@ With the functions |islinear| and |isortho|. |islinear(z.a,z.b,z.c)| gives |true
|isortho(z.a,z.b,z.c)| gives |true| if the line $(ab)$ is orthogonal to the line $(ac)$.
% subsection alignment_or_orthogonality (end)
+\subsection{Bisector and altitude} % (fold)
+\label{sub:bisector_and_altitude}
+These functions are useful if you don't need to create a useful triangle object for the rest of your code.
+
+\begin{minipage}{.5\textwidth}
+ \begin{verbatim}
+\begin{tkzelements}
+ z.a = point: new (0, 0)
+ z.b = point: new (5, -2)
+ z.c = point: new (2, 3)
+ z.i = bisector (z.a,z.c,z.b).pb
+ z.h = altitude (z.b,z.a,z.c).pb
+ angic = tkzround ( get_angle (z.a,z.i,z.c),2)
+ angci = tkzround ( get_angle (z.a,z.b,z.i),2)
+ z.e = bisector_ext (z.a,z.b,z.c).pb
+\end{tkzelements}
+
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygon(a,b,c)
+ \tkzDrawSegments(a,i b,h a,e)
+ \tkzDrawPoints(a,b,c,i,h)
+ \tkzLabelPoints(a,b)
+ \tkzLabelPoints[above](c,i,h)
+ \tkzMarkAngle[->](i,a,c)
+ \tkzLabelAngle[font=\tiny,pos=.75](i,a,c){\tkzUseLua{angci}}
+ \tkzMarkAngle[<-](b,a,i)
+ \tkzLabelAngle[font=\tiny,pos=.75](b,a,i){\tkzUseLua{angic}}
+\end{tikzpicture}
+ \end{verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+ z.a = point: new (0, 0)
+ z.b = point: new (5, -2)
+ z.c = point: new (2, 3)
+ z.i = bisector (z.a,z.c,z.b).pb
+ z.h = altitude (z.b,z.a,z.c).pb
+ angic = tkzround ( get_angle (z.a,z.i,z.c),2)
+ angci = tkzround ( get_angle (z.a,z.b,z.i),2)
+ z.e = bisector_ext (z.a,z.b,z.c).pb
+\end{tkzelements}
+\hspace{\fill}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygon(a,b,c)
+ \tkzDrawSegments(a,i b,h a,e)
+ \tkzDrawPoints(a,b,c,i,h)
+ \tkzLabelPoints(a,b)
+ \tkzLabelPoints[above](c,i,h)
+ \tkzMarkAngle[->](i,a,c)
+ \tkzLabelAngle[font=\tiny,pos=.75](i,a,c){\tkzUseLua{angci}}
+ \tkzMarkAngle[<-](b,a,i)
+ \tkzLabelAngle[font=\tiny,pos=.75](b,a,i){\tkzUseLua{angic}}
+\end{tikzpicture}
+\end{minipage}
+% subsection bisector_and_altitude (end)
+
\subsection{Other functions} % (fold)
\label{sub:other_functions}
Not documented because still in beta version: |parabola|, |Cramer22|, |Cramer33|.
% subsection other_functions (end)
-
% section math_functions (end)
-% % section classes_and_objects (end)
-\endinput
-
-
+\endinput
-% \bgroup
-% \catcode`_=12
-% \begin{table}[H]
-% \small
-% \begin{center}
-% \caption{functions\_polygons.lua }
-% \begin{tabular}{lll}
-% \toprule
-% \textbf{Functions} & \textbf{Comments}\\
-% \midrule
-% function square (a,b) \\
-% function parallelogram (a,b,c) \\
-% \bottomrule
-% \end{tabular}
-% \end{center}
-% \end{table}
-% \egroup
-
-
-% \bgroup
-% \catcode`_=12
-% \begin{table}[H]
-% \small
-% \begin{center}
-% \caption{elements\_vectors.lua }
-% \begin{tabular}{lll}
-% \toprule
-% \textbf{Methods} & \textbf{Comments}\\
-% \midrule
-% vector = {} class vector \\
-% \Imeth{vector}{function vector: new (z1,z2)} & st, ed \\
-% \Imeth{vector}{function vector: normalize ()} &\\
-% \bottomrule
-% \end{tabular}
-% \end{center}
-% \end{table}
-% \egroup
-
-
-
-
-\endinput \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-parallelogram.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-parallelogram.tex
index 2b4a165a28..e818cdece0 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-parallelogram.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-parallelogram.tex
@@ -14,7 +14,7 @@ Creation | P.new = parallelogram : new (z.A,z.B,z.C,z.D)|
\bgroup
\catcode`_=12
\small
-\captionof{table}{Parallelogram attributes.}
+\captionof{table}{Parallelogram attributes.}\label{parallelogram:att}
\begin{tabular}{lll}
\toprule
\textbf{Attributes} & \textbf{Application} & \\
@@ -93,7 +93,7 @@ z.I = P.new.center
\bgroup
\catcode`_=12
\small
-\captionof{table}{Parallelogram methods.}
+\captionof{table}{Parallelogram methods.}\label{parallelogram:met}
\begin{tabular}{ll}
\toprule
\textbf{Methods} & \textbf{Comments} \\
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-point.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-point.tex
index ef9ddbfc76..45f7991c92 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-point.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-point.tex
@@ -97,15 +97,15 @@ This is the creation of a fixed point with coordinates 1 and 2 and which is name
\bgroup
\small
\catcode`_=12
-\captionof{table}{Point attributes.}
+\captionof{table}{Point attributes.}\label{point:att}
\begin{tabular}{lll}
\toprule
-\textbf{Attributes} & \textbf{Application}\\
-\Iattr{point}{re} & |z.A.re| &\tkzar |z.A = point:new (1,2) x = z.A.re|=1\\
-\Iattr{point}{im} & |z.A.im| &\tkzar |z.A = point:new (1,2) y= z.A.im|=2\\
-\Iattr{point}{type} & |z.A.type| &\tkzar |z.A.type = 'point'|\\
-\Iattr{point}{argument} & |z.A.argument| &\tkzar |z.A.argument $\approx$ 0.78539816339745|\\
-\Iattr{point}{module} & |z.A.module| &\tkzar |z.A.module| $\approx$ |2.2360...| =$\sqrt{5}$\\
+\textbf{Attributes} & \textbf{Application}& \textbf{Example}\\
+\Iattr{point}{re} & |z.A.re = 1| & see (\ref{ssub:methods}) \\
+\Iattr{point}{im} & |z.A.im = 2| &see (\ref{ssub:methods}) \\
+\Iattr{point}{type} & |z.A.type = 'point| & \\
+\Iattr{point}{argument} & |z.A.argument $\approx$ 0.78539816339745| & see (\ref{ssub:example_point_attributes})\\
+\Iattr{point}{module} & |z.A.module| $\approx$ |2.2360...| =$\sqrt{5}$ & see (\ref{ssub:example_point_attributes})\\
\bottomrule
\end{tabular}
\egroup
@@ -126,13 +126,13 @@ This is the creation of a fixed point with coordinates 1 and 2 and which is name
\end{tkzelements}
\end{verbatim}
\pgfkeys{/pgf/number format/.cd,std,precision=2}
-\let\pmpn\pgfmathprintnumber
+\let\pmpn\pgfmathprintnumber
\DeleteShortVerb{\|}
\begin{verbatim}
\begin{tikzpicture}[scale = 1]
\pgfkeys{/pgf/number format/.cd,std,precision=2}
-\let\pmpn\pgfmathprintnumber
+\let\pmpn\pgfmathprintnumber
\tkzDefPoints{2/4/M,2/0/A,0/0/O,0/4/B}
\tkzLabelPoints(O)
\tkzMarkAngle[fill=gray!30,size=1](A,O,M)
@@ -154,7 +154,7 @@ $|z_M| =\sqrt{5}\approx \pmpn{\tkzUseLua{z.M.modulus}}$ cm}
\begin{center}
\begin{tikzpicture}
\pgfkeys{/pgf/number format/.cd,std,precision=2}
- \let\pmpn\pgfmathprintnumber
+ \let\pmpn\pgfmathprintnumber
\tkzDefPoints{2/4/M,2/0/A,0/0/O,0/4/B}
\tkzLabelPoints(O)
\tkzMarkAngle[fill=gray!30,size=1](A,O,M)
@@ -172,7 +172,7 @@ $|z_M| =\sqrt{5}\approx \pmpn{\tkzUseLua{z.M.modulus}}$ cm}
\begin{scope}[every annotation/.style={fill=lightgray!15,anchor = east}]
\node [annotation,font =\small,text width=6cm] at (current bounding box.west) {
Attributes of \texttt{z.M}
- \begin{itemize}
+ \begin{itemize}
\item \texttt{z.M.re} = 1
\item \texttt{z.M.im} = 2
\item \texttt{z.M.type} = 'point'
@@ -184,7 +184,7 @@ Attributes of \texttt{z.M}
\end{tikzpicture}
\end{center}
-\MakeShortVerb{\|}
+ \MakeShortVerb{\|}
\hspace*{\fill}
% \caption{Class Point}
% subsubsection example_point_attributes (end)
@@ -192,13 +192,13 @@ Attributes of \texttt{z.M}
\subsubsection{Argand diagram} % (fold)
\label{ssub:argand_diagram}
-\normalsize
+\normalsize
\begin{minipage}{\textwidth}
\begin{verbatim}
\begin{tkzelements}
z.A = point : new ( 2 , 3 )
- z.O = point : new ( 0 , 0 )
- z.I = point : new ( 1 , 0 )
+ z.O = point : new ( 0 , 0 )
+ z.I = point : new ( 1 , 0 )
\end{tkzelements}
\hspace{\fill}\begin{tikzpicture}
\tkzGetNodes
@@ -218,8 +218,8 @@ Attributes of \texttt{z.M}
\begin{minipage}{\textwidth}
\begin{tkzelements}
z.A = point : new ( 2 , 3 )
- z.O = point : new ( 0 , 0 )
- z.I = point : new ( 1 , 0 )
+ z.O = point : new ( 0 , 0 )
+ z.I = point : new ( 1 , 0 )
\end{tkzelements}
\hspace{\fill}\begin{tikzpicture}
\tkzGetNodes
@@ -242,53 +242,54 @@ Attributes of \texttt{z.M}
\subsection{Methods of the class point} % (fold)
\label{sub:methods_of_the_class_point}
-The methods described in the following table are standard. You'll find them in most of the examples at the end of this documentation. The result of the different methods presented in the following table is a \tkzNameObj{point}.
+The methods described in the following table are standard. You'll find them in most of the examples at the end of this documentation. The result of the different methods presented in the following table is a \tkzNameObj{point}.
\vspace{1em}
\bgroup
\catcode`_=12
\small
-\captionof{table}{Methods of the class point.}
-\begin{tabular}{lll}
-\toprule
-\textbf{Methods} & \textbf{Application}& \\
+\captionof{table}{Methods of the class point.}\label{point:met}
+\begin{tabular}{lll}
+\toprule
+\textbf{Methods} & \textbf{Application}& \\
+\midrule
+\Imeth{point}{new(r, r)} & |z.A = point : new(1,2)| & see (\ref{ssub:method_normalize}) \\
+\Imeth{point}{polar (d, an)} & |z.A = point : polar(1,math.pi/3)| & see (\ref{sub:archimedes} )\\
+\Imeth{point}{polar\_deg an} & an in deg & polar coordinates an deg \\
\midrule
- new (a,b) & |z.a = point : new(1,2)| &\tkzar affix z.a=1+2i \\
- polar (radius, phi) & |z.a = point : polar(1,math.pi/3)| &\tkzar affix $cos(\pi/3)+sin(\pi/3)i$ \\
- polar_deg (radius, phi) & phi in deg &\tkzar polar coordinates phi deg \\
-\midrule
- \textbf{Points} &&\\
-\midrule
- north(d) & see \ref{sub:power_v2} |d| distance to the point & d=1 1 if empty \\
- south(d) & \\
- east(d) & \\
- west(d) & \\
- normalize() & |z.b = z.a: normalize ()| &\tkzar |z.b| = 1 and z.a = k$\times$ z.b \\
- get_points (obj) & retrieves points from the object & \\
- \midrule
+\textbf{Points} &&\\
+\midrule
+\Imeth{point}{north(r)} & |r| distance to the point (1 if empty) & see (\ref{sub:power_v2}) ; \ref{ssub:methods}) \\
+\Imeth{point}{south(r)} & & \\
+\Imeth{point}{east(r)} & & \\
+\Imeth{point}{west(r)} & & \\
+\Imeth{point}{normalize()} & |z.b = z.a: normalize ()| & see (\ref{ssub:method_normalize}) \\
+\Imeth{point}{get\_points (obj)} & retrieves points from the object & \\
+ \midrule
\textbf{Transformations} &&\\
\midrule
- symmetry(obj) & obj : point,line,etc. &\tkzar z.a:symmetry (C.OH) \\
- rotation(angle , obj) & point,line,etc. &\tkzar rotation center a\\
- homothety(k,obj) & |z.c = z.a : homothety (2,z.b)| & \\
-\bottomrule %
+ \Imeth{point}{symmetry(obj)} & obj : point, line, etc. & see (\ref{ssub:object_symmetry}) \\
+ \Imeth{point}{rotation(an , obj)} & point, line, etc. & see (\ref{ssub:object_rotation})\\
+ \Imeth{point}{homothety(r,obj)} & |z.c = z.a : homothety (2,z.b)| & see (\ref{sub:homothety}) \\
+\bottomrule %
\end{tabular}
\egroup
\subsubsection{Example: method \Imeth{point}{north (d)} } % (fold)
\label{ssub:example_method_imeth_point_north_d}
+This function defines a point located on a vertical line passing through the given point. This function is useful if you want to report a certain distance (see the following example).
If |d| is absent then it is considered equal to 1.
\begin{minipage}{.5\textwidth}
\begin{verbatim}
\begin{tkzelements}
- z.O = point : new ( 0, 0 )
- z.A = z.O : east ()
- z.Ap = z.O : east (2) : north (2)
- z.B = z.O : north ()
- z.C = z.O : west ()
- z.D = z.O : south ()
+ z.O = point : new ( 0, 0 )
+ z.A = z.O : east ()
+ z.Ap = z.O : east (2) : north (2)
+ z.B = z.O : north ()
+ z.C = z.O : west ()
+ z.D = z.O : south ()
\end{tkzelements}
\begin{tikzpicture}
\tkzGetNodes
@@ -300,12 +301,12 @@ If |d| is absent then it is considered equal to 1.
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
scale = 1.5
- z.O = point : new ( 0, 0 )
- z.A = z.O : east ()
+ z.O = point : new ( 0, 0 )
+ z.A = z.O : east ()
z.Ap = z.O : east (2) : north (2)
- z.B = z.O : north ()
- z.C = z.O : west ()
- z.D = z.O : south ()
+ z.B = z.O : north ()
+ z.C = z.O : west ()
+ z.D = z.O : south ()
\end{tkzelements}
\hspace{\fill}
\begin{tikzpicture}
@@ -317,8 +318,66 @@ If |d| is absent then it is considered equal to 1.
\end{minipage}
% subsubsection example_method_imeth_point_north_d (end)
+
+\subsubsection{Length transfer} % (fold)
+\label{ssub:report_de_distance}
+
+Use of |north and east| functions linked to points, to transfer lengths, see (\ref{sub:length_of_a_segment})
+
+\begin{minipage}{.4\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 3 , 0 )
+ L.AB = line : new ( z.A , z.B )
+ T.ABC = L.AB : sublime ()
+ z.C = T.ABC.pc
+ z.D = z.B: north (length(z.B,z.C))
+ z.E = z.B: east (L.AB.length)
+ z.M = L.AB.mid
+ z.F = z.E : north (length(z.C,z.M))
+\end{tkzelements}
+\begin{tikzpicture}[gridded]
+ \tkzGetNodes
+ \tkzDrawPolygons(A,B,C)
+ \tkzDrawSegments[gray,dashed](B,D B,E E,F C,M)
+ \tkzDrawPoints(A,...,F)
+ \tkzLabelPoints(A,B,E,M)
+ \tkzLabelPoints[above right](C,D,F)
+\end{tikzpicture}
+\end{verbatim}
+\end{minipage}
+\begin{minipage}{.6\textwidth}
+\begin{tkzelements}
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 3 , 0 )
+ L.AB = line : new ( z.A , z.B )
+ T.ABC = L.AB : sublime ()
+ z.C = T.ABC.pc
+ z.D = z.B: north (length(z.B,z.C))
+ z.E = z.B: east (L.AB.length)
+ z.M = L.AB.mid
+ z.F = z.E : north (length(z.C,z.M))
+\end{tkzelements}
+\hspace{\fill}
+\begin{tikzpicture}[gridded]
+ \tkzGetNodes
+ \tkzDrawPolygons(A,B,C)
+ \tkzDrawSegments[gray,dashed](B,D B,E E,F C,M)
+ \tkzDrawPoints(A,...,F)
+ \tkzLabelPoints(A,B,E,M)
+ \tkzLabelPoints[above right](C,D,F)
+\end{tikzpicture}
+\end{minipage}
+
+% subsubsection report_de_distance (end)
+
+
\subsubsection{Example: method \Imeth{point}{polar} } % (fold)
\label{ssub:example_polar_method}
+
+This involves defining a point using its modulus and argument.
