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+% !TEX TS-program = lualatex
+% Created by Alain Matthes on 2023-02-25.
+% Copyright (c) 2023 AlterMundus.
+
+\documentclass{standalone}
+\usepackage{tkz-euclide}
+\usepackage{tkz-elements}
+\begin{document}
+
+\begin{tkzelements}
+ scale = 2
+ z.A = point: new(0,0)
+ z.B = point: new(5,0)
+ z.C = point: new(1,4)
+ T.ABC = triangle: new (z.A,z.B,z.C)
+ T.EFG = T.ABC: medial ()
+ z.E,z.F,z.G = get_points (T.EFG)
+ z.S = T.ABC: medial (): circum_circle ().south
+ z.O = T.ABC: medial ().circumcenter
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygons(A,B,C E,F,G)
+ \tkzDrawCircle(O,E)
+ \tkzDrawPoints(A,B,C,O,S,E,F,G)
+ \tkzLabelPoints(A,B,O,S,E,F,G)
+ \tkzLabelPoints[above](C)
+\end{tikzpicture}
+
+\end{document} \ No newline at end of file