% !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}