+
\begin{minipage}{0.6\textwidth}
\begin{tkzexample}[latex=0cm,small,code only]
\begin{tkzelements}
@@ -327,7 +386,7 @@ If |d| is absent then it is considered equal to 1.
z.F = point: polar (3, math.pi/3)
\end{tkzelements}
\begin{tikzpicture}
- \tkzGetNodes
+ \tkzGetNodes
\tkzDrawCircle(O,A)
\tkzDrawSegments[new](O,A)
\tkzDrawSegments[purple](O,F)
@@ -345,7 +404,7 @@ If |d| is absent then it is considered equal to 1.
\end{tkzelements}
\hspace*{\fill}
\begin{tikzpicture}
-\tkzGetNodes
+\tkzGetNodes
\tkzDrawCircle(O,A)
\tkzDrawSegments[new](O,A)
\tkzDrawSegments[purple](O,F)
@@ -356,8 +415,57 @@ If |d| is absent then it is considered equal to 1.
\end{minipage}
% subsubsection example_polar_method (end)
-\subsubsection{Example: rotation of points} % (fold)
+\subsubsection{Method \Imeth{point}{normalize ()}} % (fold)
+\label{ssub:method_normalize}
+
+The result is a point located between the origin and the initial point at a distance of $1$ from the origin.
+
+\begin{minipage}{.4\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+ scale = 1.5
+ z.O = point : new (0,0)
+ z.A = point : new (1,2)
+ z.B = z.A : normalize ()
+ z.I = point : new (1,0)
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawSegment(O,A)
+ \tkzDrawCircle(O,B)
+ \tkzDrawPoints(O,A,B,I)
+ \tkzLabelPoints(O,A,B)
+ \tkzLabelPoint[below right](I){$1$}
+\end{tikzpicture}
+\end{verbatim}
+\end{minipage}
+\begin{minipage}{.6\textwidth}
+\begin{tkzelements}
+scale = 1.5
+z.O = point : new (0,0)
+z.A = point : new (1,2)
+z.B = z.A : normalize ()
+z.I = point : new (1,0)
+\end{tkzelements}
+ \hspace*{\fill}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawSegment(O,A)
+\tkzDrawCircle(O,B)
+\tkzDrawPoints(O,A,B,I)
+\tkzLabelPoints(O,A,B)
+\tkzLabelPoint[below right](I){$1$}
+\end{tikzpicture}
+ \hspace*{\fill}
+\end{minipage}
+% subsubsection method_normalize (end)
+
+
+\subsubsection{Example: \Imeth{point}{rotation of points}} % (fold)
\label{ssub:example_rotation_of_points}
+
+The arguments are the angle of rotation in radians, and here a list of points.
+
\begin{minipage}{.6\textwidth}
\begin{tkzexample}[latex=0cm,small,code only]
\begin{tkzelements}
@@ -398,25 +506,25 @@ If |d| is absent then it is considered equal to 1.
\end{minipage}
% subsubsection example_rotation_of_points (end)
-\subsubsection{Object rotation} % (fold)
+\subsubsection{Object \Imeth{point}{rotation}} % (fold)
\label{ssub:object_rotation}
Rotate a triangle by an angle of $\pi/6$ around $O$.
\begin{minipage}{.5\textwidth}
\begin{verbatim}
\begin{tkzelements}
-z.O = point : new ( -1 , -1 )
-z.A = point : new ( 2 , 0 )
-z.B = point : new ( 5 , 0 )
-L.AB = line : new (z.A,z.B)
-T.ABC = L.AB : equilateral ()
-S.fig = L.AB : square ()
-_,_,z.E,z.F = get_points ( S.fig )
-S.new = z.O : rotation (math.pi/3,S.fig)
-_,_,z.Ep,z.Fp = get_points ( S.new )
-z.C = T.ABC.pc
-T.ApBpCp = z.O : rotation (math.pi/3,T.ABC)
-z.Ap,z.Bp,z.Cp = get_points ( T.ApBpCp)
+ z.O = point : new ( -1 , -1 )
+ z.A = point : new ( 2 , 0 )
+ z.B = point : new ( 5 , 0 )
+ L.AB = line : new (z.A,z.B)
+ T.ABC = L.AB : equilateral ()
+ S.fig = L.AB : square ()
+ _,_,z.E,z.F = get_points ( S.fig )
+ S.new = z.O : rotation (math.pi/3,S.fig)
+ _,_,z.Ep,z.Fp = get_points ( S.new )
+ z.C = T.ABC.pc
+ T.ApBpCp = z.O : rotation (math.pi/3,T.ABC)
+ z.Ap,z.Bp,z.Cp = get_points ( T.ApBpCp)
\end{tkzelements}
\begin{tikzpicture}
@@ -430,18 +538,18 @@ z.Ap,z.Bp,z.Cp = get_points ( T.ApBpCp)
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
-z.O = point : new ( -1 , -1 )
-z.A = point : new ( 2 , 0 )
-z.B = point : new ( 5 , 0 )
+z.O = point : new ( -1 , -1 )
+z.A = point : new ( 2 , 0 )
+z.B = point : new ( 5 , 0 )
L.AB = line : new (z.A,z.B)
T.ABC = L.AB : equilateral ()
S.fig = L.AB : square ()
-_,_,z.E,z.F = get_points ( S.fig )
+_,_,z.E,z.F = get_points ( S.fig )
S.new = z.O : rotation (math.pi/3,S.fig)
-_,_,z.Ep,z.Fp = get_points ( S.new )
+_,_,z.Ep,z.Fp = get_points ( S.new )
z.C = T.ABC.pc
T.ApBpCp = z.O : rotation (math.pi/3,T.ABC)
-z.Ap,z.Bp,z.Cp = get_points ( T.ApBpCp)
+z.Ap,z.Bp,z.Cp = get_points ( T.ApBpCp)
\end{tkzelements}
\hspace{\fill}\begin{tikzpicture}
@@ -453,12 +561,12 @@ z.Ap,z.Bp,z.Cp = get_points ( T.ApBpCp)
\tkzDrawArc[delta=0,->,dashed,red](O,A)(A')
\tkzDrawSegments[dashed,red](O,A O,A')
\end{scope}
-
+
\end{tikzpicture}
\end{minipage}
% subsubsection object_rotation (end)
-\subsubsection{Object symmetry} % (fold)
+\subsubsection{Object \Imeth{point}{symmetry}} % (fold)
\label{ssub:object_symmetry}
\begin{minipage}{.5\textwidth}
\begin{verbatim}
@@ -470,7 +578,7 @@ z.Ap,z.Bp,z.Cp = get_points ( T.ApBpCp)
z.o = point: new(1,1)
z.ap,z.bp = get_points (z.o: symmetry (C.ab))
\end{tkzelements}
-
+
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawCircles(a,b a',b')
@@ -490,7 +598,7 @@ z.Ap,z.Bp,z.Cp = get_points ( T.ApBpCp)
z.o = point: new(1, 1)
z.ap,z.bp = get_points (z.o: symmetry (C.ab))
\end{tkzelements}
-
+
\hspace{\fill}\begin{tikzpicture}
\tkzGetNodes
\tkzDrawCircles(a,b a',b')
@@ -502,5 +610,6 @@ z.Ap,z.Bp,z.Cp = get_points ( T.ApBpCp)
\end{minipage}
% subsubsection object_symmetry (end)
% subsection methods_of_the_class_point (end)
+
% section class_point (end)
\endinput \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-quadrilateral.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-quadrilateral.tex
index 2171337792..8b777de57b 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-quadrilateral.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-quadrilateral.tex
@@ -13,7 +13,7 @@ Creation | Q.new = rectangle : new (z.A,z.B,z.C,z.D)|
\bgroup
\catcode`_=12
\small
-\captionof{table}{rectangle attributes.}
+\captionof{table}{rectangle attributes.}\label{quadrilateral:att}
\begin{tabular}{lll}
\toprule
\textbf{Attributes} & \textbf{Application} & \\
@@ -88,7 +88,7 @@ z.G = Q.ABCD.g
\bgroup
\catcode`_=12
\small
-\captionof{table}{Quadrilateral methods.}
+\captionof{table}{Quadrilateral methods.}\label{quadrilateral:met}
\begin{tabular}{ll}
\toprule
\textbf{Methods} & \textbf{Comments} \\
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-rectangle.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-rectangle.tex
index 418278a99f..8b591cc61e 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-rectangle.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-rectangle.tex
@@ -14,7 +14,7 @@ Creation | R.ABCD = rectangle : new (z.A,z.B,z.C,z.D)|
\bgroup
\catcode`_=12
\small
-\captionof{table}{rectangle attributes.}
+\captionof{table}{rectangle attributes.}\label{rectangle:att}
\begin{tabular}{lll}
\toprule
\textbf{Attributes} & \textbf{Application} & \\
@@ -95,7 +95,7 @@ z.I = R.new.center
\bgroup
\catcode`_=12
\small
-\captionof{table}{Rectangle methods.}
+\captionof{table}{Rectangle methods.}\label{rectangle:met}
\begin{tabular}{lll}
\toprule
\textbf{Methods} & \textbf{Comments} & \\
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-regular.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-regular.tex
index 4a25afdfe5..6460af030d 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-regular.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-regular.tex
@@ -11,20 +11,20 @@ Creation | RP.IA = regular_polygon : new (z.I,z.A,6)|
\bgroup
\catcode`_=12
\small
-\captionof{table}{Regular\_polygon attributes.}
+\captionof{table}{Regular\_polygon attributes.}\label{regular:att}
\begin{tabular}{ll}
\toprule
-\textbf{Attributes} & \textbf{Application} \\
-\Iattr{square}{center} & |z.I = RP.IA.center| \\
-\Iattr{square}{table} & array containing all vertex affixes \\
-\Iattr{square}{through} & first vertex \\
-\Iattr{square}{circle} & defines the circle with center I passing through A \\
-\Iattr{square}{type} & |RP.IA.type= 'regular\_polygon'| \\
-\Iattr{square}{side} & |s = RP.IA.side| ; s = length of side\\
-\Iattr{square}{exradius}& |S.AB.exradius| ; radius of the circumscribed circle \\
-\Iattr{square}{inradius}& |S.AB.inxradius| ; radius of the inscribed circle \\
-\Iattr{square}{proj} & |RP.IA.proj| ; projection of the center on one side \\
-\Iattr{square}{angle} & |RP.IA.angle| ; angle formed by the center and 2 consecutive vertices \\
+\textbf{Attributes} & \textbf{Application} \\
+\Iattr{regular}{center} & |z.I = RP.IA.center| \\
+\Iattr{regular}{table} & array containing all vertex affixes \\
+\Iattr{regular}{through} & first vertex \\
+\Iattr{regular}{circle} & defines the circle with center I passing through A \\
+\Iattr{regular}{type} & |RP.IA.type= 'regular\_polygon'| \\
+\Iattr{regular}{side} & |s = RP.IA.side| ; s = length of side\\
+\Iattr{regular}{exradius}& |S.AB.exradius| ; radius of the circumscribed circle \\
+\Iattr{regular}{inradius}& |S.AB.inxradius| ; radius of the inscribed circle \\
+\Iattr{regular}{proj} & |RP.IA.proj| ; projection of the center on one side \\
+\Iattr{regular}{angle} & |RP.IA.angle| ; angle formed by the center and 2 consecutive vertices \\
\bottomrule %
\end{tabular}
\egroup
@@ -81,7 +81,7 @@ z.H = RP.five.proj
\bgroup
\catcode`_=12
\small
-\captionof{table}{Circle methods.}
+\captionof{table}{Circle methods.}\label{regular:met}
\begin{tabular}{ll}
\toprule
\textbf{Methods} & \textbf{Comments} \\
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-square.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-square.tex
index 15996c203f..fae6d71b2b 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-square.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-square.tex
@@ -13,7 +13,7 @@ Creation | S.AB = square : new (z.A,z.B,z.C,z.D)|
\bgroup
\catcode`_=12
\small
-\captionof{table}{Square attributes.}
+\captionof{table}{Square attributes.}\label{square:att}
\begin{tabular}{lll}
\toprule
\textbf{Attributes} & \textbf{Application} & \\
@@ -98,7 +98,7 @@ z.H = S.new.proj
\bgroup
\catcode`_=12
\small
-\captionof{table}{Square methods.}
+\captionof{table}{Square methods.}\label{square:met}
\begin{tabular}{lll}
\toprule
\textbf{Methods} & \textbf{Comments}& \\
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-triangle.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-triangle.tex
index 9c6e822704..a65899c0ef 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-triangle.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-triangle.tex
@@ -13,7 +13,7 @@ The triangle object is created using the \Imeth{triangle}{new} method, for examp
\bgroup
\catcode`_=12
\small
-\captionof{table}{Triangle attributes.}
+\captionof{table}{Triangle attributes.}\label{triangle:att}
\begin{tabular}{ll}
\toprule
\textbf{Attributes} & \textbf{Application}\\
@@ -114,7 +114,7 @@ The triangle object is created using the \Imeth{triangle}{new} method, for examp
\catcode`_=12
\small
\begin{minipage}{\textwidth}
-\captionof{table}{triangle methods.}
+\captionof{table}{triangle methods.}\label{triangle:met}
\begin{tabular}{ll}
\toprule
\textbf{Methods} & \textbf{Comments} \\
@@ -154,6 +154,10 @@ The triangle object is created using the \Imeth{triangle}{new} method, for examp
\end{minipage}
\egroup
+Remark: If you don't need to use the triangle object several times, you can obtain a bisector or a altitude with the next functions
+
+|bisector (z.A,z.B,z.C)| and |altitude (z.A,z.B,z.C)| See (\ref{misc})
+
\clearpage\newpage
\bgroup
\catcode`_=12
@@ -210,6 +214,7 @@ Through the Lemoine point draw lines parallel to the triangle's sides. The point
\subsubsection{Euler line} % (fold)
\label{ssub:euler_line}
+\begin{minipage}{.5\textwidth}
\begin{tkzexample}[latex=0cm,small,code only]
\begin{tkzelements}
z.A = point: new (0 , 0)
@@ -229,16 +234,16 @@ Through the Lemoine point draw lines parallel to the triangle's sides. The point
\tkzDrawCircle[red](N,I)
\tkzDrawCircles[teal](O,A)
\tkzDrawSegments(A,P B,Q C,R)
- \tkzDrawSegments[red](A,I B,J C,K)
+ \tkzDrawSegments[red](A,I B,J C,K)\include{TKZdoc-elements-classes-triangle.tex}
\tkzDrawPolygons(A,B,C)
\tkzDrawPoints(A,B,C,N,I,J,K,O,P,Q,R,H,G)
\tkzLabelPoints(A,B,C,I,J,K,P,Q,R,H)
\tkzLabelPoints[below](N,O,G)
\end{tikzpicture}
\end{tkzexample}
-
+\end{minipage}
+\begin{minipage}{.5\textwidth}
\begin{tkzelements}
- scale =1
z.A = point: new (0 , 0)
z.B = point: new (6 , 0)
z.C = point: new (1.5 , 3.5)
@@ -250,7 +255,6 @@ Through the Lemoine point draw lines parallel to the triangle's sides. The point
z.P,z.Q,z.R = get_points (T.ABC: orthic())
z.K,z.I,z.J = get_points (T.ABC: medial ())
\end{tkzelements}
-
\hspace*{\fill}
\begin{tikzpicture}
\tkzGetNodes
@@ -264,54 +268,41 @@ Through the Lemoine point draw lines parallel to the triangle's sides. The point
\tkzLabelPoints(A,B,C,I,J,K,P,Q,R)
\tkzLabelPoints[below](N,O,G,H)
\end{tikzpicture}
-\hspace*{\fill}
+\end{minipage}
+
%\caption{Euler line}
% subsubsection euler_line (end)
\subsection{Harmonic division and bisector} % (fold)
\label{sub:harmonic_division_and_bisector}
-\begin{tkzexample}[small,code only]
-\begin{tkzelements}
- scale = .75
- z.A = point: new (0 , 0)
- z.B = point: new (6 , 0)
- z.M = point: new (5 , 4)
- T.AMB = triangle : new (z.A,z.M,z.B)
- L.AB = T.AMB.ca
- L.bis = T.AMB : bisector (1)
- z.C = L.bis.pb
- L.bisext = T.AMB : bisector_ext (1)
- z.D = intersection (L.bisext,L.AB)
- L.CD = line: new (z.C,z.D)
- z.O = L.CD.mid
- L.AM = line: new (z.A,z.M)
- L.LL = L.AM : ll_from (z.B)
- L.MC = line: new (z.M,z.C)
- L.MD = line: new (z.M,z.D)
- z.E = intersection (L.LL,L.MC)
- z.F = intersection (L.LL,L.MD)
-\end{tkzelements}
-\begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawPolygon(A,B,M)
- \tkzDrawCircle[purple](O,C)
- \tkzDrawSegments[purple](M,E M,D E,F)
- \tkzDrawSegments(D,B)
- \tkzDrawPoints(A,B,M,C,D,E,F)
- \tkzLabelPoints[below right](A,B,C,D,E)
- \tkzLabelPoints[above](M,F)
- \tkzFillAngles[opacity=.4,cyan!20](A,M,B B,E,M)
- \tkzFillAngles[opacity=.4,purple!20](B,M,F M,F,B)
