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47 lines
1.6 KiB
TeX
47 lines
1.6 KiB
TeX
\documentclass[varwidth=true, border=2pt]{standalone}
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\usepackage{tkz-euclide}
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\usepackage{tikz}
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\usetikzlibrary{patterns}
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\begin{document}
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\usetkzobj{all}
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\begin{tikzpicture}
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\tkzSetUpPoint[shape=circle,size=10,color=black,fill=black]
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\tkzSetUpLine[line width=1]
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\tkzDefPoints{0/0/A, 4/0/B, 3/3/C}
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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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\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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\tkzInterLL(A,La)(C,Lc) \tkzGetPoint{orthocenter}
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\tkzMarkAngle[arc=l,size=1.0cm,color=red,fill=red!20](B,A,La)
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\tkzLabelAngle[pos=0.8](B,A,La){$\alpha$}
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\tkzMarkAngle[arc=l,size=1.0cm,color=red,fill=red!20](Lc,C,B)
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\tkzLabelAngle[pos=0.8](Lc,C,B){$\alpha$}
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\tkzMarkAngle[arc=ll,size=0.6cm,color=green,fill=green!20](A,orthocenter,Lc)
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\tkzLabelAngle[pos=0.4](A,orthocenter,Lc){$\gamma$}
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\tkzMarkAngle[arc=ll,size=0.4cm,color=green,fill=green!20](La,orthocenter,C)
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\tkzLabelAngle[pos=0.2](La,orthocenter,C){$\gamma$}
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\tkzDrawPolygon(A,B,C)
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\node at ($(A)+(-0.47,-0.2)$){$A$};
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\node at ($(B)+(0.35,-0.2)$) {$B$}; % \tkzLabelPoint[below](B){$B$} is not accurate enough
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\node at ($(C)+(0.05,0.3)$) {$C$};
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\node at ($(La)+(0.25,0.1)$) {$L_A$};
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\node at ($(Lc)+(0,-0.25)$) {$L_C$};
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\tkzDrawSegment(C,Lc)
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\tkzDrawSegments(A,La)
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\tkzDrawPolygon[pattern=north east lines](A,B,La)
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\tkzDrawPolygon[pattern=north west lines](Lc,B,C)
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\tkzDrawPoints(A,B,C,La,Lc)
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%\tkzLabelSegment[pos=0.7,below](A,B){$c$}
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\end{tikzpicture}
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\end{document}
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