<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">% !TEX TS-program = lualatex
% Created by Alain Matthes on 2024-12-25.
% Copyright (c) 2024 AlterMundus.
\documentclass[margin = 12pt]{standalone} 
\usepackage[mini]{tkz-euclide}
\usepackage{tkz-elements}
\begin{document}

\directlua{
  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
}

\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}</pre></body></html>