- \tkzMarkRightAngle[opacity=.4,fill=gray!20](C,M,D)
- \tkzMarkAngles[mark=||](A,M,E E,M,B B,E,M)
- \tkzMarkAngles[mark=|](B,M,F M,F,B)
- \tkzMarkSegments(B,E B,M B,F)
-\end{tikzpicture}
-\end{tkzexample}
-
+\begin{minipage}{.4\textwidth}
+ \begin{verbatim}
+ \begin{tkzelements}
+ scale = .4
+ z.A = point: new (0 , 0)
+ z.B = point: new (6 , 0)
+ z.M = point: new (5 , 4)
+ T.AMB = triangle : new (z.A,z.M,z.B)
+ L.AB = T.AMB.ca
+ L.bis = T.AMB : bisector (1)
+ z.C = L.bis.pb
+ L.bisext = T.AMB : bisector_ext (1)
+ z.D = intersection (L.bisext,L.AB)
+ L.CD = line: new (z.C,z.D)
+ z.O = L.CD.mid
+ L.AM = line: new (z.A,z.M)
+ L.LL = L.AM : ll_from (z.B)
+ L.MC = line: new (z.M,z.C)
+ L.MD = line: new (z.M,z.D)
+ z.E = intersection (L.LL,L.MC)
+ z.F = intersection (L.LL,L.MD)
+ \end{tkzelements}
+ \end{verbatim}
+\end{minipage}
+\begin{minipage}{.6\textwidth}
\begin{tkzelements}
- scale =.75
+ scale =.4
z.A = point: new (0 , 0)
z.B = point: new (6 , 0)
z.M = point: new (5 , 4)
@@ -330,9 +321,7 @@ Through the Lemoine point draw lines parallel to the triangle's sides. The point
z.E = intersection (L.LL,L.MC)
z.F = intersection (L.LL,L.MD)
\end{tkzelements}
-
-
-\hspace*{\fill}
+\hspace{\fill}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawPolygon(A,B,M)
@@ -349,7 +338,28 @@ Through the Lemoine point draw lines parallel to the triangle's sides. The point
\tkzMarkAngles[mark=|](B,M,F M,F,B)
\tkzMarkSegments(B,E B,M B,F)
\end{tikzpicture}
-\hspace*{\fill}
+\end{minipage}
+
+\begin{verbatim}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygon(A,B,M)
+ \tkzDrawCircle[purple](O,C)
+ \tkzDrawSegments[purple](M,E M,D E,F)
+ \tkzDrawSegments(D,B)
+ \tkzDrawPoints(A,B,M,C,D,E,F)
+ \tkzLabelPoints[below right](A,B,C,D,E)
+ \tkzLabelPoints[above](M,F)
+ \tkzFillAngles[opacity=.4,cyan!20](A,M,B B,E,M)
+ \tkzFillAngles[opacity=.4,purple!20](B,M,F M,F,B)
+ \tkzMarkRightAngle[opacity=.4,fill=gray!20](C,M,D)
+ \tkzMarkAngles[mark=||](A,M,E E,M,B B,E,M)
+ \tkzMarkAngles[mark=|](B,M,F M,F,B)
+ \tkzMarkSegments(B,E B,M B,F)
+\end{tikzpicture}
+\end{verbatim}
+
+
% subsection harmonic_division_and_bisector (end)
% subsection methods_of_the_class_triangle (end)
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes.tex
index e993ce9abe..5e4376b879 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes.tex
@@ -49,7 +49,6 @@ Example: The point object is used to vertically determine a new point object l
\end{tkzelements}
\end{verbatim}
-
\begin{tkzelements}
z.A = point (1,0)
z.B = z.A : north (2)
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-examples.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-examples.tex
index baaebd5d71..9e79877299 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-examples.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-examples.tex
@@ -321,10 +321,8 @@ scale=.75
\tkzMarkRightAngle[opacity=.4,fill=gray!20](C,M,D)
\end{tikzpicture}
\hspace*{\fill}
+% subsection apollonius_and_circle_circumscribed (end)
-
-%subsection apollonius_and_circle_circumscribed (end)
-%
\subsection{Apollonius circles in a triangle} % (fold)
\label{sub:apollonius_circles}
@@ -415,6 +413,26 @@ z.O3 = L.Bpt.mid
\tkzDrawLine(O1,O2)
\end{tikzpicture}
\hspace*{\fill}
+
+Same result using the function |T.ABC.ab : apollonius (k) |
+
+\begin{verbatim}
+ \begin{tkzelements}
+ scale = .75
+ z.A = point: new (0 , 0)
+ z.B = point: new (6 , 0)
+ z.C = point: new (4.5 , 1)
+ T.ABC = triangle : new (z.A,z.B,z.C)
+ z.O = T.ABC.circumcenter
+ C.AB = T.ABC.ab : apollonius (length(z.C,z.A)/length(z.C,z.B))
+ z.w1,z.t1 = get_points ( C.AB )
+ C.AC = T.ABC.ca : apollonius (length(z.B,z.C)/length(z.B,z.A))
+ z.w2,z.t2 = get_points ( C.AC )
+ C.AC = T.ABC.bc : apollonius (length(z.A,z.B)/length(z.A,z.C))
+ z.w3,z.t3 = get_points ( C.AC )
+ \end{tkzelements}
+\end{verbatim}
+
% subsection apollonius_circles (end)
\subsection{Archimedes} % (fold)
@@ -471,8 +489,9 @@ z.O3 = L.Bpt.mid
\tkzLabelPoints(A,O_1,O_2,E,F,C,D)
\end{tikzpicture}
\end{minipage}
-%\subsection{Bankoff circle} % (fold)
+% subsection archimedes (end)
+\subsection{Bankoff circle} % (fold)
\label{sub:bankoff_circle}
\begin{tkzexample}[small,code only]
\begin{tkzelements}
@@ -1722,32 +1741,33 @@ z.H = L.XY : projection (z.M)
\begin{tkzexample}[latex=0cm,small,code only]
\begin{tkzelements}
- z.O = point : new (-1,0)
- z.Op = point : new (4,-1)
- z.B = point : new (0,2)
- z.D = point : new (4,0)
- C.OB = circle : new (z.O,z.B)
- C.OpD = circle : new (z.Op,z.D)
- L.EF = C.OB : radical_axis (C.OpD)
- z.E,z.F = get_points (L.EF)
- z.M = L.EF : point (2)
- L.MT,L.MTp = C.OB : tangent_from (z.M)
- _,z.T = get_points (L.MT)
- _,z.Tp = get_points (L.MTp)
- L.MK,L.MKp = C.OpD : tangent_from (z.M)
- _,z.K = get_points (L.MK)
- _,z.Kp = get_points (L.MKp)
+scale = 1.25
+z.O = point : new (-1,0)
+z.Op = point : new (4,-1)
+z.B = point : new (0,2)
+z.D = point : new (4,0)
+C.OB = circle : new (z.O,z.B)
+C.OpD = circle : new (z.Op,z.D)
+L.EF = C.OB : radical_axis (C.OpD)
+z.E,z.F = get_points (L.EF)
+z.M = L.EF : point (.75)
+L.MT,L.MTp = C.OB : tangent_from (z.M)
+_,z.T = get_points (L.MT)
+_,z.Tp = get_points (L.MTp)
+L.MK,L.MKp = C.OpD : tangent_from (z.M)
+_,z.K = get_points (L.MK)
+_,z.Kp = get_points (L.MKp)
\end{tkzelements}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawCircles(O,B O',D)
- \tkzDrawLine[add=1 and 2](E,F)
+ \tkzDrawLine(E,F)
\tkzDrawLine[add=.5 and .5](O,O')
- \tkzDrawSegments(M,T M,T' M,K M,K')
+ \tkzDrawLines[add = 0 and .5](M,T M,T' M,K M,K')
\tkzDrawCircle(M,T)
\tkzDrawPoints(O,O',T,M,T',K,K')
\tkzLabelPoints(O,O',T,T',K,K',M)
- \end{tikzpicture}
+\end{tikzpicture}
\end{tkzexample}
\begin{tkzelements}
@@ -1760,7 +1780,7 @@ C.OB = circle : new (z.O,z.B)
C.OpD = circle : new (z.Op,z.D)
L.EF = C.OB : radical_axis (C.OpD)
z.E,z.F = get_points (L.EF)
-z.M = L.EF : point (2)
+z.M = L.EF : point (.75)
L.MT,L.MTp = C.OB : tangent_from (z.M)
_,z.T = get_points (L.MT)
_,z.Tp = get_points (L.MTp)
@@ -1768,43 +1788,43 @@ L.MK,L.MKp = C.OpD : tangent_from (z.M)
_,z.K = get_points (L.MK)
_,z.Kp = get_points (L.MKp)
\end{tkzelements}
-
\hspace*{\fill}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawCircles(O,B O',D)
-\tkzDrawLine[add=1 and 2](E,F)
+\tkzDrawLine(E,F)
\tkzDrawLine[add=.5 and .5](O,O')
-\tkzDrawSegments(M,T M,T' M,K M,K')
+\tkzDrawLines[add = 0 and .5](M,T M,T' M,K M,K')
\tkzDrawCircle(M,T)
\tkzDrawPoints(O,O',T,M,T',K,K')
\tkzLabelPoints(O,O',T,T',K,K',M)
-\end{tikzpicture}\hspace*{\fill}
+\end{tikzpicture}
+\hspace*{\fill}
% subsection radical_axis_v2 (end)
\subsection{Radical axis v3} % (fold)
\label{sub:radical_axis_v3}
\begin{tkzexample}[latex=0cm,small,code only]
-\begin{tkzelements}
- z.O = point : new (0,0)
- z.B = point : new (4,0)
- z.Op = point : new (6,0)
- C.OB = circle : new (z.O,z.B)
- C.OpB = circle : new (z.Op,z.B)
- L.EF = C.OB : radical_axis (C.OpB)
- z.E,z.F = get_points(L.EF)
- z.M = L.EF : point (2)
- _,L = C.OB : tangent_from (z.M)
- _,z.T = get_points (L)
- L,_ = C.OpB : tangent_from (z.M)
- _,z.Tp = get_points (L)
+ \begin{tkzelements}
+ z.O = point : new (0,0)
+ z.B = point : new (4,0)
+ z.Op = point : new (6,0)
+ C.OB = circle : new (z.O,z.B)
+ C.OpB = circle : new (z.Op,z.B)
+ L.EF = C.OB : radical_axis (C.OpB)
+ z.E,z.F = get_points(L.EF)
+ z.M = L.EF : point (0.2)
+ L = C.OB : tangent_from (z.M)
+ _,z.T = get_points (L)
+ L = C.OpB : tangent_from (z.M)
+ _,z.Tp = get_points (L)
\end{tkzelements}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawCircles(O,B O',B)
\tkzDrawSegments(M,T M,T')
- \tkzDrawLine[add=.5 and 1](E,F)
+ \tkzDrawSegments(E,F)
\tkzDrawLine[add=.5 and .5](O,O')
\tkzDrawPoints(O,B,O',E,F,M,T,T')
\tkzLabelPoints(O,O',B,E,F,T,T')
@@ -1813,27 +1833,25 @@ _,z.Kp = get_points (L.MKp)
\end{tkzexample}
\begin{tkzelements}
-z.O = point : new (0,0)
-z.B = point : new (4,0)
-z.Op = point : new (6,0)
-C.OB = circle : new (z.O,z.B)
-C.OpB = circle : new (z.Op,z.B)
-L.EF = C.OB : radical_axis (C.OpB)
-z.E,z.F = get_points(L.EF)
-z.M = L.EF : point (2)
-_,L = C.OB : tangent_from (z.M)
-_,z.T = get_points (L)
-L,_ = C.OpB : tangent_from (z.M)
-_,z.Tp = get_points (L)
+z.O = point : new (0,0)
+z.B = point : new (4,0)
+z.Op = point : new (6,0)
+C.OB = circle : new (z.O,z.B)
+C.OpB = circle : new (z.Op,z.B)
+L.EF = C.OB : radical_axis (C.OpB)
+z.E,z.F = get_points(L.EF)
+z.M = L.EF : point (0.2)
+L = C.OB : tangent_from (z.M)
+_,z.T = get_points (L)
+L = C.OpB : tangent_from (z.M)
+_,z.Tp = get_points (L)
\end{tkzelements}
-
-
\hspace*{\fill}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawCircles(O,B O',B)
\tkzDrawSegments(M,T M,T')
-\tkzDrawLine[add=.5 and 1](E,F)
+\tkzDrawSegments(E,F)
\tkzDrawLine[add=.5 and .5](O,O')
\tkzDrawPoints(O,B,O',E,F,M,T,T')
\tkzLabelPoints(O,O',B,E,F,T,T')
@@ -1853,21 +1871,22 @@ _,z.Tp = get_points (L)
C.OpB = circle : new (z.Op,z.B)
L.EF = C.OB : radical_axis (C.OpB)
z.E,z.F = get_points(L.EF)
- z.M = L.EF : point (1.5)
- L,_ = C.OB : tangent_from (z.M)
+ z.H = L.EF.mid
+ z.M = L.EF : point (.8)
+ _,L = C.OB : tangent_from (z.M)
_,z.T = get_points (L)
- L,_ = C.OpB : tangent_from (z.M)
+ _,L = C.OpB : tangent_from (z.M)
_,z.Tp = get_points (L)
\end{tkzelements}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawCircles(O,B O',B)
\tkzDrawSegments(M,T M,T')
- \tkzDrawLine[add=1 and 1](E,F)
- \tkzDrawLine[add=.3 and .3](O,O')
- \tkzDrawPoints(O,O',B,E,F,T,T',M)
- \tkzLabelPoints[below right](O,O',B,E,F,T,T')
- \tkzDrawArc(M,T)(B)
+ \tkzDrawSegments(E,F)
+ \tkzDrawLine[add=.3 and .3](O,H)
+ \tkzDrawPoints(O,O',B,E,H,M)
+ \tkzLabelPoints[below right](O,O',E,F,M,T,T')
+ \tkzDrawArc(M,B)(T)
\end{tikzpicture}
\end{tkzexample}
@@ -1880,23 +1899,23 @@ _,z.Tp = get_points (L)
C.OpB = circle : new (z.Op,z.B)
L.EF = C.OB : radical_axis (C.OpB)
z.E,z.F = get_points(L.EF)
- z.M = L.EF : point (1.5)
- L,_ = C.OB : tangent_from (z.M)
+ z.H = L.EF.mid
+ z.M = L.EF : point (.8)
+ _,L = C.OB : tangent_from (z.M)
_,z.T = get_points (L)
- L,_ = C.OpB : tangent_from (z.M)
+ _,L = C.OpB : tangent_from (z.M)
_,z.Tp = get_points (L)
\end{tkzelements}
-
\hspace*{\fill}
\begin{tikzpicture}
-\tkzGetNodes
-\tkzDrawCircles(O,B O',B)
-\tkzDrawSegments(M,T M,T')
-\tkzDrawLine[add=1 and 1](E,F)
-\tkzDrawLine[add=.3 and .3](O,O')
-\tkzDrawPoints(O,O',B,E,F,T,T',M)
-\tkzLabelPoints[below right](O,O',B,E,F,T,T')
-\tkzDrawArc(M,T)(B)
+ \tkzGetNodes
+ \tkzDrawCircles(O,B O',B)
+ \tkzDrawSegments(M,T M,T')
+ \tkzDrawSegments(E,F)
+ \tkzDrawLine[add=.3 and .3](O,H)
+ \tkzDrawPoints(O,O',B,E,H,M)
+ \tkzLabelPoints[below right](O,O',E,F,M,T,T')
+ \tkzDrawArc(M,B)(T)
\end{tikzpicture}
\hspace*{\fill}
% subsection radical_axis_v4 (end)
@@ -1980,7 +1999,7 @@ z.H = L.OOp : projection (z.X)
z.I_b,z.Xb = get_points (C.exb)
C.exc = T.ABC : ex_circle (2)
z.I_c,z.Xc = get_points (C.exc)
- C.ortho = radical_circle (C.exa,C.exb,C.exc)
+ C.ortho = C.exa : radical_circle (C.exb,C.exc)
z.w,z.a = get_points (C.ortho)
\end{tkzelements}
\begin{tikzpicture}
@@ -2006,7 +2025,7 @@ z.H = L.OOp : projection (z.X)
z.I_b,z.Xb = get_points (C.exb)
C.exc = T.ABC : ex_circle (2)
z.I_c,z.Xc = get_points (C.exc)
- C.ortho = radical_circle (C.exa,C.exb,C.exc)
+ C.ortho = C.exa : radical_circle (C.exb,C.exc)
z.w,z.a = get_points (C.ortho)
\end{tkzelements}
@@ -2590,7 +2609,7 @@ z.M = L.OOp.mid
C.OpD = circle : new (z.Op,z.D)
z.E,z.F = get_points (C.OB : radical_axis (C.OpD))
L.EF = line : new (z.E,z.F)
- z.M = L.EF : point (2.25)
+ z.M = L.EF : point (.25)
L.T,L.Tp = C.OB : tangent_from (z.M)
L.K,L.Kp = C.OpD : tangent_from (z.M)
z.T = L.T.pb
@@ -2601,7 +2620,7 @@ z.M = L.OOp.mid
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawCircles(O,B O',D)
- \tkzDrawLine[add=1 and 2,cyan](E,F)
+ \tkzDrawLine[cyan](E,F)
\tkzDrawLines[add=.5 and .5,orange](O,O' O,T O,T')
\tkzDrawSegments[cyan](M,T M,T' M,K M,K')
\tkzDrawCircle(M,T)
@@ -2620,7 +2639,7 @@ C.OB = circle : new (z.O,z.B)
C.OpD = circle : new (z.Op,z.D)
z.E,z.F = get_points (C.OB : radical_axis (C.OpD))
L.EF = line : new (z.E,z.F)
-z.M = L.EF : point (2.25)
+z.M = L.EF : point (.25)
L.T,L.Tp = C.OB : tangent_from (z.M)
L.K,L.Kp = C.OpD : tangent_from (z.M)
z.T = L.T.pb
@@ -2633,7 +2652,7 @@ z.Kp = L.Kp.pb
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawCircles(O,B O',D)
-\tkzDrawLine[add=1 and 2,cyan](E,F)
+\tkzDrawLine[cyan](E,F)
\tkzDrawLines[add=.5 and .5,orange](O,O' O,T O,T')
\tkzDrawSegments[cyan](M,T M,T' M,K M,K')
\tkzDrawCircle(M,T)
@@ -2877,9 +2896,9 @@ z.O = L.BA.mid
C.C0A = circle : new (z.C_0,z.A)
C.C1B = circle : new (z.C_1,z.B)
L.EF = C.C0A : radical_axis (C.C1B)
- z.M_0 = L.EF : point (2)
- z.M_1 = L.EF : point (-1)
- z.M_2 = L.EF : point (-2)
+ z.M_0 = L.EF : point (.4)
+ z.M_1 = L.EF : point (.1)
+ z.M_2 = L.EF : point (.6)
C.orth0 = C.C0A : orthogonal_from (z.M_0)
C.orth1 = C.C0A : orthogonal_from (z.M_1)
C.orth2 = C.C0A : orthogonal_from (z.M_2)
@@ -2907,9 +2926,9 @@ z.O = L.BA.mid
C.C0A = circle : new (z.C_0,z.A)
C.C1B = circle : new (z.C_1,z.B)
L.EF = C.C0A : radical_axis (C.C1B)
- z.M_0 = L.EF : point (2)
- z.M_1 = L.EF : point (-1)
- z.M_2 = L.EF : point (-2)
+ z.M_0 = L.EF : point (.4)
+ z.M_1 = L.EF : point (.1)
+ z.M_2 = L.EF : point (.6)
C.orth0 = C.C0A : orthogonal_from (z.M_0)
C.orth1 = C.C0A : orthogonal_from (z.M_1)
C.orth2 = C.C0A : orthogonal_from (z.M_2)
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-indepthstudy.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-indepthstudy.tex
index c8623799ee..935c4fdeea 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-indepthstudy.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-indepthstudy.tex
@@ -703,7 +703,8 @@ You obtain a point on the object by entering a real number between 0 and 1.
