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\begin{tikzpicture}
\tkzInit
\tkzDefPoint(0,0){A} \tkzDefPoint(3,2){B}
\tkzDefLine[mediator](A,B) \tkzGetPoints{I}{J}
\tkzCalcLength[cm](A,B) \tkzGetLength{dAB}
\tkzFindSlopeAngle(A,B) \tkzGetAngle{tkzangle}
\begin{scope}[rotate=\tkzangle]
\tikzset{arc/.style={color=gray,delta=10}}
\tkzDrawArc[R,arc](B,3/4*\dAB)(120,240)
\tkzDrawArc[R,arc](A,3/4*\dAB)(-45,60)
\tkzDrawLine(I,J) \tkzDrawSegment(A,B)
\end{scope}
\tkzDrawPoints(A,B,I,J) \tkzLabelPoints(A,B)
\tkzLabelPoints[right](I,J)
\end{tikzpicture}
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