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% tkz-obj-eu-circles.tex
% Copyright 2022 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.
% The latest version of this license is in
% http://www.latex-project.org/lppl.txt
% and version 1.3 or later is part of all distributions of LaTeX
% version 2005/12/01 or later.
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
\def\fileversion{4.25c}
\def\filedate{2022/09/23}
\typeout{2022/09/23 4.25c tkz-obj-eu-circles.tex}
\makeatletter
%<--------------------------------------------------------------------------–>
% tkzCircle center and one point
%<--------------------------------------------------------------------------–>
% attention radius circle is defined by center and a point on the circle
% R defined by center and the value of the radius
% no need to define a circle with R tikz uses this method.
% through instead of radius
\def\tkz@numc{0}
\pgfkeys{/tkzcircle/.cd,
R/.code = \def\tkz@numc{0},
diameter/.code = \def\tkz@numc{1},
circum/.code = \def\tkz@numc{2},
in/.code = \def\tkz@numc{3},
ex/.code = \def\tkz@numc{4},
euler/.code = \def\tkz@numc{5},
nine/.code = \def\tkz@numc{5},
apollonius/.code = \def\tkz@numc{6},
spieker/.code = \def\tkz@numc{7},
orthogonal from/.code args = {#1}{\gdef\tkz@numc{8}
\def\tkz@ptfrom{#1}},
orthogonal through/.code args = {#1 and #2}{\gdef\tkz@numc{9}
\def\tkz@ptone{#1}
\def\tkz@pttwo{#2}},
K/.code = \def\tkz@koeff{#1},
K = 1,
circum
}
\def\tkzDefCircle{\pgfutil@ifnextchar[{\tkz@DefCircle}{\tkz@DefCircle[]}}
\def\tkz@DefCircle[#1](#2){%
\begingroup
\pgfqkeys{/tkzcircle}{#1}
\ifcase\tkz@numc%
\tkzDefCircleR(#2)
\or% 1
\tkzDefCircleD(#2)
\or% 2
\tkzDefCircumCircle(#2)
\or% 3
\tkzDefInCircle(#2)
\or% 4
\tkzDefExCircle(#2)
\or% 5
\tkzDefEulerCircle(#2)
\or% 6
\tkzDefApolloniusCircle(#2)
\or% 7
\tkzDefSpiekerCircle(#2)
\or% 8
\tkzDefOrthogonalCircle(#2,\tkz@ptfrom)
\or% 9
\tkzDefOrthoThroughCircle(#2,\tkz@ptone,\tkz@pttwo)
\fi
\endgroup
}
%for compatibility
%<--------------------------------------------------------------------------–>
% R
%<--------------------------------------------------------------------------–>
\def\tkzDefCircleR(#1,#2){%
\begingroup
\edef\tkzLengthResult{\fpeval{round(#2,5)}}
\global\let\tkzLengthResult\tkzLengthResult
\path (#1)--++(\tkzLengthResult,0) coordinate (tkzSecondPointResult);
\tkzRenamePoint(tkzSecondPointResult){tkzPointResult}
\endgroup
}
%<--------------------------------------------------------------------------–>
% Through Circle center and point
%<--------------------------------------------------------------------------–>
\def\tkzDefCircleThrough(#1,#2){%
\begingroup
\tkz@@CalcLengthcm(#1,#2){tkzLengthResult}
\node [draw,circle through=(#2)] at (#1) {};
\tkzRenamePoint(#1){tkzPointResult}
\endgroup
}
%<--------------------------------------------------------------------------–>
% Diameter Circle
%<--------------------------------------------------------------------------–>
\def\tkzDefCircleD(#1,#2){%
\begingroup
\tkzDefMidPoint(#1,#2)
\pgfnodealias{tkzFirstPointResult}{tkzPointResult}
\pgfnodealias{tkzSecondPointResult}{#2}
\tkz@@CalcLengthcm(#1,tkzPointResult){tkzLengthResult}
\endgroup
}
%<--------------------------------------------------------------------------–>
% Circum Circle
%<--------------------------------------------------------------------------–>
\def\tkzDefCircumCircle(#1,#2,#3){%
\begingroup
\tkzCircumCenter(#1,#2,#3)
\tkzRenamePoint(tkzPointResult){tkzFirstPointResult}
\tkzRenamePoint(#1){tkzSecondPointResult}
\tkz@@CalcLengthcm(#1,tkzPointResult){tkzLengthResult}%3.06 add [cm]
\endgroup
}
%<--------------------------------------------------------------------------–>
% In(scribe) Circle
%<--------------------------------------------------------------------------–>
\def\tkzDefInCircle(#1,#2,#3){%
\begingroup
\tkzInCenter(#1,#2,#3)
\pgfnodealias{tkz@incenter}{tkzPointResult}
\tkzUProjection(#1,#3)(tkz@incenter)
\pgfnodealias{tkzSecondPointResult}{tkzPointResult}
\tkz@@CalcLengthcm(tkzPointResult,tkz@incenter){tkzLengthResult}
\pgfnodealias{tkzPointResult}{tkz@incenter}