\label{sub:behind_the_objects}
Before introducing objects, I only used functions whose parameters were points (comlexes).
-For example, |z.m = midpoint_ (z.a,z.b)| defines the midpoint of points $a$ and $b$. Avec les objets, il faut d'abord définir la droite/sgment |L.ab| puis on obtient le milieu avec |z.m = L.ab.mid|.
+
+For example, |z.m = midpoint_ (z.a,z.b)| defines the midpoint of points $a$ and $b$. With objects, first define the line/sgment |L.ab| and then obtain the middle with |z.m = L.ab.mid|.
I've kept the functions (which I'll call "primary") whose only arguments are points. They are distinguished from the others by a terminal underscore. In fact, all (almost) object-related functions depend on a primary function.
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-inversion.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-inversion.tex
new file mode 100644
index 0000000000..bb067244d4
--- /dev/null
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-inversion.tex
@@ -0,0 +1,4 @@
+\section{Inversion} % (fold)
+\label{sec:inversion}
+midcircless
+% section inversion (end) \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-main.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-main.tex
index c4db9a8816..862be86799 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-main.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-main.tex
@@ -1,6 +1,6 @@
% !TEX TS-program = lualatex
% encoding : utf8
-% Documentation of tkz-elements v1.40c
+% Documentation of tkz-elements v1.82c
% Copyright 2023 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
@@ -21,10 +21,10 @@
headings = small
]{tkz-doc}
\gdef\tkznameofpack{tkz-elements}
-\gdef\tkzversionofpack{1.72c}
+\gdef\tkzversionofpack{1.82c}
\gdef\tkzdateofpack{\today}
\gdef\tkznameofdoc{tkz-elements.pdf}
-\gdef\tkzversionofdoc{1.72c}
+\gdef\tkzversionofdoc{1.82c}
\gdef\tkzdateofdoc{\today}
\gdef\tkzauthorofpack{Alain Matthes}
\gdef\tkzadressofauthor{}
@@ -97,7 +97,7 @@
\usepackage[english]{babel}
\usepackage[normalem]{ulem}
\usepackage{multirow,multido,booktabs,cellspace}
-\usepackage{shortvrb,bookmark,caption,enumitem}
+\usepackage{shortvrb,bookmark,enumitem}
\usepackage{makeidx}
\usepackage[most]{tcolorbox}
@@ -145,16 +145,15 @@ sharp corners
\newcommand*{\tkzEHand}{\textcolor{red}{\lefthand}}
%<--------------------------------------------------------------------------->
% settings styles
-\tkzSetUpColors[background=white,text=black]
-\tkzSetUpCompass[color=orange, line width=.2pt,delta=10]
-\tkzSetUpArc[color=gray,line width=.2pt]
-\tkzSetUpPoint[size=2,color=teal]
-\tkzSetUpLine[line width=.2pt,color=teal]
-\tkzSetUpStyle[color=orange,line width=.2pt]{new}
-\tikzset{every picture/.style={line width=.2pt}}
-\tikzset{label angle style/.append style={color=teal,font=\footnotesize}}
-\tikzset{label style/.append style={below,color=teal,font=\scriptsize}}
-\tikzset{new/.style={color=orange,line width=.2pt}}
+
+\tkzSetUpColors[background=white,text=darkgray]
+\tkzSetUpPoint[size=2,color=teal,fill=teal!10]
+\tkzSetUpLine[ultra thin,color=teal]
+\tkzSetUpCompass[color=orange,ultra thin,/tkzcompass/delta=10]
+\tikzset{label style/.append style={below right,color=teal,font=\scriptsize}}
+\tikzset{new/.style={color=orange,ultra thin}}
+\tikzset{step 1/.style={color=cyan,ultra thin}}
+\tikzset{step 2/.style={color=purple,ultra thin}}
\def\tkzar{\hspace{1em}-->\hspace{1em}}
\makeatletter\let\percentchar\@percentchar\makeatother
@@ -167,8 +166,11 @@ sharp corners
\let\pmpn\pgfmathprintnumber
\AtBeginDocument{\MakeShortVerb{\|}} % link to shortvrb
+
+
+
\begin{document}
-% \LuaCodeDebugOn
+\LuaCodeDebugOn
\parindent=0pt
\tkzTitleFrame{tkz-elements \tkzversionofpack\\Euclidean Geometry}
@@ -210,6 +212,7 @@ Project Public License Distributed from \href{http://www.ctan.org/}{CTAN}\ arch
\input{TKZdoc-elements-why.tex}
\input{TKZdoc-elements-presentation.tex}
\input{TKZdoc-elements-convention.tex}
+\input{TKZdoc-elements-organization.tex}
\input{TKZdoc-elements-transferts.tex}
\input{TKZdoc-elements-classes.tex}
\input{TKZdoc-elements-classes-point.tex}
@@ -229,4 +232,337 @@ Project Public License Distributed from \href{http://www.ctan.org/}{CTAN}\ arch
\clearpage\newpage
\small\printindex
+
+\newpage
+\section{Cheat\_sheet} % (fold)
+\label{sec:cheat_sheet}
+
+% section cheat_sheet (end)
+|r| denotes a real number, |d| a positive real number, |n|an integer, |an| an angle, |b| a boolean, |s| a character string, |pt| a point, |v| variable, |L| a straight line, |C| a circle, |T| a triangle, |E| an ellipse, |Q| a quadrilateral, |P| a parallelogram, |R| a rectangle, |S| a square, |RP| a regular polygon, |O| an object (pt, L,C,T), . . a list of points or an object, < > optional argument.
+
+\begin{multicols}{3}
+
+\fbox{\textbf{Point}}\\
+\textbf{Attributes} table(\ref{point:att}) \\
+|re -> r| \\
+|im -> r| \\
+|type -> s| \\
+|argument -> r| \\
+|modulus -> d| \\
+\textbf{Methods} table(\ref{point:met}) \\
+|+ - * / -> pt| \\
+|.. -> r| \\
+|^ -> r| \\
+|conj -> pt| \\
+|abs -> | \\
+|mod -> | \\
+|norm -> | \\
+|arg -> r| \\
+|get -> r,r| \\
+|sqrt -> pt| \\
+|new -> pt| \\
+|polar -> pt| \\
+|polar_deg -> pt| \\
+|north(d) -> pt| \\
+|south(d) -> pt| \\
+|east(d) -> pt| \\
+|west(d) -> pt| \\
+|normalize(pt) -> pt| \\
+|symmetry (...) -> O| \\
+|rotation (an , ...) -> O| \\
+|homothety (r , ...) -> O| \\
+ \\
+\fbox{\textbf{line}} \\
+\textbf{Attributes} table(\ref{line:att}) \\
+|pa,pb -> pt| \\
+|type -> s| \\
+|mid -> pt| \\
+|north_pa -> pt| \\
+|north_pb -> pt| \\
+|south_pa -> pt| \\
+|south_pb -> pt| \\
+|east -> pt| \\
+|west -> pt| \\
+|slope -> r| \\
+|length -> d| \\
+\textbf{Methods} table(\ref{line:met}) \\
+|new (pt,pt) -> d| \\
+|distance (pt) -> d| \\
+|slope () -> r| \\
+|in_out (pt) -> b| \\
+|in_out_segment (pt) -> b| \\
+|barycenter (r,r) -> pt| \\
+|point (t) -> pt| \\
+|midpoint () -> pt| \\
+|harmonic_int (pt) -> pt| \\
+|harmonic_ext (pt) -> pt| \\
+|harmonic_both (d) -> pt| \\
+|gold_ratio() -> pt| \\
+|normalize () -> pt| \\
+|normalize_inv () -> pt| \\
+|_north_pa (d) -> pt| \\
+|_north_pb (d) -> pt| \\
+|_south_pa (d) -> pt| \\
+|_south_pb (d) -> pt| \\
+|_east (d) -> pt| \\
+|_west (d) -> pt| \\
+|translation (...) -> O| \\
+|projection (...) -> O| \\
+|reflection (...) -> O| \\
+|ll_from ( pt ) -> L| \\
+|ortho_from ( pt ) -> L| \\
+|mediator () -> L| \\
+|circle () -> C| \\
+|circle_swap () -> C| \\
+|diameter () -> C| \\
+|apollonius (r) -> C| \\
+|equilateral (<swap>) -> T| \\
+|isosceles (an,<swap>) -> T| \\
+|school () -> T| \\
+|two_angles (an,an) -> T| \\
+|half () -> T| \\
+|sss (r,r,r) -> T| \\
+|sas (r,an) -> T| \\
+|ssa (r,an) -> T| \\
+|gold (<swap>) -> T| \\
+|euclide (<swap>) -> T| \\
+|golden (<swap>) -> T| \\
+|devine () -> T| \\
+|cheops () -> T| \\
+|pythagoras () -> T| \\
+|sublime () -> T| \\
+|egyptian () -> T| \\
+|square (<swap>) -> T| \\
+|report (r,pt) -> T| \\
+ \\
+\fbox{\textbf{triangle}} \\
+\textbf{Attributes} table(\ref{triangle:att}) \\
+|pa,pb,pc -> pt| \\
+|circumcenter -> pt| \\
+|centroid -> pt| \\
+|incenter -> pt| \\
+|eulercenter -> pt| \\
+|orthocenter -> pt| \\
+|spiekercenter -> pt| \\
+|type -> s| \\
+|a -> d| \\
+|b -> d| \\
+|c -> d| \\
+|ab -> L| \\
+|bc -> L| \\
+|ca -> L| \\
+|alpha -> r| \\
+|beta -> r| \\
+|gamma -> r| \\
+\textbf{Methods} table(\ref{triangle:met}) \\
+|new (pt,pt,pt) -> pt| \\
+|trilinear (r,r,r) -> pt| \\
+|barycentric (r,r,r) -> pt| \\
+|bevan_point () -> pt| \\
+|mittenpunkt_point () -> pt| \\
+|gergonne_point () -> pt| \\
+|nagel_point () -> pt| \\
+|feuerbach_point () -> pt| \\
+|lemoine_point() -> pt| \\
+|symmedian_point() -> pt| \\
+|spieker_center() -> pt| \\
+|barycenter (r,r,r) -> pt| \\
+|base (u,v) -> pt| \\
+|euler_points () -> pt| \\
+|nine_points () -> pt| \\
+|point (t) -> pt| \\
+|soddy_center () -> pt| \\
+|euler_line () -> L| \\
+|symmedian_line (n) -> L| \\
+|altitude (n) -> L| \\
+|bisector (n) -> L| \\
+|bisector_ext(n) -> L| \\
+|antiparallel(pt,n) -> L| \\
+|euler_circle () -> C| \\
+|circum_circle() -> C| \\
+|in_circle () -> C| \\
+|ex_circle (n) -> C| \\
+|first_lemoine_circle() -> C| \\
+|second_lemoine_circle() -> C| \\
+|spieker_circle() -> C| \\
+|soddy_circle () -> C| \\
+|orthic() -> T| \\
+|medial() -> T| \\
+|incentral() -> T| \\
+|excentral() -> T| \\
+|intouch() -> T| \\
+|contact() -> T| \\
+|extouch() -> T| \\
+|feuerbach() -> T| \\
+|anti () -> T| \\
+|tangential () -> T| \\
+|cevian (pt) -> T| \\
+|symmedian () -> T| \\
+|euler () -> T| \\
+|projection (pt) -> pt,pt,pt| \\
+|parallelogram () -> pt| \\
+|area () -> d| \\
+|barycentric_coordinates(pt)| \\
+ |-> r,r,r| \\
+|in_out (pt) -> pt| \\
+|check_equilateral () -> b| \\
+\fbox{\textbf{circle}} \\
+\textbf{Attributes} table(\ref{circle:att}) \\
+|center -> pt| \\
+|through -> pt| \\
+|north -> pt| \\
+|south -> pt| \\
+|east -> pt| \\
+|west -> pt| \\
+|opp -> pt| \\
+|type -> s| \\
+|radius -> d| \\
+|ct -> L| \\
+\textbf{Methods} table(\ref{circle:met}) \\
+|new (pt,pt) -> C| \\
+|radius (pt, r) -> C| \\
+|diameter (pt,pt) -> C| \\
+|in_out (pt) -> b| \\
+|in_out_disk (pt) -> b| \\
+|circles_position (C) -> s| \\
+|power (pt) -> r| \\
+|antipode (pt) -> pt| \\
+|midarc (pt,pt) -> pt| \\
+|point (r) -> pt| \\
+|random_pt (lower, upper) -> pt| \\
+|internal_similitude (C) -> pt| \\
+|external_similitude (C) -> pt| \\
+|radical_center(C,<C>) -> pt| \\
+|tangent_at (pt) -> L| \\
+|radical_axis (C) -> L| \\
+|radical_circle(C,<C>) -> C| \\
+|orthogonal_from (pt) -> C| \\
+|orthogonal_through(pt,pt) -> C| \\
+|midcircle(C) -> C| \\
+|external_tangent(C) -> L,L| \\
+|internal_tangent(C) -> L,L| \\
+|common_tangent(C) -> L,L| \\
+|tangent_from (pt) -> L,L| \\
+|inversion (...) -> O | \\
+ \\
+\fbox{\textbf{ellipse}} \\
+\textbf{Attributes} table(\ref{ellipse:met}) \\
+|center -> pt| \\
+|vertex -> pt| \\
+|covertex -> pt| \\
+|Fa -> pt| \\
+|Fb -> pt| \\
+|north -> pt| \\
+|south -> pt| \\
+|east -> pt| \\
+|west -> pt| \\
+|Rx -> d| \\
+|Ry -> d| \\
+|slope -> r| \\
+|type -> s| \\
+\textbf{Methods} table(\ref{ellipse:met}) \\
+|new (pt,pt,pt) -> E| \\
+|foci (pt,pt,pt) -> E| \\
+|radii (pt,r,r,an) -> E| \\
+|in_out (pt) -> b| \\
+|tangent_at (pt) -> L| \\
+|tangent_from (pt) -> L| \\
+|point (r) -> pt| \\
+ \\
+\fbox{\textbf{square}} \\
+ \textbf{Attributes} table(\ref{square:att}) \\
+|pa,pb,pc,pd -> pt| \\
+|type -> s| \\
+|side -> d| \\
+|center -> pt| \\
+|exradius -> d| \\
+|inradius -> d| \\
+|diagonal -> d| \\
+|proj -> pt| \\
+|ab bc cd da -> L| \\
+|ac bd -> L| \\
+ \textbf{Methods} table(\ref{square:met}) \\
+|new (pt,pt,pt,pt) -> S| \\
+|rotation (pt,pt) -> S| \\
+|side (pt,pt,<swap>) -> S| \\
+ \\
+\fbox{\textbf{rectangle}} \\
+\textbf{Attributes} table(\ref{rectangle:att}) \\
+|pa,pb,pc,pd -> pt| \\
+|type -> s| \\
+|center -> pt| \\
+|exradius -> d| \\
+|length -> r| \\
+|width -> r| \\
+|diagonal -> d| \\
+|ab bc cd da -> L| \\
+|ac bd -> L| \\
+ \textbf{Methods} table(\ref{rectangle:met}) \\
+|new (pt,pt,pt,pt) -> R| \\
+|angle (pt,pt,an) -> R| \\
+|gold (pt,pt,<swap>) -> R| \\
+|diagonal (pt,pt,<swap>) -> R| \\
+|side (pt,pt,r,<swap>) -> R| \\
+|get_lengths () ->r,r| \\
+ \\
+\fbox{\textbf{quadrilateral} } \\
+ \textbf{Attributes} table(\ref{quadrilateral:att}) \\
+|pa,pb,pc,pd -> pt| \\
+|ab bc cd da -> L | \\
+|ac bd -> L | \\
+|type -> s | \\
+|i -> pt| \\
+|g -> pt| \\
+|a b c d -> r| \\
+ \textbf{Methods} table(\ref{quadrilateral:met}) \\
+|new (pt,pt,pt,pt) -> Q| \\
+|iscyclic () -> b| \\
+ \\
+\fbox{\textbf{parallelogram}} \\
+ \textbf{Attributes} table(\ref{parallelogram:att}) \\
+|pa,pb,pc,pd -> pt| \\
+|ab bc cd da -> L | \\
+|ac bd -> L | \\
+|type -> s | \\
+|center -> pt| \\
+ \textbf{Methods} table(\ref{parallelogram:met}) \\
+|new (pt,pt,pt,pt) ->| \\
+|fourth (pt,pt,pt) ->| \\
+ \\
+\fbox{\textbf{Regular\_polygon}} \\
+ \textbf{Attributes} table(\ref{regular:att}) \\
+|center -> pt| \\
+|through -> pt | \\
+|circle -> C | \\
+|type -> s | \\
+|side -> d| \\
+|exradius -> d| \\
+|inradius -> d| \\
+|proj -> pt| \\
+|nb -> i| \\
+|angle -> an| \\
+ \textbf{Methods} table(\ref{regular:met})\\
+|new (pt,pt,n) -> PR| \\
+|incircle () -> C| \\
+|name (s) -> ?| \\
+ \\
+\fbox{\textbf{Misc.}} \\
+ \textbf{Attributes} table(\ref{misc}) \\
+|tkzphi -> r| \\
+|tkzinvphi -> r | \\
+|tkzsqrtphi -> r | \\
+|length -> d | \\
+|islinear(pt,pt,pt) -> b | \\
+|isortho(pt,pt,pt) -> b | \\
+|\tkzUseLua{v} -> ?| \\
+|value{r} -> r| \\
+|real -> r| \\
+|angle_normalize (an) -> an| \\
+|barycenter (...) -> pt| \\
+|bisector (pt,pt,pt) -> L| \\
+|bisector_ext (pt,pt,pt) -> L| \\
+|altitude (pt,pt,pt) -> L| \\
+|midpoint (pt,pt) -> pt| \\
+|equilateral (pt,pt) -> T| \\
+\end{multicols}
\end{document} \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-organization.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-organization.tex
new file mode 100644
index 0000000000..f69e0a591d
--- /dev/null
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-organization.tex
@@ -0,0 +1,100 @@
+\section{Work organization} % (fold)
+\label{sec:work_organization}
+
+Here's a sample organization.
