Centre de similitude

Il est possible de modifier et de compiler cet exemple :

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\documentclass[border=10pt]{standalone}
\usepackage{tkz-euclide}
\begin{document}
\tkzSetUpStyle[orange]{new}
\begin{tikzpicture}[rotate=30]
 \tkzDefPoints{0/0/O,4/-5/A}
 \tkzDefPoints{3/0/x,5/-5/y}
 \pgfmathsetmacro\R{3}\pgfmathsetmacro\r{1}
 \tkzDefIntSimilitudeCenter[R](O,\R)(A,\r) \tkzGetPoint{I}
 \tkzDefExtSimilitudeCenter[R](O,\R)(A,\r) \tkzGetPoint{J}
 \tkzDefTangent[from  with R= I](O,3)   \tkzGetPoints{D}{E}
 \tkzDefTangent[from with R= I](A,1)    \tkzGetPoints{D'}{E'}
 \tkzDefTangent[from  with R= J](O,3)   \tkzGetPoints{F}{G}
 \tkzDefTangent[from with R= J](A,1)    \tkzGetPoints{F'}{G'}
 \tkzDrawCircles(O,x A,y)               \tkzDrawCircles[R](O,3 A,1)
 \tkzDrawSegments[add = .5 and .5,new](D,D' E,E')
 \tkzDrawSegments[add= 0 and 0.25,new](J,F J,G)
 \tkzDrawPoints(O,A,I,J,D,E,F,G,D',E',F',G')
 \tkzLabelPoints[font=\scriptsize](O,A,I,J,D,E,F,G,D',E',F',G')
\end{tikzpicture}
\end{document}
 
 
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