mirror of
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53 lines
1.8 KiB
TeX
53 lines
1.8 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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\usetikzlibrary{shapes, calc, shapes,snakes}
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\usepackage{amsmath,amssymb}
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\begin{document}
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\begin{preview}
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\begin{tikzpicture}
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\newcommand\XC{4}
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\newcommand\ALPHA{30}
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\newcommand\XB{{(\XC*(cos(\ALPHA)*cos(\ALPHA) - sin(\ALPHA)*sin(\ALPHA)) + \XC)*0.5}}
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\newcommand\YB{{sqrt(cos(\ALPHA)*\XC*cos(\ALPHA)*\XC - (\XC*(cos(\ALPHA)*cos(\ALPHA) - sin(\ALPHA)*sin(\ALPHA)) + \XC)*0.5*(\XC*(cos(\ALPHA)*cos(\ALPHA) - sin(\ALPHA)*sin(\ALPHA)) + \XC)*0.5)}}
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% Draw the triangle
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\draw[fill=gray!10] (0, 0) coordinate (A)
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-- (\XB,\YB) coordinate (C)
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-- (\XC, 0) coordinate (B)
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-- (0, 0);
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% Draw nodes
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\node at (A)[anchor=north] {A};
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\node at (B)[anchor=north] {B};
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\node at (C)[anchor=south] {C};
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% Draw edge text
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\node (c) at ($(A)!0.50!(B)$) [below,font=\tiny] {Hypotenuse};
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\node (b) at ($(A)!0.50!(C)$) [above,rotate=\ALPHA,font=\tiny]
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{Ankathete zu Winkel $\alpha$};
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\node (a) at ($(B)!0.35!(C)$) [above,rotate={\ALPHA-90},font=\tiny]
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{\parbox{2cm}{Gegenkathete\\ zu Winkel $\alpha$}};
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% draw alpha
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\draw[fill=green!30] (0,0) -- (0:0.75cm) arc (0:\ALPHA:.75cm);
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\coordinate[label=right:$\alpha$] (Alpha) at (0.25,0.15);
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% draw beta
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\begin{scope}[shift={(\XC, 0)}]
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\draw[fill=red!30] (0,0) -- (-180:0.50cm) arc (180:{180-(90-\ALPHA)}:0.5cm);
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\draw (150:0.35cm) node {$\beta$};
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\end{scope}
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% draw gamma
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\begin{scope}[shift={(\XB, \YB)}]
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\draw[fill=blue!30] (0,0) -- ({180+\ALPHA}:0.5cm) arc ({180+\ALPHA}:{180+\ALPHA+90}:0.5cm);
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\draw (-0.1, -0.05) node[below] {$\gamma$};
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\end{scope}
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\end{tikzpicture}
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\end{preview}
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\end{document}
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