\pgfnodealias{tkzFirstPointResult}{tkz@incenter}
\endgroup
}
%<--------------------------------------------------------------------------–>
% Ex(scribe) Circle
%<--------------------------------------------------------------------------–>
\def\tkzDefExCircle(#1,#2,#3){%
\begingroup
\tkzExCenter(#1,#2,#3)
\pgfnodealias{tkz@excenter}{tkzPointResult}
\tkzUProjection(#1,#3)(tkz@excenter)
\pgfnodealias{tkzSecondPointResult}{tkzPointResult}
\tkz@@CalcLengthcm(tkzPointResult,tkz@excenter){tkzLengthResult}% for tkzGetLength
\pgfnodealias{tkzPointResult}{tkz@excenter}
\pgfnodealias{tkzFirstPointResult}{tkz@excenter}
\endgroup
}
%<--------------------------------------------------------------------------–>
% Radius Ex Circle
%<--------------------------------------------------------------------------–>
\def\tkzDefExRadius(#1,#2,#3){%
\begingroup
\tkzExCenter(#1,#2,#3)
\tkzUProjection(#1,#3)(tkzPointResult)
\endgroup
}
%<--------------------------------------------------------------------------–>
% The nine-point circle, also called Euler's circle or the Feuerbach circle
% best way Ma,Mb,Mc circum center 2020
%<--------------------------------------------------------------------------–>
\def\tkzDefEulerCircle(#1,#2,#3){%
\begingroup
\tkzDefMidPoint(#1,#2) \pgfnodealias{tkz@e1}{tkzPointResult}
\tkzDefMidPoint(#2,#3) \pgfnodealias{tkz@e2}{tkzPointResult}
\tkzDefMidPoint(#1,#3) \pgfnodealias{tkz@e3}{tkzPointResult}
\tkzCircumCenter(tkz@e1,tkz@e2,tkz@e3)
\pgfnodealias{tkzFirstPointResult}{tkzPointResult}
\tkzRenamePoint(tkz@e1){tkzSecondPointResult}
\tkz@@CalcLengthcm(tkzPointResult,tkz@e1){tkzLengthResult}
\endgroup
}
\let\tkzDefNinePointsCircle\tkzEulerCircle%
\let\tkzFeuerBachCircle\tkzEulerCircle%
\def\tkzDefEulerRadius(#1,#2,#3){%
\begingroup
\tkzEulerCenter(#1,#2,#3)
\pgfnodealias{eur@pta}{tkzPointResult}
\tkzDefMidPoint(#1,#2)
\tkz@@CalcLengthcm(eur@pta,tkzPointResult){tkzLengthResult}
\endgroup
}
%<--------------------------------------------------------------------------–>
% Apollonius circle
%<--------------------------------------------------------------------------–>
\def\tkzDefApolloniusCircle(#1,#2){%
\begingroup
\tkzDefBarycentricPoint(#1=1,#2=\tkz@koeff)
\pgfnodealias{apo@pta}{tkzPointResult}
\pgfnodealias{tkzSecondPointResult}{tkzPointResult}
\tkzDefBarycentricPoint(#1=1,#2=-\tkz@koeff)
\pgfnodealias{apo@ptb}{tkzPointResult}
\tkzDefMidPoint(apo@pta,apo@ptb)
\pgfnodealias{tkzFirstPointResult}{tkzPointResult}
\tkz@@CalcLengthcm(tkzFirstPointResult,apo@pta){tkzLengthResult}
\pgfnodealias{tkzThirdPointResult}{apo@ptb}
\endgroup
}
%<--------------------------------------------------------------------------–>
\def\tkzDefOrthogonalCircle(#1,#2,#3){%
\begingroup
\tkzTgtFromP(#1,#2)(#3)
\tkz@@CalcLengthcm(#1,tkzFirstPointResult){tkzLengthResult}
\endgroup
}
%<--------------------------------------------------------------------------–>
\def\tkzDefOrthoThroughCircle(#1,#2,#3,#4){%
\begingroup
\tkz@@CalcLengthcm(#1,#3){tkz@lnb}%
\edef\tkz@lnc{\fpeval{1/\tkz@lnb}}
\tkzVecKNorm[\tkz@lnc](#1,#3)
\pgfnodealias{tkz@PointResult}{tkzPointResult}
\tkzCircumCenter(tkz@PointResult,#3,#4)
\tkz@@CalcLengthcm(tkzPointResult,#3){tkzLengthResult}
\pgfnodealias{tkzFirstPointResult}{tkzPointResult}
\pgfnodealias{tkzSecondPointResult}{#3}
\endgroup
}
%<--------------------------------------------------------------------------–>
% Spieker Circle
%<--------------------------------------------------------------------------–>
\def\tkzDefSpiekerCircle(#1,#2,#3){%
\begingroup
\tkzSpiekerCenter(#1,#2,#3)
\pgfnodealias{tkzFirstPointResult}{tkzPointResult}
\tkzUProjection(tkz@m1,tkz@m2)(tkzPointResult)
\pgfnodealias{tkzSecondPointResult}{tkzPointResult}
\tkz@@CalcLength(tkzSecondPointResult,tkzFirstPointResult){tkzLengthResult}
\endgroup
}
%<--------------------------------------------------------------------------–>
%<--------------------------------------------------------------------------–>
% End Def Circle
%<--------------------------------------------------------------------------–>
\makeatother
\endinput
|
