% !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{dofile("lua/" .. tex.jobname .. ".lua")} \begin{tikzpicture}[ scale = .6] \tkzGetNodes \tkzFillCircles[green!30](O,xa) \tkzFillCircles[teal!30](Ja,Ea Jb,Eb Jc,Ec) \tkzFillCircles[lightgray](S,a) \tkzFillCircles[green!30](N,Ea) \tkzDrawPoints(xa,xb,xc) \tkzClipCircle(O,xa) \tkzDrawLines[add=3 and 3](A,B A,C B,C) \tkzDrawCircles(Ja,Ea Jb,Eb Jc,Ec S,a O,xa N,Ea) \tkzDrawPoints(O,A,B,C,S,Ea,Eb,Ec,N) \tkzDrawSegments[dashed](S,xa S,xb S,xc) \tkzLabelPoints(O,N,A,B) \tkzLabelPoints[right](S,C) \end{tikzpicture} \end{document} % The Feuerbach triangle is the triangle formed by the three points of tangency of the nine-point circle with the excircles