mirror of
https://github.com/MartinThoma/LaTeX-examples.git
synced 2025-04-18 19:18:21 +02:00
The commands find . -type f -name '*.md' -exec sed --in-place 's/[[:space:]]\+$//' {} \+ and find . -type f -name '*.tex' -exec sed --in-place 's/[[:space:]]\+$//' {} \+ were used to do so.
43 lines
1.6 KiB
TeX
43 lines
1.6 KiB
TeX
\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/O, 1/0/X, 0/1/Y, 2/1/P, 3/3/Q}
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\tkzDrawLine[add=3 and 2.2](O,X)
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\tkzLabelLine[below,pos=3](O,X){$g_1$}
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\tkzLabelLine[left,pos=3](O,Y){$g_2$}
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\tkzDrawLine[add=3 and 2.2](O,Y)
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\tkzDefLine[orthogonal=through P,/tikz/overlay](O,X) \tkzGetPoint{helper}
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\tkzInterLL(O,X)(P,helper) \tkzGetPoint{xp}
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\draw [decorate,decoration={brace,amplitude=4pt,mirror}]
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(O) -- (xp) node [black,midway,xshift=0cm, yshift=-0.3cm]
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{\footnotesize $x_P$};
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\tkzDefLine[orthogonal=through P,/tikz/overlay](O,Y) \tkzGetPoint{helper}
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\tkzInterLL(O,Y)(P,helper) \tkzGetPoint{yp}
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\draw [decorate,decoration={brace,amplitude=4pt}]
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(O) -- (yp) node [black,midway,xshift=-0.4cm]
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{\footnotesize $y_P$};
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\tkzDrawPolygon(O,xp,P,yp)
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\tkzDefLine[orthogonal=through Q,/tikz/overlay](O,X) \tkzGetPoint{helper}
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\tkzInterLL(O,X)(Q,helper) \tkzGetPoint{xq}
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\tkzDefLine[orthogonal=through Q,/tikz/overlay](O,Y) \tkzGetPoint{helper}
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\tkzInterLL(O,Y)(Q,helper) \tkzGetPoint{yq}
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\tkzInterLL(yp,P)(Q,xq) \tkzGetPoint{qxp}
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\tkzInterLL(xp,P)(Q,yq) \tkzGetPoint{R}
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\tkzDrawPolygon(O,xq,Q,yq)
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\tkzDrawSegments[green](xp,xq R,Q)
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\tkzDrawSegments[very thick,orange](yp,yq P,R)
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\tkzLabelPoint[above right](P){$P$}
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\tkzLabelPoint[above right](Q){$Q$}
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\tkzLabelPoint[below left](O){$0$}
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\tkzLabelPoint[above](R){$R$}
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\node at ($(-2,2)$){$X$};
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\tkzDrawPoints(P,Q,R)
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\end{tikzpicture}
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