+
+The line |% !TEX TS-program = lualatex| ensures that you don't forget to compile with Lua\LATEX{}. The "standalone" class is useful, as all you need to do here is create a figure.
+
+The "mini" option in \pkg{tkz-euclide} allows you to load and use only plot-related macros.
+
+The package \pkg{ifthen} is useful if you need to use some Boolean.
+
+The macro \tkzcname{LuaCodeDebugOn} allows you to try and find errors in Lua code.
+
+It is of course possible to leave the Lua code in the \tkzNameEnv{tkzelements} environment, but externalizing this code has its advantages.
+
+The first advantage, if you use a good editor, is to have a good presentation of the code. Styles are different between "Lua" and \LATEX{}. This makes the code clearer. This is how I proceeded, then reintegrated the code into the main code.
+
+Another advantage is that you don't have to comment the code incorrectly. For Lua code, you comment lines with |--| (double minus sign), whereas for \LATEX{}, you comment with |%|.
+
+Third advantage: the code can be reused.
+
+
+
+\begin{verbatim}
+% !TEX TS-program = lualatex
+% Created by Alain Matthes on 2024-01-09.
+
+\documentclass[margin = 12pt]{standalone}
+\usepackage[mini]{tkz-euclide}
+\usepackage{tkz-elements,ifthen}
+
+\begin{document}
+\LuaCodeDebugOn
+\begin{tkzelements}
+ scale = 1.25
+ dofile ("sangaku.lua")
+\end{tkzelements}
+
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawCircle(I,F)
+ \tkzFillPolygon[color = purple](A,C,D)%
+ \tkzFillPolygon[color = blue!50!black](A,B,C)%
+ \tkzFillCircle[color = orange](I,F)%
+\end{tikzpicture}
+\end{document}
+\end{verbatim}
+
+And here is the code for the "Lua" part: the file |ex_sangaku.lua|
+
+\begin{verbatim}
+z.A = point : new ( 0,0 )
+z.B = point : new ( 8,0 )
+L.AB = line : new ( z.A , z.B )
+S = L.AB : square ()
+_,_,z.C,z.D = get_points (S)
+z.F = S.ac : projection (z.B)
+L.BF = line : new (z.B,z.F)
+T.ABC = triangle : new ( z.A , z.B , z.C )
+L.bi = T.ABC : bisector (2)
+z.c = L.bi.pb
+L.Cc = line : new (z.C,z.c)
+z.I = intersection (L.Cc,L.BF)
+\end{verbatim}
+
+\begin{tkzelements}
+ scale = 1.25
+ dofile ("sangaku.lua")
+\end{tkzelements}
+
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawCircle(I,F)
+ \tkzFillPolygon[color = purple](A,C,D)%
+ \tkzFillPolygon[color = blue!50!black](A,B,C)%
+ \tkzFillCircle[color = orange](I,F)%
+\end{tikzpicture}
+
+\subsection{Scale problem} % (fold)
+\label{sub:scale_problem}
+
+If necessary, it's better to do the scaling in the "Lua" section. The reason is that it will be more accurate. There is, however, a problem to be aware of. I've made it a point of honor to avoid using numerical values in my codes whenever possible. In principle, these values only appear in the definition of fixed points. If the "scale" option is used, scaling is applied when points are created. Let's imagine you want to organize your code as follows:
+
+|scale = 1.5|\\
+|xB = 8|\\
+|z.B = point : new ( xB,0 )|
+
+Scaling would then be ineffective, as the numerical values are not modified, only the point coordinates. To take scaling into account, use the function \Igfct{math}{value (v) }.
+
+|scale = 1.5|\\
+|xB = value (8)|\\
+|z.B = point : new ( xB,0 )|
+
+\subsection{Code presentation} % (fold)
+\label{sub:code_presentation}
+
+The key point is that, unlike \LATEX{} or \TEX{}, you can insert spaces absolutely anywhere.
+% subsection code_presentation (end)
+% subsection scale_problem (end)
+% section work_organization (end) \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-tests.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-tests.tex
new file mode 100644
index 0000000000..d43cce663b
--- /dev/null
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-tests.tex
@@ -0,0 +1,4 @@
+\section{tests} % (fold)
+\label{sec:tests}
+
+% section tests (end) \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-transferts.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-transferts.tex
index c255a1804d..39d5940e72 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-transferts.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-transferts.tex
@@ -23,49 +23,58 @@ Currently the drawing program is either \TIKZ\ or \pkg{tkz-euclide}. You have th
n = string.len(K)
if n >1 then
_,_,ft, sd = string.find( K , "(.+)(.)" )
- if sd == "p" then K=ft.."'" end
+ if sd == "p" then K=ft.."'" end
+ _,_,xft, xsd = string.find( ft , "(.+)(.)" )
+ if xsd == "p" then K=xft.."'".."'" end
end
tex.print("\\coordinate ("..K..") at ("..V.re..","..V.im..") ;\\\\")
end}
-}\end{verbatim}
+}
+\end{verbatim}
\end{mybox}
See the section In-depth Study \ref{sec:in_depth_study} for an explanation of the previous code.
-The environment \tkzNameEnv{tkzelements} allows to use the underscore |_| and the macro \tkzcname{tkzGetNodes} allows to obtain names of nodes containing \tkzname{prime}. (see the next example)
+The environment \tkzNameEnv{tkzelements} allows to use the underscore |_| and the macro \tkzcname{tkzGetNodes} allows to obtain names of nodes containing \tkzname{prime} or \tkzname{double prime}. (see the next example)
\begin{minipage}{0.5\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{verbatim}
\begin{tkzelements}
scale = 1.2
z.o = point: new (0,0)
z.a_1 = point: new (2,1)
z.a_2 = point: new (1,2)
z.ap = z.a_1 + z.a_2
+ z.app = z.a_1 - z.a_2
\end{tkzelements}
\begin{tikzpicture}
\tkzGetNodes
- \tkzDrawSegments(o,a_1 o,a_2 o,a')
+ \tkzDrawSegments(o,a_1 o,a_2 o,a' o,a'')
\tkzDrawSegments[red](a_1,a' a_2,a')
- \tkzDrawPoints(a_1,a_2,a',o)
- \tkzLabelPoints(o,a_1,a_2,a')
+ \tkzDrawSegments[blue](a_1,a'' a_2,a'')
+ \tkzDrawPoints(a_1,a_2,a',o,a'')
+ \tkzLabelPoints(o,a_1,a_2,a',a'')
\end{tikzpicture}
-\end{tkzexample}%
-\end{minipage}%
+\end{verbatim}
+\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{tkzelements}
-scale = 1.2
-z.o = point: new (0,0)
-z.a_1 = point: new (2,1)
-z.a_2 = point: new (1,2)
-z.ap = z.a_1 + z.a_2
+ scale = 1.2
+ z.o = point: new (0,0)
+ z.a_1 = point: new (2,1)
+ z.a_2 = point: new (1,2)
+ z.ap = z.a_1 + z.a_2
+ z.app = z.a_1 - z.a_2
\end{tkzelements}
+\hspace{\fill}
\begin{tikzpicture}
-\tkzGetNodes
- \tkzDrawSegments(o,a_1 o,a_2 o,a')
- \tkzDrawSegments[red](a_1,a' a_2,a')
- \tkzDrawPoints(a_1,a_2,a',o)
- \tkzLabelPoints(o,a_1,a_2,a')
+ \tkzGetNodes
+ \tkzDrawSegments(o,a_1 o,a_2 o,a' o,a'')
+ \tkzDrawSegments[red](a_1,a' a_2,a')
+ \tkzDrawSegments[blue](a_1,a'' a_2,a'')
+ \tkzDrawPoints(a_1,a_2,a',o,a'')
+ \tkzLabelPoints(o,a_1,a_2,a',a'')
\end{tikzpicture}
+\hspace{\fill}
\end{minipage}%
\newpage
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-why.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-why.tex
index afc64f416d..aa3c23d7d8 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-why.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-why.tex
@@ -69,7 +69,7 @@ The goal is to determine an inner tangent circle to the three exinscribed circle
See \href{https://mathworld.wolfram.com/ApolloniusCircle.html}{MathWorld} for more details.
-This example was my reference for testing the tkz-euclide package. With my first methods and the tools at my disposition, the results lacked precision. Now, with tkz-elements, I can use tools that are more powerful, more precise and easier to create.
+This example was my reference for testing the \pkg{tkz-euclide} package. With my first methods and the tools at my disposition, the results lacked precision. Now, with tkz-elements, I can use tools that are more powerful, more precise and easier to create.
The essential principles of figure construction with \tkzname{tkz-euclide} are kept: definitions, calculations, tracings, labels as well as the step-by-step programmation, corresponding to a construction with a ruler and a compass.
@@ -136,7 +136,7 @@ Finally, the inversion of the Euler circle with respect to the radical circle is
Now that all the points have been defined, it's time to start drawing the paths. To do this, you need to create the nodes. This is the role of the macro \Imacro{tkzGetNodes}. See \ref{ssub:points_transfer}
-The following section concerns only drawings, and is handled by tkz-euclide.
+The following section concerns only drawings, and is handled by \pkg{tkz-euclide}.
