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\input{preamble-standalone.ltx}
\begin{document}
% Ex. No. 172 (Section 20.3.5 : With the option \tkzimp{with nodes})
\begin{tikzpicture}[scale=.5]
\tkzDefPoints{0/0/a,0/5/B,5/0/C}
\tkzDefPoint(54:5){F}
\tkzDrawCircle[color=gray](A,C)
\tkzInterCC[with nodes](A,A,C)(C,B,F)
\tkzGetPoints{a}{e}
\tkzInterCC(A,C)(a,e) \tkzGetFirstPoint{b}
\tkzInterCC(A,C)(b,a) \tkzGetFirstPoint{c}
\tkzInterCC(A,C)(c,b) \tkzGetFirstPoint{d}
\tkzDrawPoints(a,b,c,d,e)
\tkzDrawPolygon[color=red](a,b,c,d,e)
\foreach \vertex/\num in {a/36,b/108,c/180,
d/252,e/324}{%
\tkzDrawPoint(\vertex)
\tkzLabelPoint[label=\num:$\vertex$](\vertex){}
\tkzDrawSegment[color=gray,style=dashed](A,\vertex)
}
\end{tikzpicture}
\end{document}
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