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\input{preamble-standalone.ltx}
\begin{document}
% Ex. No. 86 (Section 11.1.1 : Proportion d'or avec \tkzcname{tkzDuplicateSegment})
\begin{tikzpicture}[rotate=-90,scale=.75]
\tkzInit[xmax=10,ymax=10]
\tkzClip[space=1]
\tkzDefPoint(0,0){A}
\tkzDefPoint(10,0){B}
\tkzDefMidPoint(A,B) \tkzGetPoint{I}
\tkzDefPointWith[orthogonal,K=-.75](B,A)
\tkzGetPoint{C}
\tkzInterLC(B,C)(B,I) \tkzGetSecondPoint{D}
\tkzDuplicateSegment(B,D)(D,A) \tkzGetPoint{E}
\tkzInterLC(A,B)(A,E) \tkzGetPoints{N}{M}
\tkzDrawArc[delta=10](D,E)(B)
\tkzDrawArc[delta=10](A,M)(E)
\tkzDrawLines(A,B B,C A,D)
\tkzDrawArc[delta=10](B,D)(I)
\tkzDrawPoints(A,B,D,C,M,I,N)
\tkzLabelPoints(A,B,D,C,M,I,N)
\end{tikzpicture}
\end{document}
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