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\begin{tikzpicture}[scale=.5]
\tkzDefPoints{0/0/A,6/0/B,4/6/C}
\tkzDefSpcTriangle[centroid](A,B,C){Ma,Mb,Mc}
\tkzDefSpcTriangle[ex](A,B,C){Ja,Jb,Jc}
\tkzDefSpcTriangle[extouch](A,B,C){Ta,Tb,Tc}
\tkzDefTriangleCenter[mittenpunkt](A,B,C)
\tkzGetPoint{Mi}
\tkzDrawPoints(Ma,Mb,Mc,Ja,Jb,Jc)
\tkzClipBB
\tkzDrawPolygon[](A,B,C)
\tkzDrawLines[add=0 and 1](Ja,Ma
Jb,Mb Jc,Mc)
\tkzDrawLines[add=1 and 1](A,B A,C B,C)
\tkzDrawCircles[dashed](Ja,Ta Jb,Tb Jc,Tc)
\tkzDrawPoints(B,C,A,Mi)
\tkzLabelPoints(B,C,A,Mi)
\tkzLabelPoints[left](Mb)
\tkzLabelPoints(Ma,Mc,Jb,Jc)
\tkzLabelPoints[above left](Ja,Jc)
\tkzShowBB
\end{tikzpicture}
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