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   \begin{tikzpicture}[scale=.4]
    \tkzDefPoints{% x   y   name
                0    /0    /A,
                6    /0    /B,
                4    /6    /C}

   \tkzDefSpcTriangle[ex](A,B,C){Ja,Jb,Jc}
   \tkzDefSpcTriangle[extouch](A,B,C){Ta,Tb,Tc}
   \tkzDrawPoints(Ja,Jb,Jc,Ta,Tb,Tc)
   \tkzLabelPoints(Ja,Jb,Jc,Ta,Tb,Tc)
   \tkzDrawPolygon[](A,B,C)
   \tkzDefTriangleCenter[nagel](A,B,C)
   \tkzGetPoint{Na}
   \tkzDrawPoints(B,C,A,Na)
   \tkzLabelPoints(B,C,A,Na)
   \tkzShowBB\tkzClipBB
   \tkzDrawLines[add=1 and 1,dashed](A,B B,C C,A)
   \tkzDrawCircles[dashed](Ja,Ta Jb,Tb Jc,Tc)
   \tkzDrawSegments[dashed](Ja,Ta Jb,Tb Jc,Tc)
   \tkzMarkRightAngles[fill=gray!20](Ja,Ta,C
                  Jb,Tb,A Jc,Tc,B)
   \end{tikzpicture}