1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
|
% !TEX TS-program = lualatex
% Author Alain Matthes 2023
\documentclass{article}
\usepackage{tkz-euclide}
\usepackage{tkz-elements}
\begin{document}
\begin{tkzelements}
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)
L.AB = line: new ( z.A, z.B)
z.O_0 = L.AB.mid
z.O_1 = L.AC.mid
z.O_2 = L.CB.mid
C.AB = circle: new ( z.O_0, z.B)
C.AC = circle: new ( z.O_1, z.C)
C.CB = circle: new ( z.O_2, z.B)
z.P = C.CB.north
z.Q = C.AC.north
z.O = C.AB.south
z.c = z.C : north (2)
C.PC = circle: new ( z.P, z.C)
C.QA = circle: new ( z.Q, z.A)
z.P_0 = intersection (C.PC,C.AB)
z.P_1 = intersection (C.PC,C.AC)
_,z.P_2 = intersection (C.QA,C.CB)
T = triangle: new ( z.P_0, z.P_1, z.P_2)
z.O_3 = T.circumcenter
\end{tkzelements}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawCircle[black,fill=yellow!20,opacity=.4](O_0,B)
\tkzDrawCircles[teal,fill=teal!40,opacity=.6](O_1,C O_2,B)
\tkzDrawCircle[purple,fill=purple!20,opacity=.4](O_3,P_0)
\tkzDrawArc[cyan,delta=10](Q,A)(P_0)
\tkzDrawArc[cyan,delta=10](P,P_0)(B)
\tkzDrawArc[cyan,delta=10](O,B)(A)
\tkzDrawPoints(A,B,C,O_0,O_1,O_2,P,Q,P_0,P_0,P_1,P_2,O)
\tkzLabelPoints(A,B,C,O_0,O_1,O_2,P,Q,P_0,P_0,P_1,P_2,O)
\end{tikzpicture}
\end{document}
|
