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+\documentclass{article}
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+\usepackage[pdftex,active,tightpage]{preview}
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+\setlength\PreviewBorder{2mm}
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+\usepackage{tikz}
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+\usepackage{tkz-euclide}
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+\usetkzobj{all}
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+\usetikzlibrary{shapes, calc, decorations}
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+\usepackage{amsmath,amssymb}
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+\usepackage{helvet}
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+\usepackage[eulergreek]{sansmath}
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+
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+\begin{document}
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+\begin{preview}
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+\begin{tikzpicture}[very thick,font=\sansmath\sffamily]
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+ \tkzDefPoint(0,1){A}
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+ \tkzDefPoint(4,0){B}
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+ \tkzDefPoint(3,6){C}
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+
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+ \tkzLabelPoints[below left,font=\sansmath\sffamily](A)
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+ \tkzLabelPoints[below right,font=\sansmath\sffamily](B)
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+ \tkzLabelPoints[above,font=\sansmath\sffamily](C)
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+
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+ % Draw polygon
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+ \tkzDrawPolygon[thick,fill=gray!10](A,B,C)
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+
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+ % Get mid points
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+ \tkzDefMidPoint(A,B) \tkzGetPoint{F}
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+ \tkzDefMidPoint(A,C) \tkzGetPoint{E}
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+ \tkzDefMidPoint(B,C) \tkzGetPoint{D}
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+
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+ \tkzDefCircle[circum,/tikz/overlay](D,E,F)\tkzGetPoint{Icircle}\tkzGetLength{rIN}
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+ \tkzDrawCircle[R](Icircle,\rIN pt)
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+
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+ % Get 'Hoehe'
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+ \tkzInterLC[/tikz/overlay](B,C)(A,B)\tkzGetPoints{hah1}{hah2}
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+ \tkzDefMidPoint(hah1,hah2) \tkzGetPoint{G}
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+
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+ \tkzInterLC[/tikz/overlay](A,B)(C,A)\tkzGetPoints{hch1}{hch2}
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+ \tkzDefMidPoint(hch1,hch2) \tkzGetPoint{H}
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+
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+ \tkzInterLC[/tikz/overlay](A,C)(B,A)\tkzGetPoints{hbh1}{hbh2}
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+ \tkzDefMidPoint(hbh1,hbh2) \tkzGetPoint{I}
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+
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+ % 'Hoehenschnittpunkt'
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+ \tkzInterLL(A,G)(C,H)\tkzGetPoint{S}
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+
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+ % More points
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+ \tkzInterLC[/tikz/overlay,R](A,G)(Icircle,\rIN pt)\tkzGetPoints{G}{J}
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+ \tkzInterLC[/tikz/overlay,R](B,I)(Icircle,\rIN pt)\tkzGetPoints{L}{I}
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+ \tkzInterLC[/tikz/overlay,R](C,H)(Icircle,\rIN pt)\tkzGetPoints{H}{K}
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+
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+ % Draw polygon
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+ \tkzDrawPolygon[thick](A,B,C)
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+ \tkzDefCircle[circum,/tikz/overlay](A,B,C) \tkzGetPoint{Ocircle}
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+ \tkzDrawCircle(Ocircle,A)
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+ \tkzCalcLength(Ocircle,A) \tkzGetLength{dOcircle}
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+
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+ % TODO: define shiftedOcircOrigin which is
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+ % Ocircle, but shifted by dOcircle (x-axis)
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+ \tkzDefShiftPoint[Ocircle](\dOcircle pt,0){C'}
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+ \tkzDrawSegments[dashed](Ocircle,C')
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+ \tkzLabelSegment[below](Ocircle,C'){$r_1$}
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+
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+ % TODO: define shiftedIcircOrigin which is
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+ % Icircle, but shifted by rIN (x-axis)
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+ \tkzDefShiftPoint[Icircle](\rIN pt,0){C''}
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+ \tkzDrawSegments[dashed](Icircle,C'')
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+ \tkzLabelSegment[below](Icircle,C''){$r_2$}
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+
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+ \tkzDrawPoints[size=2,fill=black](D,E,F,Icircle,Ocircle)
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+\end{tikzpicture}
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+\end{preview}
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+\end{document}
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