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-\input{preamble-standalone.ltx}
-\begin{document}
-
-% Ex. No. 52 (Section 9.2.2 : Example of \tkzname{homothety} and \tkzname{projection})
-
-\begin{tikzpicture}[scale=1.2]
- \tkzDefPoint(0,1){A} \tkzDefPoint(5,3){B} \tkzDefPoint(3,4){C}
- \tkzDefLine[bisector](B,A,C) \tkzGetPoint{a}
- \tkzDrawLine[add=0 and 0,color=magenta!50 ](A,a)
- \tkzDefPointBy[homothety=center A ratio .5](a) \tkzGetPoint{a'}
- \tkzDefPointBy[projection = onto A--B](a') \tkzGetPoint{k'}
- \tkzDefPointBy[projection = onto A--B](a) \tkzGetPoint{k}
- \tkzDrawLines[add= 0 and .3](A,k A,C)
- \tkzDrawSegments[blue](a',k' a,k)
- \tkzDrawPoints(a,a',k,k',A)
- \tkzDrawCircles(a',k' a,k)
- \tkzLabelPoints(a,a',k,A)
-\end{tikzpicture}
-
-\end{document} \ No newline at end of file