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+\begin{tikzpicture}[scale=.5]
+ \tkzDefPoint(2,3){A} \tkzDefPoint(5,-1){B}
+ \tkzDefPoint[label=below:$\mathcal{C}$,
+ shift={(2,3)}](-30:5.5){E}
+ \begin{scope}[shift=(A)]
+ \tkzDefPoint(30:5){C}
+ \end{scope}
+ \tkzCalcLength[cm](A,B)\tkzGetLength{rAB}
+ \tkzDrawCircle[R](A,\rAB cm)
+ \tkzDrawSegment(A,B)
+ \tkzDrawPoints(A,B,C)
+ \tkzLabelPoints(B,C)
+ \tkzLabelPoints[above](A)
+\end{tikzpicture}