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\begin{tikzpicture}[scale=.75,rotate=60]
\tkzDefPoint(0,0){A}
\tkzDefPoint(3,0){B}
\tkzDefPoint(0.5,2.5){C}
\tkzDefCircle[euler](A,B,C) \tkzGetPoint{N}
\tkzDefSpcTriangle[feuerbach,name=F](A,B,C){_a,_b,_c}
\tkzDefSpcTriangle[excentral,name=J](A,B,C){_a,_b,_c}
\tkzDefSpcTriangle[extouch,name=T](A,B,C){_a,_b,_c}
\tkzDrawCircle[red](N,F_a)
% \tkzDrawCircle[in](A,B,C)
\tkzDrawPolygon(A,B,C)
\tkzDrawPolygon[blue](F_a,F_b,F_c)
\tkzDrawPoints[blue](J_a,J_b,J_c,F_a,F_b,F_c,A,B,C))
\tkzDrawCircles[purple](J_a,F_a J_b,F_b J_c,F_c)
\tkzAutoLabelPoints[center=N,dist=.3,
font=\scriptsize](A,B,C,F_a,F_b,F_c,J_a,J_b,J_c)
\end{tikzpicture}
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