\input{preamble-standalone.ltx} \begin{document} % Ex. No. 228 (Section 30.1.3 : "Le Monde" version) \begin{tikzpicture}[scale=1.25] \tkzDefPoint(0,0){A} \tkzDefPoint(3,0){B} \tkzDefPoint(9,0){C} \tkzDefPoint(1.5,2){X} \tkzDefPoint(6,4){Y} \tkzDefCircle[circum](X,Y,B) \tkzGetPoint{O} \tkzDefMidPoint(X,Y) \tkzGetPoint{I} \tkzDefPointWith[orthogonal](I,Y) \tkzGetPoint{i} \tkzDrawLines[add = 2 and 1,color=orange](I,i) \tkzInterLL(I,i)(A,B) \tkzGetPoint{Z} \tkzInterLC(I,i)(O,B) \tkzGetSecondPoint{M} \tkzDefPointWith[orthogonal](B,Z) \tkzGetPoint{b} \tkzDrawCircle(O,B) \tkzDrawLines[add = 0 and 2,color=orange](B,b) \tkzDrawSegments(A,X B,X B,Y C,Y A,C X,Y) \tkzDrawSegments[color=red](X,Z Y,Z) \tkzDrawPoints(A,B,C,X,Y,Z,M,I) \tkzLabelPoints(A,B,C,Z) \tkzLabelPoints[above right](X,Y,M,I) \end{tikzpicture} \end{document}