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TikZ'en eines Bildes

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Martin Thoma 2014-01-22 06:36:04 +01:00
parent bb25e0cfdd
commit 83aed01130
8 changed files with 114 additions and 2 deletions
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1
documents/GeoTopo/Arbeitszeit.md
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@ -38,3 +38,4 @@ in dem Erstellen dieses Skripts steckt:
|18.01.2014 | 14:15 - 14:30 | Neuer Korollar; Tippfehler verbessert
|20.01.2014 | 20:00 - 20:15 | TikZ'en eines Bildes
|21.01.2014 | 19:30 - 21:30 | Digitalisieren der Vorlesung von 21.01.2014
|22.01.2014 | 06:00 - 06:30 | TikZ'en eines Bildes

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documents/GeoTopo/GeoTopo.pdf
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documents/GeoTopo/Kapitel4.tex
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@ -568,11 +568,18 @@ Sei im Folgenden \enquote{IWS} die \enquote{Innenwinkelsumme}.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Mitschrieb vom 21.01.2014 %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{bemerkung}%In Vorlesung: Bemerkung 14.12
\begin{bemerkung}\label{bem:14.12}%In Vorlesung: Bemerkung 14.12
In einer euklidischen Ebene ist in jedem Dreieck die Innenwinkelsumme
gleich $\pi$.
\end{bemerkung}
\todo[inline]{Bild 1}
\begin{figure}
\centering
\input{figures/triangle-2.tex}
\caption{Situation aus \cref{bem:14.12}}
\label{fig:14.12}
\end{figure}
\begin{beweis}
Sei $g$ eine Parallele von $AB$ durch $C$.

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documents/GeoTopo/figures/triangle-2.tex Normal file
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\begin{tikzpicture}
\tkzSetUpPoint[shape=circle,size=10,color=black,fill=black]
\tkzSetUpLine[line width=1]
\tkzDefPoints{0/0/A, 3/0/B, 2/2/C}
\tkzDefPoints{0/2/Phelper, 1.75/2.5/PaboveLeft, 2.5/2.5/PaboveRight}
\tkzMarkAngle[arc=l,size=0.7cm,color=red,fill=red!20](B,A,C)
\tkzMarkAngle[arc=ll,size=0.7cm,color=orange,fill=orange!20](C,B,A)
\tkzMarkAngle[arc=lll,size=0.7cm,color=green,fill=green!20](A,C,B)
\tkzMarkAngle[arc=l,size=0.7cm,color=red,fill=red!20](Phelper,C,A)
\tkzMarkAngle[arc=ll,size=0.7cm,color=orange,fill=orange!20](PaboveLeft,C,Phelper)
\tkzDefLine[parallel=through C](A,B) \tkzGetPoint{Phelper2}
\tkzMarkAngle[arc=l,size=0.7cm,color=red,fill=red!20](Phelper2,C,PaboveRight)
\tkzLabelAngle[pos=0.4](Phelper2,C,PaboveRight){$\alpha$}
\tkzLabelAngle[pos=-0.4](Phelper,C,A){$\alpha''$}
\tkzLabelAngle[pos=0.4](B,A,C){$\alpha$}
\tkzLabelAngle[pos=0.4](C,B,A){$\beta$}
\tkzLabelAngle[pos=0.4](PaboveLeft,C,Phelper){$\beta$}
\tkzLabelAngle[pos=0.4](A,C,B){$\gamma$}
\tkzDrawLine(A,B)
\tkzDrawLine[add=0.2 and 0.4](A,C)
\tkzDrawLine[add=0.2 and 0.4](B,C)
\node at ($(A)+(-0.47,-0.2)$) {$A$};
\node at ($(B)+(0.35,-0.2)$) {$B$}; % \tkzLabelPoint[below](B){$B$} is not accurate enough
\node at ($(C)+(0.05,0.3)$) {$C$};
\tkzDrawLine[add=0.6 and -0.1](C, Phelper2)
%\tkzMark[mark=||](C, PaboveRight)
%\tkzLabelLine[pos=0.8,below](A,B){$c$}
\tkzDrawPoints(A,B,C)
\tkzLabelSegment[pos=0.7,below](C,Phelper2){$g$}
\tkzMarkSegments[mark=||](A,B C,Phelper2)
\end{tikzpicture}

