mirror of
https://github.com/MartinThoma/LaTeX-examples.git
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85 lines
2.9 KiB
TeX
85 lines
2.9 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(5,0){B}
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\tkzDefPoint(0.5,3){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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% Mark angles
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% \tkzMarkAngle[arc=l,size=0.6cm,fill=green!30](B,A,C)
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% \tkzLabelAngle[pos=0.3](B,A,C){$\alpha$}
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% \tkzMarkAngle[arc=l,size=0.6cm,fill=red!30](C,B,A)
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% \tkzLabelAngle[pos=0.4](C,B,A){$\beta$}
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% \tkzMarkAngle[arc=l,size=0.6cm,fill=blue!30](A,C,B)
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% \tkzLabelAngle[pos=0.4](A,C,B){$\gamma$}
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% Label lines
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% \tkzLabelSegment[below](A,B){$c$}
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% \tkzLabelSegment[left](A,C){$b$}
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% \tkzLabelSegment[right](B,C){$a$}
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\tkzDefLine[orthogonal=through A,/tikz/overlay](B,C) \tkzGetPoint{helper}
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\tkzInterLL(B,C)(A,helper) \tkzGetPoint{La}
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\tkzDrawSegments[red](A,La)
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\tkzDefLine[orthogonal=through B,/tikz/overlay](A,C) \tkzGetPoint{helper}
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\tkzInterLL(A,C)(B,helper) \tkzGetPoint{Lb}
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\tkzDrawSegments[red](B,Lb)
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\tkzDefLine[orthogonal=through C,/tikz/overlay](A,B) \tkzGetPoint{helper}
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\tkzInterLL(A,B)(C,helper) \tkzGetPoint{Lc}
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\tkzDrawSegments[red](C,Lc)
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% next level
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\tkzDefLine[orthogonal=through La,/tikz/overlay](A,C) \tkzGetPoint{helper}
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\tkzInterLL(A,C)(La,helper) \tkzGetPoint{La1}
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\tkzDrawSegments[blue](La,La1)
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\tkzDefLine[orthogonal=through La,/tikz/overlay](A,B) \tkzGetPoint{helper}
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\tkzInterLL(A,B)(La,helper) \tkzGetPoint{La2}
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\tkzDrawSegments[blue](La,La2)
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\tkzDefLine[orthogonal=through Lb,/tikz/overlay](B,C) \tkzGetPoint{helper}
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\tkzInterLL(B,C)(Lb,helper) \tkzGetPoint{Lb1}
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\tkzDrawSegments[blue](Lb,Lb1)
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\tkzDefLine[orthogonal=through Lb,/tikz/overlay](B,A) \tkzGetPoint{helper}
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\tkzInterLL(B,A)(Lb,helper) \tkzGetPoint{Lb2}
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\tkzDrawSegments[blue](Lb,Lb2)
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\tkzDefLine[orthogonal=through Lc,/tikz/overlay](A,C) \tkzGetPoint{helper}
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\tkzInterLL(A,C)(Lc,helper) \tkzGetPoint{Lc1}
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\tkzDrawSegments[blue](Lc,Lc1)
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\tkzDefLine[orthogonal=through Lc,/tikz/overlay](B,C) \tkzGetPoint{helper}
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\tkzInterLL(B,C)(Lc,helper) \tkzGetPoint{Lc2}
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\tkzDrawSegments[blue](Lc,Lc2)
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\tkzCircumCenter(La1,La2,Lb1)\tkzGetPoint{T}
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\tkzDrawCircle(T,La1)
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\tkzDrawPoints[size=1, fill=black](La1, La2, Lb1, Lb2, Lc1, Lc2, T)
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\tkzLabelPoints[right](T)
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% Draw polygon
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\tkzDrawPolygon[thick](A,B,C)
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\end{tikzpicture}
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\end{preview}
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\end{document}
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