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LaTeX-examples/tikz/triangle-thales-circle/triangle-thales-circle.tex
2014-10-20 22:35:14 +02:00

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\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{amsmath,scalerel}
\DeclareMathOperator*{\Bigcdot}{\scalerel*{\cdot}{\bigodot}}
\usepackage{tkz-euclide}
\usetikzlibrary{angles,quotes}
\begin{document}
\usetkzobj{all}
\begin{tikzpicture}
\tkzSetUpPoint[shape=circle,size=10,color=black,fill=black]
\tkzSetUpLine[line width=1]
\tkzDefPoints{0/0/O, -5/0/A, 5/0/B, 5/5/M, -5/5/N}
\tkzDefPoint(60:5){X}
\tkzDefPoint(150:5){Y}
\tkzDrawArc[color=black, thick, fill=gray!10](O,B)(A)
% Avoid too long edges of polygon
\tkzClipPolygon(A,B,M,N)
\tkzClipCircle(O,B)
% Draw polygons and mark right angle
\tkzDrawPolygon[fill=red,fill opacity=0.3](A,B,X)
\draw pic[very thick, draw, angle radius=3mm,"$\Bigcdot$",angle eccentricity=.6]{angle= A--X--B};
\tkzDrawPolygon[fill=green,fill opacity=0.3](A,B,Y)
\draw pic[very thick, draw, angle radius=3mm,"$\Bigcdot$",angle eccentricity=.6]{angle= A--Y--B};
% lines should not colored
\tkzDrawPolygon(A,B,X)
\tkzDrawPolygon(A,B,Y)
\tkzDrawArc[color=black, thick](O,B)(A)
\end{tikzpicture}
\end{document}