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Textsetzung, kleine Fehler und Verbesserung eines Bildes

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Martin Thoma 2014-02-08 21:23:01 +01:00
parent 94189c42f7
commit d4e01e66b3
12 changed files with 44 additions and 46 deletions
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16
documents/GeoTopo/figures/inversion-am-kreis.tex
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@ -3,24 +3,22 @@
\tkzSetUpLine[line width=1]
\tkzInit[xmax=1.2,ymax=1,xmin=-1.2,ymin=0]
\pgfmathsetmacro{\Radius}{1}
\tkzDefPoints{2.0/1.0/Z, 0/0/O, 0/1/i}
\tkzDefPoints{2.0/1.5/Z, 0/0/O, 0/1/i}
%% Konstruktion von 1/ \overline{z} und -1/ \overline{z}
\tkzTangent[from with R = Z,/tikz/overlay](O,\Radius cm) \tkzGetPoints{T1}{T2}
\tkzInterLL(T1,T2)(O,Z) \tkzGetPoint{dZ}
\tkzDefPointBy[reflection = over O--i](dZ) \tkzGetPoint{ndZ}
\tkzDefPointBy[symmetry = center O](dZ) \tkzGetPoint{other}
%%
\tkzDrawArc[R,line width=1pt,color=orange](O,\Radius cm)(0,180)
\tkzMarkAngle[size=1mm](Z,dZ,T1)
\tkzLabelAngle[pos=0.06](Z,dZ,T1){$\cdot$}
\tkzAxeXY
\tkzDrawPoints(Z, dZ, ndZ, other)
\tkzLabelPoint[left](Z){$z = r \cdot e^{\iu \varphi}$}
\tkzLabelPoint[below](other){$-\frac{1}{\overline{z}}$}
\tkzDrawPoints(Z, dZ, T1)
\tkzLabelPoint[above left](Z){$z = r \cdot e^{\iu \varphi}$}
\tkzLabelPoint[below right](dZ){$\frac{1}{\overline{z}} = \frac{1}{r} \cdot e^{\iu \varphi}$}
\tkzLabelPoint[above left](ndZ){?}
\tkzDrawSegments[dashed](O,Z)
\tkzDrawSegments[dashed](O,ndZ)
\tkzDrawSegments[dashed](O,other)
\tkzDrawLine[dashed, add=0 and 0.5](Z,T1)
\tkzDrawSegments[dashed](T1,dZ)
\end{tikzpicture}