\begin{verbatim}
\begin{tikzpicture}
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/gold_preamble.lua b/macros/latex/contrib/tkz/tkz-elements/doc/latex/gold_preamble.lua
new file mode 100644
index 0000000000..9067371eb0
--- /dev/null
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/gold_preamble.lua
@@ -0,0 +1,46 @@
+z.A = point: new (0 , 0)
+z.B = point: new (10 , 0)
+L.AB = line: new ( z.A, z.B)
+z.C = L.AB : gold_ratio ()
+L.AC = line: new ( z.A, z.C)
+L.CB = line: new ( z.C, z.B)
+z.O_0 = L.AB.mid
+z.O_1 = L.AC.mid
+z.O_2 = L.CB.mid
+C.O0B = circle: new ( z.O_0, z.B)
+C.O1C = circle: new ( z.O_1, z.C)
+C.O2B = circle: new ( z.O_2, z.B)
+z.M_0 = C.O1C : external_similitude (C.O2B)
+z.M_1 = C.O0B : internal_similitude (C.O1C)
+z.M_2 = C.O0B : internal_similitude (C.O2B)
+z.Q = C.O2B.north
+z.P = C.O1C.north
+z.O = C.O0B.south
+z.W = C.O0B.north
+L.O1Q = line : new (z.O_1,z.Q)
+L.O2P = line : new (z.O_2,z.P)
+z.O_4 = intersection (L.O1Q,L.O2P)
+L.CO4 = line : new (z.C,z.O_4)
+z.D = intersection (L.CO4,C.O0B)
+L.CD = line : new (z.C,z.D)
+L.PQ = line : new (z.P,z.Q)
+L.CQ = line : new (z.C,z.Q)
+z.O_5 = intersection (L.CD,L.PQ)
+C.QC = circle: new ( z.Q, z.C)
+C.PA = circle: new ( z.P, z.A)
+z.P_0 = intersection (C.QC,C.O0B)
+z.P_1 = intersection (C.QC,C.O1C)
+_,z.P_2 = intersection (C.PA,C.O2B)
+T.P = triangle: new ( z.P_0, z.P_1, z.P_2)
+z.O_3 = T.P.circumcenter
+L.AQ = line : new (z.A,z.Q)
+L.BP = line : new (z.B,z.P)
+z.T = intersection(L.BP,L.AQ)
+z.O_6 = L.CD.mid
+C.DC = circle : new (z.D,z.C)
+z.U,z.V = intersection (C.DC,C.O0B)
+L.UV = line : new (z.U,z.V)
+z.R,z.S = L.UV : projection (z.O_1,z.O_2)
+
+
+
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/sangaku.lua b/macros/latex/contrib/tkz/tkz-elements/doc/latex/sangaku.lua
new file mode 100644
index 0000000000..777528540f
--- /dev/null
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/sangaku.lua
@@ -0,0 +1,14 @@
+xB = value(8)
+z.A = point : new ( 0,0 )
+z.B = point : new (
+xB,0 )
+L.AB = line : new ( z.A , z.B )
+S = L.AB : square ()
+_,_,z.C,z.D = get_points (S)
+z.F = S.ac : projection (z.B)
+L.BF = line : new (z.B,z.F)
+T.ABC = triangle : new ( z.A , z.B , z.C )
+L.bi = T.ABC : bisector (2)
+z.c = L.bi.pb
+L.Cc = line : new (z.C,z.c)
+z.I = intersection (L.Cc,L.BF) \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/tkz-elements.pdf b/macros/latex/contrib/tkz/tkz-elements/doc/tkz-elements.pdf
index 3dcaf903a2..d5b920c981 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/tkz-elements.pdf
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/tkz-elements.pdf
Binary files differ
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz-elements.sty b/macros/latex/contrib/tkz/tkz-elements/latex/tkz-elements.sty
index 903691bcc3..2b388229e4 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz-elements.sty
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz-elements.sty
@@ -1,6 +1,6 @@
% encoding : utf8
-% tkz-elements.sty v1.72c
-% Copyright 2023 Alain Matthes
+% tkz-elements.sty v1.82c
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -11,7 +11,7 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\ProvidesPackage{tkz-elements}[23/12/24 v1.72c Graphic Object Library]
+\ProvidesPackage{tkz-elements}[2024/01/16 v1.82c Graphic Object Library]
\RequirePackage{luacode}
\directlua{require "tkz_elements_main"}
@@ -36,7 +36,9 @@
n = string.len(K)
if n >1 then
_,_,ft, sd = string.find( K , "(.+)(.)" )
- if sd == "p" then K=ft.."'" end
+ if sd == "p" then K=ft.."'" end
+ _,_,xft, xsd = string.find( ft , "(.+)(.)" )
+ if xsd == "p" then K=xft.."'".."'" end
end
tex.print("\\coordinate ("..K..") at ("..V.re..","..V.im..") ;\\\\")
end}
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_circle.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_circle.lua
index e81609f6ee..ae257221f4 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_circle.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_circle.lua
@@ -1,7 +1,7 @@
-- tkz_elements-circles.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
@@ -17,9 +17,8 @@
circle = {}
function circle: new (c, t) -- c --> center t --> through
local type = 'circle'
- local ra = line :new (c,t)
- local anti = antipode_ (c,t)
- local di = line : new (anti, t)
+ local ct = line :new (c,t)
+ local opp = antipode_ (c,t)
local radius = point.abs ( c - t )
local south = c - point (0,radius)
local east = c + point (radius,0)
@@ -27,8 +26,8 @@ function circle: new (c, t) -- c --> center t --> through
local west = c - point (radius,0)
local o = { center = c,
through = t,
- ra = ra,
- di = di,
+ ct = ct,
+ opp = opp,
radius = radius,
south = south,
east = east,
@@ -75,18 +74,11 @@ function circle: in_out_disk (pt)
end
end
-function circles_position (C1,C2)
- local d,max,min
- d = point.mod(C1.center-C2.center)
- max = C1.radius + C2.radius
- min = math.abs ( C1.radius - C2.radius)
- if d > max then return "outside"
- elseif d == max then return "outside tangent" -- epsilon
- elseif d == min then return "inside tangent" -- epsilon
- elseif d < min then return "inside"
- else return "intersect"
- end
+-- new version 1.80 added
+function circle : circles_position (C)
+ return circles_position_ (self.center,self.radius,C.center,C.radius)
end
+
-----------------------
-- real --
-----------------------
@@ -122,7 +114,7 @@ function circle: point (t)
return rotation_ (self.center,phi,self.through)
end
-function circle: random_pt(lower, upper)
+function circle: random_pt (lower, upper)
local t
math.randomseed( tonumber(tostring(os.time()):reverse():sub(1,6)) )
phi = lower + math.random() * (upper - lower)
@@ -136,6 +128,21 @@ end
function circle: external_similitude (C)
return external_similitude_ (self.center,self.radius,C.center,C.radius)
end
+
+function circle : common_tangent(C)
+ local o,s1,s2,t1,t2
+ o = external_similitude_ (self.center,self.radius,C.center,C.radius)
+
+ if self.radius < C.radius then
+ t1,t2 = tangent_from_ (C.center,C.through,o)
+ s1,s2 = tangent_from_ (self.center,self.through,o)
+ return s1,t1,t2,s2
+ else
+ s1,s2 = tangent_from_ (C.center,C.through,o)
+ t1,t2 = tangent_from_ (self.center,self.through,o)
+ return s1,t1,t2,s2
+ end
+end
-----------------------
-- lines --
-----------------------
@@ -148,12 +155,41 @@ function circle: tangent_from (pt)
t1,t2 = tangent_from_ (self.center,self.through,pt)
return line :new (pt,t1),line : new (pt,t2)
end
-
+ -- version 1.80
function circle: radical_axis (C)
local t1,t2
+ if self.radius > C.radius then
t1,t2 = radical_axis_ (self.center,self.through,C.center,C.through)
- return line : new (t1,t2)
+ else
+ t1,t2 = radical_axis_ (C.center,C.through,self.center,self.through)
end
+ return line :new (t1,t2)
+ end
+
+ -- version 1.80
+function circle: radical_center (C1,C2)
+if C2 == nil then
+ if self.radius > C1.radius then
+ return radical_center_ (self.center,self.through,C1.center,C1.through)
+ else
+ return radical_center_ (C1.center,C1.through,self.center,self.through)
+ end
+else
+ return radical_center3 (self,C1,C2)
+end
+end
+ -- version 1.80
+function circle : radical_circle (C1,C2)
+ local rc
+ if C2 == nil then
+ rc = self : radical_center (C1)
+ return self : orthogonal_from (rc)
+ else
+ rc = self : radical_center (C1,C2)
+ return C1 : orthogonal_from (rc)
+ end
+end
+
-- version 1.60 new
function circle : external_tangent(C)
local i,t1,t2,k,T1,T2
@@ -230,7 +266,7 @@ function circle: inversion (...)
else
t = {}
for i=1,tp.n do
- table.insert( t , inversion_ (self.center,self.through , tp[i]) )
+ table.insert( t , inversion_ (self.center,self.through , tp[i]) )
end
return table.unpack ( t )
end
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_class.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_class.lua
index 9f8670a1b7..91b12ce31e 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_class.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_class.lua
@@ -1,6 +1,6 @@
-- tkz_elements_class.lua
--- date 23/12/24
--- version 1.72c
+-- date 2024/01/16
+-- version 1.82c
-- from class.lua (Simple Lua Classes from Lua-users wiki)
-- Compatible with Lua 5.1 (not 5.0).
-- http://lua-users.org/wiki/SimpleLuaClasses DavidManura
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_ellipse.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_ellipse.lua
index bb8495336b..f3fa0d173b 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_ellipse.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_ellipse.lua
@@ -1,7 +1,7 @@
-- tkz_elements-ellipses.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_circles.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_circles.lua
index cde3c027ac..33477340d3 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_circles.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_circles.lua
@@ -1,7 +1,7 @@
-- tkz_elements_functions_circles.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
@@ -51,40 +51,55 @@ function inversion_ (c,p,pt)
local r = (ry*ry)/d
return c+polar_ (r,point.arg(pt-c))
end
-
+
+function circles_position_ (c1,r1,c2,r2)
+ local d,max,min,epsilon
+ epsilon = 10^(-12)
+ d = point.mod(c1-c2)
+ max = r1+r2
+ min = math.abs ( r1 - r2)
+ if d > max then return "outside"
+ elseif math.abs(d - max) < epsilon then return "outside tangent" -- epsilon
+ elseif math.abs(d - min) < epsilon then return "inside tangent" -- epsilon
+ elseif d < min then return "inside"
+ else return "intersect"
+ end
+end
+
function radical_axis_ (c1,p1,c2,p2)
- local d,m,m1,m2,epsilon,ci,cj,ck,cm,cn,r1,r2,t
+ local ci,cj
r1 = point.abs(c1-p1)
r2 = point.abs(c2-p2)
- epsilon = 10^(-12)
- d = point.abs (c2 - c1)
- m = d - (r1+r2)
- m1 = math.abs (d - (r1+r2))
- m2 = math.abs (d - math.abs(r1-(r2)))
- if m2 < epsilon then
- ci = rotation_ (p1,math.pi/2,c2)
- cj = rotation_ (p1,-math.pi/2,c2)
- return ci,cj
- elseif m1 < epsilon then -- circles tangent
- -- z.A = point : new ( x , y ) contact
- t,t = intersection_cc_ (c1,p1,c2,p2)
- ci = rotation_ (t,math.pi/2,c2)
- cj = rotation_ (t,-math.pi/2,c2)
- return ci,cj
- -- circles disjoints
- elseif m > 0 then
- ck = rotation_ (c1,math.pi/3,c2)
- ci,cj = intersection_cc_ (c1,p1,ck,c1)
- cm,cn = intersection_cc_ (c2,p2,ck,c1)
- ci = intersection_ll_ (ci,cj,cm,cn)
- cj = symmetry_axial_ (c1,c2,ci) -- projection_ (c1,c2,ci)
- return ci,cj
- else
- ci,cj = intersection_cc_ (c1,p1,c2,p2)
- return ci,cj
- end
+ d = point.abs(c1-c2)
+ h = (r1*r1-r2*r2+d*d)/(2*d)
+ ck = radical_center_ (c1,p1,c2,p2)
+ cj = rotation_ (ck,-math.pi/2,c1)
+ ci = symmetry_ (ck,cj)
+ return cj,ci
end
+function radical_center_ (c1,p1,c2,p2)
+ local d,r1,r2,h
+ r1 = point.abs(c1-p1)
+ r2 = point.abs(c2-p2)
+ d = point.abs(c1-c2)
+ h = (r1*r1-r2*r2+d*d)/(2*d)
+ return h*(c2-c1)/d+c1
+end
+
+-- version 1.60 center pour deux cercles ?
+function radical_center3 (C1,C2,C3)
+ local t1,t2,t3,t4
+ t1,t2 = radical_axis_ (C1.center,C1.through,C2.center,C2.through)
+ if C3 == nil then
+ return intersection_ll_ (t1,t2,C1.center,C2.center)
+ else
+ t3,t4 = radical_axis_ (C3.center,C3.through,C2.center,C2.through)
+return intersection_ll_ (t1,t2,t3,t4)
+end
+end
+
+
function south_pole_ (c,p)
local r
r = point.abs (c-p)
@@ -117,7 +132,7 @@ end
-- version 1.60 new
function midcircle_(C1,C2)
local state,r,s,t1,t2,T1,T2,p,a,b,c,d,Cx,Cy,i,j
- state = circles_position(C1,C2)
+ state = circles_position_(C1.center,C1.radius,C2.center,C2.radius)
i = barycenter_ ({C2.center,C1.radius},{C1.center,-C2.radius})
j = barycenter_ ({C2.center,C1.radius},{C1.center,C2.radius})
t1,t2 = tangent_from_ (C1.center,C1.through,i)
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_intersections.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_intersections.lua
index a3d5bd3a9d..be7eea4461 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_intersections.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_intersections.lua
@@ -1,7 +1,7 @@
-- tkz_elements_intersections.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_lines.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_lines.lua
index 4b27ec821f..642d048809 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_lines.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_lines.lua
@@ -1,7 +1,7 @@
-- tkz_elements_functions_lines.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
@@ -50,7 +50,7 @@ function online_ (a,b,t)
return (z1+z2)/2
end
-- triangle specific
-function equilateral_tr (a,b)
+function equilateral_tr_ (a,b)
return rotation_ (a,math.pi/3,b)
end
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_maths.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_maths.lua
index a3c2de28aa..0702b0a568 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_maths.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_maths.lua
@@ -1,7 +1,7 @@
-- tkz_elements_functions_maths.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_points.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_points.lua
index 309b7c762c..dfe86444df 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_points.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_points.lua
@@ -1,7 +1,7 @@
-- tkz_elements_functions_points.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_regular.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_regular.lua
index 423e13a937..4c0db75393 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_regular.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_regular.lua
@@ -1,7 +1,7 @@
-- tkz_elements_functions_regular.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
@@ -15,7 +15,7 @@
---------------------------------------------------------------------------
--
---------------------------------------------------------------------------
-function regular_(c,th,s)
+function regular_(c,th,s) -- center through side
local r,t,dep
dep = angle_normalize(point.arg (th-c))
t = {}
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_triangles.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_triangles.lua
index 3d92bdb819..c574147912 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_triangles.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_triangles.lua
@@ -1,7 +1,7 @@
-- tkz_elements_functions_triangles.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_line.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_line.lua
index 1143659bfb..1e45a544db 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_line.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_line.lua
@@ -1,7 +1,7 @@
-- tkz_elements_lines.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
@@ -51,6 +51,10 @@ function line: distance (pt)
return point.mod(projection(self,pt)-pt)
end
+function length(a,b)
+ return point.abs (a-b)
+end
+
function line: slope ()
return slope_(self.pa,self.pb)
end
@@ -118,6 +122,36 @@ end
function line: normalize_inv ()
return normalize_ (self.pb,self.pa)
end
+
+function line: _east (d)
+ local d = d or 1
+ return self.pb+ d/self.length * (self.pb-self.pa)
+end
+
+function line: _west (d)
+ local d = d or 1
+ return self.pa+ d/self.length * (self.pa-self.pb)
+end
+
+function line: _north_pa (d)
+ local d = d or 1
+ return d/self.length * ( self.north_pa - self.pa ) + self.pa
+end
+
+function line: _south_pa (d)
+ local d = d or 1
+ return d/self.length *( self.south_pa - self.pa ) + self.pa
+end
+
+function line: _south_pb (d)
+ local d = d or 1
+ return d/self.length *( self.south_pb - self.pb ) + self.pb
+end
+
+function line: _north_pb (d)
+ local d = d or 1
+ return d/self.length *( self.north_pb - self.pb ) + self.pb
+end
-------------- transformations -------------
function line: translation_pt ( pt )
return translation_ ( self.pb-self.pa,pt )
@@ -262,7 +296,7 @@ function line: ll_from ( pt )
end
function line: ortho_from ( pt )
- return line : new (pt,pt+(self.pb-self.pa)*point(0,1))
+ return line : new (pt+(self.pb-self.pa)*point(0,-1),pt+(self.pb-self.pa)*point(0,1))
end
function line: mediator ()
@@ -304,12 +338,10 @@ function line: equilateral (swap)
if swap then
return triangle : new (self.pa,self.pb,rotation_ (self.pa,-math.pi/3,self.pb))
else
- return triangle : new (self.pa,self.pb,rotation_ (self.pa,math.pi/3,self.pb))
-
+ return triangle : new (self.pa,self.pb,rotation_ (self.pa,math.pi/3,self.pb))
end
end
-
function line: isosceles (phi,swap)
local pta,ptb
if swap == nil then
@@ -324,9 +356,55 @@ function line: isosceles (phi,swap)
ptb = rotation_ (self.pb,-phi,self.pa)
return triangle : new (self.pa,self.pb, intersection_ll_ (self.pa,pta,self.pb,ptb ))
end
-
end
+function line: two_angles (alpha,beta)
+ local pta,ptb,pt
+ pta = rotation_ (self.pa,alpha,self.pb)
+ ptb = rotation_ (self.pb,-beta,self.pa)
+ pt = intersection_ll_ (self.pa,pta,self.pb,ptb)
+ return triangle : new (self.pa,self.pb,pt)
+end
+
+function line: school ()
+ local pta,ptb,pt
+ pta = rotation_ (self.pa,math.pi/6,self.pb)
+ ptb = rotation_ (self.pb,-math.pi/3,self.pa)
+ pt = intersection_ll_ (self.pa,pta,self.pb,ptb)
+ return triangle : new (self.pa,self.pb,pt)
+end
+
+function line: half ()
+ local x,pt
+ x = midpoint_(self.pa,self.pb)
+ pt = rotation_ (self.pb,-math.pi/2,x)
+ return triangle : new (self.pa,self.pb,pt)
+end
+
+function line: sss (a,b)
+ local pta,ptb,i,j
+ pta = self.pa + point ( a, 0 )
+ ptb = self.pb + point ( -b , 0)
+ i,j = intersection_cc_ (self.pa,pta,self.pb,ptb)
+ return triangle : new (self.pa,self.pb,i),triangle : new (self.pa,self.pb,j)
+end
+
+function line: ssa (a,phi)
+ local x,y,pt
+ x = rotation_ (self.pb,-phi,self.pa)
+ y = self.pa + polar_ ( a , self.slope)
+ i,j = intersection_lc_ (self.pb,x,self.pa,y)
+ return triangle : new (self.pa,self.pb,i),triangle : new (self.pa,self.pb,j)
+end
+
+function line: sas (a,phi)
+ local x,pt
+ x = self.pa + polar_ ( a , self.slope)
+ pt = rotation_ (self.pa,phi,x)
+ return triangle : new (self.pa,self.pb,pt)
+end
+---- sacred triangles ----
+
function line: gold (swap)
local pt
if swap == nil then
@@ -341,6 +419,16 @@ else
end
end
+function line: sublime ()
+ local pta,ptb,pt
+ pta = rotation_ (self.pa,2*math.pi/5,self.pb)
+ ptb = rotation_ (self.pb,-2*math.pi/5,self.pa)
+ pt = intersection_ll_ (self.pa,pta,self.pb,ptb)
+ return triangle : new (self.pa,self.pb,pt)
+end
+
+line.euclid = line.sublime
+
function line: euclide (swap)
if swap == nil then
swap = false
@@ -352,20 +440,39 @@ else
end
end
-function line: golden (swap)
- local pt
- local pta,ptb
- if swap == nil then
- swap = false
- end
-if swap then
- pt = rotation_ (self.pa,-2*math.pi/5,self.pb)
- return triangle : new (self.pa,self.pb, self.pa + (pt-self.pa) * tkzphi)
-else
- pt = rotation_ (self.pa,2*math.pi/5,self.pb)
- return triangle : new (self.pa,self.pb, self.pa + (pt-self.pa) * tkzphi)
- end
+function line: divine ()
+ local pta,ptb,pt,h
+ pta = rotation_ (self.pa,math.pi/5,self.pb)
+ ptb = rotation_ (self.pb,-math.pi/5,self.pa)
+ pt = intersection_ll_ (self.pa,pta,self.pb,ptb)
+ return triangle : new (self.pa,self.pb,pt)
+end
+
+function line: cheops ()
+ local m,n,pt
+ m = midpoint_ (self.pa,self.pb)
+ n = rotation_ (m,- math.pi/2,self.pa)
+ pt = m + (n-m)* tkzsqrtphi
+ return triangle : new (self.pa,self.pb,pt)
end
+
+function line: egyptian ()
+ local n,pt
+ n = rotation_ (self.pb,- math.pi/2,self.pa)
+ pt = self.pb + (n-self.pb)/point.mod(n-self.pb)*self.length* 0.75
+ return triangle : new (self.pa,self.pb,pt)
+end
+line.pythagoras = line.egyptian
+line.isis = line.egyptian
+
+function line: golden ()
+ local n,pt
+ n = rotation_ (self.pb,- math.pi/2,self.pa)
+ pt = self.pb + (n-self.pb)/tkzphi
+ return triangle : new (self.pa,self.pb,pt)
+end
+
+
------------------------------
-- Result -> couple of points
------------------------------
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_main.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_main.lua
index 44842d2d9c..132f193667 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_main.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_main.lua
@@ -1,7 +1,7 @@
-- tkz_elements-main.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_misc.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_misc.lua
index ed4dd949a1..23f088983f 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_misc.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_misc.lua
@@ -1,7 +1,7 @@
-- tkz_elements_functions_maths.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
@@ -33,26 +33,31 @@ function set_lua_to_tex (t)
token.set_macro(v,_ENV[v],'global')
end
end
--- version 1.60 center pour deux cercles ?
