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LaTeX-examples/documents/GeoTopo/figures/inversion-am-kreis.tex
2014-01-25 12:40:32 +01:00

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\begin{tikzpicture}[scale=3]
\tkzSetUpPoint[shape=circle,size=3,color=black,fill=black]
\tkzSetUpLine[line width=1]
\tkzInit[xmax=1.2,ymax=1,xmin=-1.2,ymin=0]
\tkzDefPoints{1/1/Z,0.5/0.5/dZ,-0.5/0.5/ndZ,0/0/O}
\tkzDrawArc[R,line width=1pt,color=orange](O,1 cm)(0,180)
\tkzAxeXY
\tkzDrawPoints(Z, dZ, ndZ)
\tkzLabelPoint[right](Z){$Z = r \cdot e^{\iu \varphi}$}
\tkzLabelPoint[below right](dZ){$\frac{1}{z} = \frac{1}{r} \cdot e^{-\iu \varphi}$}
\tkzLabelPoint[below left](ndZ){$-\frac{1}{z}$}
\tkzDrawSegments[dashed](O,Z)
\tkzDrawSegments[dashed](O,ndZ)
\end{tikzpicture}