mirror of
https://github.com/MartinThoma/LaTeX-examples.git
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52 lines
1.8 KiB
TeX
52 lines
1.8 KiB
TeX
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\newcommand\markangle[6]{% origin X Y radius radiusmark mark
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% fill red circle
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\begin{scope}
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\path[clip] (#1) -- (#2) -- (#3);
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\fill[color=red,fill opacity=0.5,draw=red,name path=circle]
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(#1) circle (#4);
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\end{scope}
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% middle calculation
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\path[name path=line one] (#1) -- (#2);
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\path[name path=line two] (#1) -- (#3);
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\path[%
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name intersections={of=line one and circle, by={inter one}},
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name intersections={of=line two and circle, by={inter two}}
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] (inter one) -- (inter two) coordinate[pos=.5] (middle);
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% put mark
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\node at ($(#1)!#5!(middle)$) {#6};
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}
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\begin{tikzpicture}
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\newcommand{\R}{2}
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\draw (0,0) circle (\R);
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\draw[->, thick] ({-(\R+0.2)},0) -- ({\R+0.2},0);
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\draw[->, thick] (0,{-(\R+0.2)}) -- (0,{\R+0.2});
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\draw[thick] (\R,-0.06) -- (\R,0.06) node[label=below:$1$] {};
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\draw[thick] (-0.06,\R) -- (0.06,\R) node[label=left:$i$] {};
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\draw (0,0) -- ({\R*cos(30)},{\R*sin(30)}) node[label=15:$z$] {};
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\draw (0,0) -- ({\R*cos(60)},{\R*sin(60)}) node[label=35:$z^2$] {};
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\coordinate (O) at (0,0);
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\coordinate (X) at (1,0);
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\coordinate (Y) at ({\R*cos(30)},{\R*sin(30)});
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\coordinate (Z) at ({\R*cos(60)},{\R*sin(60)});
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\markangle{O}{Y}{Z}{10mm}{7mm}{$\varphi$}
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\markangle{O}{X}{Y}{10mm}{7mm}{$\varphi$}
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\begin{scope}[xshift=4cm, yshift=-1.2cm]
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\draw (0,0) circle (\R/2);
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\newcommand{\x}{1}
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\draw [red,thick,domain=-30:30] plot ({cos(\x)}, {sin(\x)});
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\draw [red,thick,domain=210:150] plot ({cos(\x)}, {sin(\x)});
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\end{scope}
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\begin{scope}[xshift=4cm, yshift=+1.2cm]
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\draw (0,0) circle (\R/2);
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\newcommand{\x}{1}
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\draw [red,thick,domain=-30:30] plot ({cos(\x)}, {sin(\x)});
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\end{scope}
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\coordinate (T) at (5.5,1);
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\path[->] (5.5,-1) edge[bend right] node[label=right:$z^2$] {} (T);
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\end{tikzpicture}
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