-function radical_center (C1,C2,C3)
- local t1,t2,t3,t4
- t1,t2 = radical_axis_ (C1.center,C1.through,C2.center,C2.through)
- if C3 == nil then
- return intersection_ll_ (t1,t2,C1.center,C2.center)
- else
- t3,t4 = radical_axis_ (C3.center,C3.through,C2.center,C2.through)
-return intersection_ll_ (t1,t2,t3,t4)
+
+function bisector (a,b,c)
+ local i
+ i = in_center_ (a,b,c)
+ return line : new (a,intersection_ll_ (a,i,b,c))
end
+
+function altitude (a,b,c)
+ local o,p
+ o = ortho_center_ (a,b,c)
+ p = projection_ (b,c,a)
+ return line : new (a,p)
end
--- version 1.60 modif case 2 circles
-function radical_circle (C1,C2,C3)
- local rc
- if C3 == nil then
- rc = radical_center (C1,C2)
- return C1 : orthogonal_from (rc)
- else
- rc = radical_center (C1,C2,C3)
- return C1 : orthogonal_from (rc)
+
+function bisector_ext(a,b,c) -- n =1 swap n=2 2 swap
+ local i,p
+ i = in_center_ (a,b,c)
+ p = rotation_ (a,math.pi/2,i)
+ return line : new (a,p)
end
+
+function equilateral (a,b)
+ return equilateral_tr_ (a,b)
end
+function midpoint (a,b)
+ return (a+b)/2
+end \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_parallelogram.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_parallelogram.lua
index 6ed56cc828..386eb023e0 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_parallelogram.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_parallelogram.lua
@@ -1,7 +1,7 @@
-- tkz_elements_parallelogram.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
@@ -16,7 +16,7 @@
---------------------------------------------------------------------------
parallelogram = {}
-function parallelogram: new (za, zb, zc,zd)
+function parallelogram: new (za, zb, zc, zd)
local d,epsilon
epsilon = 10^(-8)
local zi = midpoint_ (za,zc)
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_point.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_point.lua
index 4997b857d8..7530dfc96a 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_point.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_point.lua
@@ -1,7 +1,7 @@
-- tkz_elements_point.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
@@ -187,7 +187,7 @@ function point: new ( a,b )
end
function point: polar ( radius, phi )
- return scale * polar_ ( radius, phi )
+ return point: new (radius * math.cos(phi), radius * math.sin(phi))
end
function point: polar_deg ( radius, phi )
@@ -196,22 +196,22 @@ end
function point: north(d)
local d = d or 1
- return self+ polar_ ( d * scale, math.pi/2 )
+ return self+ polar_ ( d , math.pi/2 )
end
function point: south(d)
local d = d or 1
- return self + polar_ ( d * scale, 3 * math.pi/2 )
+ return self + polar_ ( d , 3 * math.pi/2 )
end
function point: east(d)
local d = d or 1
- return self+ polar_( d * scale, 0 )
+ return self+ polar_( d , 0 )
end
function point: west(d)
local d = d or 1
- return self + polar_ ( d * scale, math.pi )
+ return self + polar_ ( d , math.pi )
end
-- ----------------------------------------------------------------
-- transformations
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_quadrilateral.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_quadrilateral.lua
index 57d8af3aae..e80065540b 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_quadrilateral.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_quadrilateral.lua
@@ -1,7 +1,7 @@
-- tkz_elements_quadrilateral.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_rectangle.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_rectangle.lua
index 600d31665b..abb9c2f8e9 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_rectangle.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_rectangle.lua
@@ -1,7 +1,7 @@
-- tkz_elements-rectangle.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
@@ -36,7 +36,7 @@ function rectangle: new (za, zb,zc,zd)
local bd = line : new (zb,zd)
local length = point.mod (zb-za)
local width = point.mod (zd-za)
- local diagonal = point.abs (zc-za)
+ local diagonal = point.abs (zc-za)
local o = { pa = za,
pb = zb,
pc = zc,
@@ -47,7 +47,7 @@ function rectangle: new (za, zb,zc,zd)
da = da,
cd = cd,
bd = bd,
- diagonal = diagonal,
+ diagonal = diagonal,
exradius = exradius,
center = center,
length = length,
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_regular.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_regular.lua
index c0749917f5..dbd6273205 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_regular.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_regular.lua
@@ -1,7 +1,7 @@
-- tkz_elements_regular.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_square.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_square.lua
index 4c3ce73800..e9854efbe3 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_square.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_square.lua
@@ -1,7 +1,7 @@
-- tkz_elements-square.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_triangle.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_triangle.lua
index 4a0c892f60..d68084d5f8 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_triangle.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_triangle.lua
@@ -1,7 +1,7 @@
-- tkz_elements_triangles.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
@@ -56,6 +56,15 @@ end
-----------------------
-- points --
-----------------------
+-- version 1.80
+function triangle: trilinear (a,b,c)
+ return barycenter_ ( {self.pa,a*self.a },{self.pb,b*self.b},{self.pc,c*self.c} )
+end
+
+function triangle: barycentric (a,b,c)
+ return barycenter_ ( {self.pa,a },{self.pb,b},{self.pc,c} )
+end
+
function triangle: bevan_point ()
return circum_center_ ( self : excentral_tr())
end
@@ -128,6 +137,11 @@ function triangle : point (t)
return self.ca : point ((t*p-self.c-self.b)/self.a)
end
end
+
+function triangle : soddy_center ()
+ local s,i,j,k
+ return soddy_center_ (self.pa,self.pb,self.pc)
+end
-------------------
-- Result -> line
-------------------
@@ -152,17 +166,20 @@ function triangle: symmedian_line (n)
end
function triangle: altitude (n)
- local a,b,c,o
+ local a,b,c,o,p
a = self.pa
b = self.pb
c = self.pc
o = ortho_center_ (a,b,c)
if n==1 then
- return line : new (b,intersection_ll_ (b,o,a,c))
+ p = projection_ (a,c,b)
+ return line : new (b,p)
elseif n==2 then
- return line : new (c,intersection_ll_ (c,o,a,b))
+ p = projection_ (a,b,c)
+ return line : new (c,p)
else
- return line : new (a,intersection_ll_ (a,o,b,c))
+ p = projection_ (b,c,a)
+ return line : new (a,p)
end
end
@@ -223,7 +240,7 @@ local a,b,c,i,u,v,w
end
end
-----------------------
--- circles --
+--- Result -> circles --
-----------------------
function triangle: euler_circle ()
return circle : new (euler_center_ ( self.pa , self.pb , self.pc),midpoint_( self.pb , self.pc))
@@ -281,6 +298,12 @@ local ma,mb,mc,sp
return circle : new (sp,projection_ (ma,mb,sp))
end
+
+function triangle : soddy_circle ()
+ local s,i
+ s,i = soddy_center_ (self.pa,self.pb,self.pc)
+ return circle : new ( s , i )
+end
-------------------
-- Result -> triangle
-------------------
@@ -367,19 +390,6 @@ function triangle: parallelogram ()
local x = self.pc + self.pa - self.pb
return x
end
-
-function triangle: check_equilateral ()
- local A,B,C,epsilon
- epsilon = 10 ^(-8)
- A = self.pb - self.pc
- B = self.pa - self.pc
- C = self.pa - self.pb
- if (point.abs(A)-point.abs(B) < epsilon) and (point.abs(B)-point.abs(C) < epsilon)
- then
- tex.print("equilateral !!")
- error("something went wrong!")
- end
-end
function triangle: area ()
return area_(self.pa,self.pb,self.pc)
@@ -396,15 +406,7 @@ end
function triangle: check_equilateral ()
return check_equilateral_ (self.pa,self.pb,self.pc)
end
-function triangle : soddy_center ()
- local s,i,j,k
- return soddy_center_ (self.pa,self.pb,self.pc)
-end
-function triangle : soddy_circle ()
- local s,i
- s,i = soddy_center_ (self.pa,self.pb,self.pc)
- return circle : new ( s , i )
-end
+
return triangle \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_vector.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_vector.lua
index 17d5684304..c2802cd41f 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_vector.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_vector.lua
@@ -1,7 +1,7 @@
-- tkz_elements_vectors.lua
--- date 23/12/24
--- version 1.72c
--- Copyright 2023 Alain Matthes
+-- date 2024/01/16
+-- version 1.82c
+-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
diff --git a/macros/latex/contrib/tkz/tkz-euclide/README.md b/macros/latex/contrib/tkz/tkz-euclide/README.md
index c50db0cb55..bb5e16af3a 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/README.md
+++ b/macros/latex/contrib/tkz/tkz-euclide/README.md
@@ -1,6 +1,5 @@
# tkz-euclide — for euclidean geometry
-
-Release 5.04c 2023/10/26
+Release 5.05c 2024/01/16
## Description
@@ -64,6 +63,7 @@ Other examples, in French, are on my site.
## History
+- 5.05c Correction of the documentation.
- 5.04c Some files have been renamed.
@@ -107,8 +107,7 @@ Complement in the documentation for the macro `\tkzDefCircle[R](....)`. You can
Thus `\tkzDrawSquare(A,B)` becomes `\tkzDefSquare(A,B)` `\tkzGetPoints{C}{D}` then
`\tkzDrawPolygon(A,B,C,D)` ;
-
-
+
If you want to draw a circle, you can't do so \tkzDrawCircle[R](A,1) . First you have to define the point through which the circle passes, so you have to do
`\tkzDefCircle[R](A,1)` `\tkzGetPoint{a}` and finally `\tkzDrawCircle(A,a)` . Another possibilty is to define a point on the circle `\tkzDefShiftPoint[A](1,O){a}` ;
@@ -150,32 +149,24 @@ Complement in the documentation for the macro `\tkzDefCircle[R](....)`. You can
Correct allocation for gold sublime and euclide triangles;
-
I added the option " next to" for the intersections LC and CC;
-
Correction option isoceles right;
-
`\tkzDefMidArc(O,A,B)` gives the middle of the arc center $O$ from $A$ to $B$;
Good news : Some useful tools have been added. They are present on an experimental basis and will undoubtedly need to be improved;
-
The options "orthogonal from and through" depend now of `tkzDefCircleBy`
-
`\tkzDotProduct(A,B,C)` computes the scalar product in an orthogonal reference system of the vectors $\overrightarrow{A,B}$ and $\overrightarrow{A,C}$.
`\tkzDotProduct(A,B,C)=aa'+bb' if vec{AB} =(a,b) and vec{AC} =(a',b')`
-
`\tkzPowerCircle(A)(B,C)` power of point $A$ with respect to the circle of center $B$ passing through $C$;
-
`\tkzDefRadicalAxis(A,B)(C,D)` Radical axis of two circles of center $A$ and $C$;
-
Some tests : `\tkzIsOrtho(A,B,C)` and `\tkzIsLinear(A,B,C)` The first indicates whether the lines AB and AC are orthogonal. The second indicates whether the points $A$, $B$ and $C$ are aligned;
`\tkzIsLinear(A,B,C)` if A, B, C are aligned then \tkzLineartrue
diff --git a/macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-main.tex b/macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-main.tex
index 6e98386a2d..7bdf444be9 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-main.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-main.tex
@@ -21,10 +21,10 @@
headings = small
]{tkz-doc}
\gdef\tkznameofpack{tkz-euclide}
-\gdef\tkzversionofpack{5.04c}
+\gdef\tkzversionofpack{5.05c}
\gdef\tkzdateofpack{\today}
\gdef\tkznameofdoc{doc-tkz-euclide}
-\gdef\tkzversionofdoc{5.04c}
+\gdef\tkzversionofdoc{5.05c}
\gdef\tkzdateofdoc{\today}
\gdef\tkzauthorofpack{Alain Matthes}
\gdef\tkzadressofauthor{}
diff --git a/macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-news.tex b/macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-news.tex
index eac5c1a797..0d6149ff96 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-news.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-news.tex
@@ -1,5 +1,9 @@
\section*{News and compatibility}
+\subsection{With 5.05 version} % (fold)
+
+ Correction of the documentation in Complete but minimal example.
+
\subsection{With 5.03 version} % (fold)
\begin{itemize}
diff --git a/macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-presentation.tex b/macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-presentation.tex
index 6228a9b8a8..bb70c73788 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-presentation.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/doc/latex/TKZdoc-euclide-presentation.tex
@@ -532,8 +532,8 @@ $IB=a$, $AI=1$
\tkzDrawSegment[style=orange](I,C)
\tkzDrawArc(M,B)(A)
\tkzDrawSegment[dim={$1$,-16pt,}](A,I)
- \tkzDrawSegment[dim={$a/2$,-10pt,}](I,M)
- \tkzDrawSegment[dim={$a/2$,-16pt,}](M,B)
+ \tkzDrawSegment[dim={$(a-1)/2$,-10pt,}](I,M)
+ \tkzDrawSegment[dim={$(a+1)/2$,-16pt,}](M,B)
\tkzMarkRightAngle[ra](A,I,C)
\tkzDrawPoints(I,A,B,C,M)
\tkzLabelPoint[left](A){$A(0,0)$}
diff --git a/macros/latex/contrib/tkz/tkz-euclide/doc/tkz-euclide.pdf b/macros/latex/contrib/tkz/tkz-euclide/doc/tkz-euclide.pdf
index 76a0b3c7f5..1e7e46b430 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/doc/tkz-euclide.pdf
+++ b/macros/latex/contrib/tkz/tkz-euclide/doc/tkz-euclide.pdf
Binary files differ
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-angles.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-angles.tex
index 001c8f3226..4a83e27f02 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-angles.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-angles.tex
@@ -1,5 +1,5 @@
% tkz-tool-eu-angles.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tool-eu-angles.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tool-eu-angles.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% tkzSetUpArc
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-circles.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-circles.tex
index aef5271531..30c1d594f1 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-circles.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-circles.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-draw-circles.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-draw-circles.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-draw-circles.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% tkzSetUpCircle
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-compass.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-compass.tex
index 046bd4b9bd..fc1f5d524a 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-compass.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-compass.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-compass.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-compass.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-compass.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% Author Alain Matthes
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-ellipses.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-ellipses.tex
index cbacfdd3d4..a7b15ffcc1 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-ellipses.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-ellipses.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-draw-ellipses.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-draw-ellipses.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-draw-ellipses.tex}
\makeatletter
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-lines.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-lines.tex
index 0a5c9c1be8..7ee9e0cf0d 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-lines.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-lines.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-draw-lines.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-draw-lines.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-draw-lines.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-points.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-points.tex
index 520e3159e8..ac5eee4a3d 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-points.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-points.tex
@@ -1,5 +1,5 @@
% tkz-draw-points.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-draw-eu-points.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-draw-eu-points.tex}
\makeatletter
%<--------------------------------------------------------------------------->
% tkzSetUpPoint définit la forme d'un point
@@ -24,7 +24,7 @@
shape/.store in = \tkz@pt@shape,
size = \tkz@euc@pointsize,
color = \tkz@euc@pointcolor,
- fill = \tkz@euc@pointcolor,
+ fill = \tkz@euc@pointfillcolor,
shape = \tkz@euc@pointshape,
/tkzsetuppt/.search also = {/tikz},
}
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-polygons.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-polygons.tex
index df42073c07..b2a94785f5 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-polygons.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-polygons.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-polygons.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-polygons.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-polygons.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% Polygon
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-protractor.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-protractor.tex
index 1400924439..4b8beae952 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-protractor.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-protractor.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-protractor.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-protractor.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-protractor.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% !!! idea from Y. Combe !!!
