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49 lines
1.6 KiB
TeX
49 lines
1.6 KiB
TeX
\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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\begin{document}
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\begin{preview}
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\begin{tikzpicture}[very thick,font=\sansmath\sffamily]
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\tkzDefPoint(0,0){A}
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\tkzDefPoint(6,0){B}
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\tkzDefPoint(1,4){C}
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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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% Draw polygon
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\tkzDrawPolygon[thick,fill=gray!10](A,B,C)
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% Draw polygon
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\tkzDrawPolygon[thick](A,B,C)
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\tkzDefCircle[in,/tikz/overlay](A,B,C) \tkzGetPoint{M}\tkzGetLength{dOcircle}
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\tkzDrawCircle[R,color=blue](M,\dOcircle pt)
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\tkzInterLC[R,/tikz/overlay](B,C)(M,\dOcircle pt)\tkzGetPoints{X}{X2}
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\tkzInterLC[R,/tikz/overlay](A,C)(M,\dOcircle pt)\tkzGetPoints{Y}{Y2}
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\tkzInterLC[R,/tikz/overlay](A,B)(M,\dOcircle pt)\tkzGetPoints{Z}{Z2}
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\tkzInterLL(A,X)(B,Y)\tkzGetPoint{G}
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\tkzDrawSegments[dashed](A,X B,Y C,Z)
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\tkzDrawPoints[size=2,fill=black](X,Y,Z)
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\tkzDrawPoints[size=2,fill=red,color=red](G)
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\tkzDrawPoints[size=2,fill=blue,color=blue](M)
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\tkzLabelPoints[above right,font=\sansmath\sffamily](X)
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\tkzLabelPoints[left,font=\sansmath\sffamily](Y)
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\tkzLabelPoints[below,font=\sansmath\sffamily](Z)
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\tkzLabelPoints[blue,above right,font=\sansmath\sffamily](M)
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\tkzLabelPoints[red,above left,font=\sansmath\sffamily](G)
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\end{tikzpicture}
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\end{preview}
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\end{document}
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