tex-projects/LaTeX-examples
2
0
Fork 0
mirror of https://github.com/MartinThoma/LaTeX-examples.git synced 2025-04-19 11:38:05 +02:00
Code Activity

Kleinigkeiten

Browse source
This commit is contained in:
Martin Thoma 2014-01-28 13:06:21 +01:00
parent 13867e1ba0
commit 75319441cf
5 changed files with 25 additions and 9 deletions
Download patch file Download diff file Expand all files Collapse all files

BIN
documents/GeoTopo/GeoTopo.pdf
View file

Binary file not shown.

2
documents/GeoTopo/Kapitel4.tex
View file

@ -973,7 +973,7 @@ $\overset{\text{Strahlensatz}}{\Rightarrow} \frac{a}{h_c} = \frac{c}{h_a} \right
\begin{align*}
2 d(z_2, z_1) &= \ln \DV(a_2, z_2, a_1, z_1)\\
&= \ln \DV(\infty, \iu b, 0, \iu a)\\
&\overset{\crefabbr{bem:15.4b.ii}}{=} \ln \DV(0, \iu b, \infty, \iu a)\\
&\overset{\mathclap{\crefabbr{bem:15.4b.ii}}}{=} \ln \DV(0, \iu b, \infty, \iu a)\\
&= 2 d(z_1, z_2)
\end{align*}

16
documents/GeoTopo/figures/inversion-am-kreis.tex
View file

@ -2,14 +2,22 @@
\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)
\pgfmathsetmacro{\Radius}{1}
\tkzDefPoints{0.9/0.7/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}
%%
\tkzDrawArc[R,line width=1pt,color=orange](O,\Radius 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){$-\frac{1}{z}$}
\tkzLabelPoint[left](dZ){$\frac{1}{\overline{z}} = \frac{1}{r} \cdot e^{-\iu \varphi}$}
\tkzLabelPoint[below left](ndZ){$-\frac{1}{\overline{z}}$}
\tkzDrawSegments[dashed](O,Z)
\tkzDrawSegments[dashed](O,ndZ)
\end{tikzpicture}

BIN
tikz/inversion-am-kreis/inversion-am-kreis.png
View file

Binary file not shown.
Side by side Swipe Overlay

Before

Width:  |  Height:  |  Size: 12 KiB

After

Width:  |  Height:  |  Size: 13 KiB

Before After
Before After

16
tikz/inversion-am-kreis/inversion-am-kreis.tex
View file

@ -8,14 +8,22 @@
\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)
\pgfmathsetmacro{\Radius}{1}
\tkzDefPoints{0.9/0.7/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}
%%
\tkzDrawArc[R,line width=1pt,color=orange](O,\Radius 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){$-\frac{1}{z}$}
\tkzLabelPoint[left](dZ){$\frac{1}{\overline{z}} = \frac{1}{r} \cdot e^{-\iu \varphi}$}
\tkzLabelPoint[below left](ndZ){$-\frac{1}{\overline{z}}$}
\tkzDrawSegments[dashed](O,Z)
\tkzDrawSegments[dashed](O,ndZ)
\end{tikzpicture}