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tikz/triangle-2/Makefile Normal file
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SOURCE = triangle-2
DELAY = 80
DENSITY = 300
WIDTH = 512
make:
pdflatex $(SOURCE).tex -output-format=pdf
make clean
clean:
rm -rf $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot
gif:
pdfcrop $(SOURCE).pdf
convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
make clean
png:
make
make svg
inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
transparentGif:
convert $(SOURCE).pdf -transparent white result.gif
make clean
svg:
#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
pdf2svg $(SOURCE).pdf $(SOURCE).svg
# Necessary, as pdf2svg does not always create valid svgs:
inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg

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tikz/triangle-2/Readme.md Normal file
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Compiled example
----------------
![Example](triangle-2.png)

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tikz/triangle-2/triangle-2.tex Normal file
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\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{tkz-euclide}
\begin{document}
\usetkzobj{all}
\begin{tikzpicture}
\tkzSetUpPoint[shape=circle,size=10,color=black,fill=black]
\tkzSetUpLine[line width=1]
\tkzDefPoints{0/0/A, 3/0/B, 2/2/C}
\tkzDefPoints{0/2/Phelper, 1.75/2.5/PaboveLeft, 2.5/2.5/PaboveRight}
\tkzMarkAngle[arc=l,size=0.7cm,color=red,fill=red!20](B,A,C)
\tkzMarkAngle[arc=ll,size=0.7cm,color=orange,fill=orange!20](C,B,A)
\tkzMarkAngle[arc=lll,size=0.7cm,color=green,fill=green!20](A,C,B)
\tkzMarkAngle[arc=l,size=0.7cm,color=red,fill=red!20](Phelper,C,A)
\tkzMarkAngle[arc=ll,size=0.7cm,color=orange,fill=orange!20](PaboveLeft,C,Phelper)
\tkzDefLine[parallel=through C](A,B) \tkzGetPoint{Phelper2}
\tkzMarkAngle[arc=l,size=0.7cm,color=red,fill=red!20](Phelper2,C,PaboveRight)
\tkzLabelAngle[pos=0.4](Phelper2,C,PaboveRight){$\alpha$}
\tkzLabelAngle[pos=-0.4](Phelper,C,A){$\alpha''$}
\tkzLabelAngle[pos=0.4](B,A,C){$\alpha$}
\tkzLabelAngle[pos=0.4](C,B,A){$\beta$}
\tkzLabelAngle[pos=0.4](PaboveLeft,C,Phelper){$\beta$}
\tkzLabelAngle[pos=0.4](A,C,B){$\gamma$}
\tkzDrawLine(A,B)
\tkzDrawLine[add=0.2 and 0.4](A,C)
\tkzDrawLine[add=0.2 and 0.4](B,C)
\node at ($(A)+(-0.47,-0.2)$) {$A$};
\node at ($(B)+(0.35,-0.2)$) {$B$}; % \tkzLabelPoint[below](B){$B$} is not accurate enough
\node at ($(C)+(0.05,0.3)$) {$C$};
\tkzDrawLine[add=0.6 and -0.1](C, Phelper2)
%\tkzMark[mark=||](C, PaboveRight)
%\tkzLabelLine[pos=0.8,below](A,B){$c$}
\tkzDrawPoints(A,B,C)
\tkzLabelSegment[pos=0.7,below](C,Phelper2){$g$}
\tkzMarkSegments[mark=||](A,B C,Phelper2)
\end{tikzpicture}
\end{document}