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-sectors.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-sectors.tex
index 31684e81fe..83d9c371c1 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-sectors.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-sectors.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-sectors.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-sectors.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-sectors.tex}
\makeatletter
%<----------------------- Sectors ------------------------------–>
\gdef\tkz@nums{0}
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-show.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-show.tex
index 7dd82c3f3b..fd829793ba 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-show.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/drawings/tkz-draw-eu-show.tex
@@ -1,5 +1,5 @@
%tkz-obj-eu-show.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-show.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-show.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% finding specific points in a triangle
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/libs/tkz-lib-eu-marks.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/libs/tkz-lib-eu-marks.tex
index 5c25cf710e..acab14a9e9 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/libs/tkz-lib-eu-marks.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/libs/tkz-lib-eu-marks.tex
@@ -1,5 +1,5 @@
% tkz-eu-lib-marks.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-lib-eu-marks.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-lib-eu-marks.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% Création des symboles
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/libs/tkz-lib-eu-shape.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/libs/tkz-lib-eu-shape.tex
index f21fa29fd9..a353cb2169 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/libs/tkz-lib-eu-shape.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/libs/tkz-lib-eu-shape.tex
@@ -1,5 +1,5 @@
% tkz-lib-eu-shape.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-lib-eu-shape.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-lib-eu-shape.tex}
%<--------------------------------------------------------------------------–>
% Création des symboles
%<--------------------------------------------------------------------------–>
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-circles-by.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-circles-by.tex
index 3dc06c7e29..ebfcfd365f 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-circles-by.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-circles-by.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-circles.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -11,8 +11,8 @@
% The Current Maintainer of this work is Alain Matthes.
\def\fileversion{6.00}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 6.00 tkz-obj-eu-circles.tex}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 6.00 tkz-obj-eu-circles.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% tkzCircle center and one point
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-circles.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-circles.tex
index b6d733b242..2fd7b062a7 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-circles.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-circles.tex
@@ -1,5 +1,5 @@
% tkz-obj-lua-circles.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-lua-circles.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-lua-circles.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% tkzCircle center and one point
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-by.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-by.tex
index 3333524d78..ff47818ce5 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-by.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-by.tex
@@ -1,5 +1,5 @@
% tkz-tools-lua-points-by.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tools-lua-points-by.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tools-lua-points-by.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% Transformations Géométriques
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-spc.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-spc.tex
index 6003bb8efe..e37d8d41c1 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-spc.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-spc.tex
@@ -1,5 +1,5 @@
% tkz-obj-lua-points.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/01/23}
-\typeout{2023/01/23 5.04c tkz-obj-lua-points-spc.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/23}
+\typeout{2024/01/23 5.05c tkz-obj-lua-points-spc.tex}
\makeatletter
%add ExCenter
%<--------------------------------------------------------------------------–>
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-with.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-with.tex
index fe5ba902c0..b781bac070 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-with.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points-with.tex
@@ -1,5 +1,5 @@
% tkz-obj-lua-points-with.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-lua-points-with.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-lua-points-with.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% Vectors
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points.tex
index 744639a8a3..ce88d4ef0c 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj-lua/tkz-obj-eu-lua-points.tex
@@ -1,5 +1,5 @@
% tkz-obj-lua-points.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-lua-points.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-lua-points.tex}
\makeatletter
%<--------------------------------------------------------------------------->
% init def point
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-axesmin.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-axesmin.tex
index 1684d3b5cd..db87376b84 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-axesmin.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-axesmin.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-axesmin.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-axesmin}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-axesmin}
\makeatletter
\def\removedot#1.{#1}
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-circles-by.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-circles-by.tex
index 05b66f6f10..66454d0663 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-circles-by.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-circles-by.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-circles.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-circles.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-circles.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% tkzCircle center and one point
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-circles.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-circles.tex
index 2f57f39d16..832ecef382 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-circles.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-circles.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-circles.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-circles.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-circles.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% tkzCircle center and one point
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-grids.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-grids.tex
index e09d0b5b53..5f86300aae 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-grids.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-grids.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-grids.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-grids.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-grids.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% Setup Grid
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-lines.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-lines.tex
index 31bcc0d577..c51814eef6 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-lines.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-lines.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-lines.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-lines.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-lines.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% les lignes
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-by.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-by.tex
index b23f431925..684abf37aa 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-by.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-by.tex
@@ -1,5 +1,5 @@
% tkz-tools-eu-points-by.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tools-eu-points-by.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tools-eu-points-by.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% Transformations Géométriques
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-rnd.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-rnd.tex
index 838d573ff2..258fd309d1 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-rnd.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-rnd.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-points-rnd.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-points-rnd.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-points-rnd.tex}
%<--------------------------------------------------------------------------–>
\makeatletter
%<-------------------------------------------------------------------------–>
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-spc.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-spc.tex
index ac65123719..52a0cfb613 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-spc.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-spc.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-points.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-el-points.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-el-points.tex}
\makeatletter
%add ExCenter
%<--------------------------------------------------------------------------–>
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-with.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-with.tex
index 9d73a8316f..7bb3ed0611 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-with.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points-with.tex
@@ -1,5 +1,5 @@
% tkz-obj-el-points-with.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-points-with.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-points-with.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% Vectors
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points.tex
index 70e6c0702a..974c593bb4 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-points.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-points.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-points.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-points.tex}
\makeatletter
%<--------------------------------------------------------------------------->
% init def point
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-polygons.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-polygons.tex
index 6bdf499aa6..e73638800d 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-polygons.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-polygons.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-polygons.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-polygons.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-polygons.tex}
% bug in regular polygon side 2020/03/09
\makeatletter
%<--------------------------------------------------------------------------–>
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-triangles.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-triangles.tex
index 0312eaca5d..eebaf5b511 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-triangles.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/obj/tkz-obj-eu-triangles.tex
@@ -1,5 +1,5 @@
% tkz-obj-eu-triangles.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-triangles.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-triangles.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% Triangle Equilateral
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tkz-euclide.cfg b/macros/latex/contrib/tkz/tkz-euclide/latex/tkz-euclide.cfg
index b62312367e..5647683bbe 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tkz-euclide.cfg
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tkz-euclide.cfg
@@ -1,5 +1,5 @@
% tkz-euclide.cfg
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -16,9 +16,9 @@
% and save the file in a directory part of your TEXINPUTS environment
% variable.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-euclide.cfg}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-euclide.cfg}
%<------ colors ---------------------------------------–>
\def\tkz@backgroundcolor{white}
\def\tkz@textcolor{black}
@@ -29,6 +29,7 @@
%<-------------------------- points -----------------------------------–>
\def\tkz@euc@pointshape{circle}
\def\tkz@euc@pointcolor{\tkz@mainlinecolor}
+\def\tkz@euc@pointfillcolor{\tkz@euc@pointcolor!10}
\def\tkz@euc@labelcolor{\tkz@mainlinecolor}
\def\tkz@euc@pointsize{2}
\def\tkz@euc@pointpos{below right}
@@ -38,7 +39,7 @@
inner sep = 0pt,
shape = \tkz@euc@pointshape,
minimum size = \tkz@euc@pointsize,
- fill = \tkz@euc@pointcolor
+ fill = \tkz@euc@pointfillcolor
}
}
% label for the point
@@ -134,7 +135,7 @@ arc style/.style={%
\def\tkz@mk@fill{\tkz@otherlinecolor}
%<--------------------------------------------------------------------------–>
%<------------------------------ styles ---------------------------------–>
-\def\tkzSetUpStyle[#1]#2{\tikzset{#2/.style={#1}}}% add 2023
+\def\tkzSetUpStyle[#1]#2{\tikzset{#2/.style={#1}}}% add 2024
\tikzset{xlabel style/.style = {below = 3 pt,
inner sep = 1pt,
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tkz-euclide.sty b/macros/latex/contrib/tkz/tkz-euclide/latex/tkz-euclide.sty
index 8c8208f98a..988d84de40 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tkz-euclide.sty
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tkz-euclide.sty
@@ -1,5 +1,5 @@
% tkz-euclide.sty
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,11 +10,11 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
%-------------------------------------------------------------------------------
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-euclide.sty}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-euclide.sty}
\NeedsTeXFormat{LaTeX2e}
-\ProvidesPackage{tkz-euclide}[ 2023/10/26 5.04c for pure Euclidean Geometry ]
+\ProvidesPackage{tkz-euclide}[ 2024/01/16 5.05c for pure Euclidean Geometry ]
\newif\if@tkzlua
\@tkzluafalse
\DeclareOption{lua}{\@tkzluatrue}
@@ -70,11 +70,11 @@
{\pgfmath@y\dimexpr\pgfmath@y/10000\relax}
{}{\PatchFailed}
-%-------------------------------------------------------------------------------
+%-------------------------------
\newdimen\tkzRadius
\newdimen\tkzLength
\newdimen\tkz@radi
-%-------------------------------------------------------------------------------
+%-------------------------------
% tkz registres
\newdimen\tkz@ax
\newdimen\tkz@ay
@@ -121,9 +121,9 @@
\newif\iftkz@swap
\newif\iftkz@init@NO
\newif\iftkz@integer
-\newif\iftkz@Rep@orig%--------------------- Rep
+\newif\iftkz@Rep@orig%---------------------- Rep
\newif\iftkzLengthIncm%--------------------- Math
-\newif\iftkz@sop@show%--------------------- marks
+\newif\iftkz@sop@show%---------------------- marks
\newif\iftkz@equi@show
\newif\iftkz@gd@sub% sub grid ?%--------------------- about grid
\newif\iftkz@node\tkz@nodefalse
@@ -158,11 +158,11 @@
%<---------------------------------------------------------->
% Initialisation
%<---------------------------------------------------------->
+
\if@tkzlua
\RequirePackage{luacode}
\fi
-
\@ifpackageloaded{tkz-base}{}{%
% from base
\input{tkz-tools-eu-base.tex}
@@ -177,7 +177,7 @@
\input{tkz-obj-eu-points.tex}
\input{tkz-draw-eu-points.tex}
}
-% % next from euclide
+% next from euclide
\makeatletter
\if@tkzlua
\input{tkz-tools-eu-lua-base.tex}
@@ -206,7 +206,6 @@
\input{tkz-obj-eu-lines.tex}
\input{tkz-obj-eu-polygons.tex}
\input{tkz-obj-eu-triangles}
-
% drawings
\input{tkz-draw-eu-lines.tex}
\input{tkz-draw-eu-circles.tex}
@@ -217,5 +216,4 @@
\input{tkz-draw-eu-compass.tex}
\input{tkz-draw-eu-show.tex}
\input{tkz-draw-eu-protractor.tex}
-
\endinput \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-angles.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-angles.tex
index e5c9d373c6..38c516af97 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-angles.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-angles.tex
@@ -1,5 +1,5 @@
% tkz-tools-lua-angles.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tools-lua-angles.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tools-lua-angles.tex}
\makeatletter
\def\tkzmathrotatepointaround#1#2#3{%
\pgf@process{%
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-base.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-base.tex
index 45068a64e3..7466e412ca 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-base.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-base.tex
@@ -1,5 +1,5 @@
% tkz-tools-lua-base.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tools-lua-base.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tools-lua-base.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
\global\let\tkz@tmp@xa\tkz@init@xmin% modif 2016
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-intersections.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-intersections.tex
index 127db80eba..8e675e781b 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-intersections.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-intersections.tex
@@ -1,5 +1,5 @@
% tkz-tools-lua-intersections.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -13,9 +13,9 @@
% The Current Maintainer of this work is Alain Matthes.
% utf8 encoding
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tools-lua-intersections.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tools-lua-intersections.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% intersection de deux lignes
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-math.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-math.tex
index dc92fb70ca..3945213364 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-math.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tools-lua/tkz-tools-eu-lua-math.tex
@@ -1,5 +1,5 @@
% tkz-tools-lua-math.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tools-lua-math.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tools-lua-math.tex}
\makeatletter
%<-------------------------------------------------------------------------->
%<-------------------------------------------------------------------------->
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-BB.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-BB.tex
index 3212c55e44..82b8a602e2 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-BB.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-BB.tex
@@ -1,5 +1,5 @@
% tkz-tools-eu-BB.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-obj-eu-BB.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-obj-eu-BB.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
\def\tkzShowBB{\pgfutil@ifnextchar[{\tkz@ShowBB}{\tkz@ShowBB[]}}
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-angles.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-angles.tex
index f32c105855..abbadef102 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-angles.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-angles.tex
@@ -1,5 +1,5 @@
% tkz-tools-angles.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tools-eu-angles.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tools-eu-angles.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
%<--------------------------------------------------------------------------–>
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-base.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-base.tex
index 22a7787ae6..f034d12e9c 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-base.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-base.tex
@@ -1,5 +1,5 @@
% tkz-tools-eu-base.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tools-eu-base.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tools-eu-base.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
\global\let\tkz@tmp@xa\tkz@init@xmin% modif 2016
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-colors.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-colors.tex
index b991a2fd22..074b294bdb 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-colors.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-colors.tex
@@ -1,5 +1,5 @@
% tkz-tools-eu-colors
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tools-eu-colors}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tools-eu-colors}
\makeatletter
%<------ Initialisation of the colors with tkzSetUpColors ----------------->
@@ -42,14 +42,14 @@
\def\tkzSetUpAllColors{\pgfutil@ifnextchar[{\tkz@SetUpAllColors}{%
\tkz@SetUpAllColors[]}}
\def\tkz@SetUpAllColors[#1]{%
- \pgfqkeys{/tkzsupallcol}{#1} % now we redine the based colors
+ \pgfqkeys{/tkzsupallcol}{#1} % now we redefines the based colors
\def\tkz@fillcolor{\tkz@suac@bkc}
\def\tkz@mainlinecolor{\tkz@suac@txt}
\def\tkz@textcolor{\tkz@suac@txt}
\def\tkz@otherlinecolor{\tkz@suac@txt!50}
\def\tkz@sua@color{\tkz@suac@txt}
\tkzSetUpAxis[color=\tkz@suac@txt]
- \tkzSetUpGrid[color=\tkz@suac@txt]
+ \tkzSetUpGrid[color=\tkz@suac@txt]
\pagecolor{\tkz@suac@bkc}
\color{\tkz@suac@txt}
}
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-intersections.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-intersections.tex
index fdab77f658..a380d31ea5 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-intersections.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-intersections.tex
@@ -1,5 +1,5 @@
% tkz-tools-intersections.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -13,9 +13,9 @@
% The Current Maintainer of this work is Alain Matthes.
% utf8 encoding
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tools-eu-intersections.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tools-eu-intersections.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% intersection de deux lignes
@@ -462,7 +462,7 @@
\edef\tkz@xx{\fpeval{\tkz@ax+\tkz@aa/\tkz@dd*(\tkz@bx - \tkz@ax)}}
\edef\tkz@yy{\fpeval{\tkz@ay+\tkz@aa/\tkz@dd*(\tkz@by - \tkz@ay)}}
\path[coordinate](\tkz@xx pt,\tkz@yy pt) coordinate (tkzRadialCenter);
-\edef\tkz@hh{\fpeval{sqrt(abs((\tkz@cx+\tkz@aa)*(\tkz@cx-\tkz@aa)))}}% abs !2023
+\edef\tkz@hh{\fpeval{sqrt(abs((\tkz@cx+\tkz@aa)*(\tkz@cx-\tkz@aa)))}}% abs !2024
\edef\tkz@rx{\fpeval{\tkz@hh / \tkz@dd * (\tkz@ay - \tkz@by)}}
\edef\tkz@ry{\fpeval{\tkz@hh / \tkz@dd * (\tkz@bx - \tkz@ax)}}
\edef\tkz@xs{\fpeval{\tkz@xx + \tkz@rx}}
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-math.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-math.tex
index 9e39d90217..b9bef42168 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-math.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-math.tex
@@ -1,5 +1,5 @@
% tkz-tools-eu-math.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tools-eu-math.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tools-eu-math.tex}
\makeatletter
%<-------------------------------------------------------------------------->
% \tkzpointnormalised#
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-modules.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-modules.tex
index 916b166af9..19b9b54a36 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-modules.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-modules.tex
@@ -1,5 +1,5 @@
% tkz-tools-modules
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tools-eu-utilities.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tools-eu-utilities.tex}
\makeatletter
%<------------- % chargement des modules ---------------------------------->
\def\tkz@obj@all{angles,arcs,compass,defcircles,deflines,defpoints,defpointsby,defpointsrnd,defpointswith,polygons,protractor,sectors,show,triangles}%
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-text.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-text.tex
index 66dbf64bd7..a40f61c655 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-text.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-text.tex
@@ -1,5 +1,5 @@
% tkz-tools-eu-text.tex
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tools-eu-text.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tools-eu-text.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% tkzText
diff --git a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-utilities.tex b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-utilities.tex
index 0bf0b046a9..b5d1b43331 100644
--- a/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-utilities.tex
+++ b/macros/latex/contrib/tkz/tkz-euclide/latex/tools/tkz-tools-eu-utilities.tex
@@ -1,5 +1,5 @@
% tkz-tools-eu-utilities
-% Copyright 2023 Alain Matthes
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -10,9 +10,9 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\def\fileversion{5.04c}
-\def\filedate{2023/10/26}
-\typeout{2023/10/26 5.04c tkz-tools-eu-utilities.tex}
+\def\fileversion{5.05c}
+\def\filedate{2024/01/16}
+\typeout{2024/01/16 5.05c tkz-tools-eu-utilities.tex}
\makeatletter
\pgfkeys{/tkzClip/.cd,
space/.store in = {\tkz@CLI@space},