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Bilder geTikZ't

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Martin Thoma 2014-01-14 13:41:12 +01:00
parent 743089ffff
commit 84d7dfd97d
15 changed files with 152 additions and 7 deletions
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1
documents/GeoTopo/Arbeitszeit.md
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@ -29,3 +29,4 @@ in dem Erstellen dieses Skripts steckt:
|12.01.2014 | 23:30 - 00:00 | Gruppenaktion -> Gruppenoperation; Projektiver Raum zu Index hinzugefügt
|13.01.2014 | 19:00 - 00:00 | TODOs erledigen; Tippfehler korrigieren
|14.01.2014 | 11:15 - 12:45 | Digitalisieren der Vorlesung von 14.01.2014
|14.01.2014 | 12:45 - 12:40 | TikZ'en der Bilder aus Vorlesung von 14.01.2014

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documents/GeoTopo/GeoTopo.pdf
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documents/GeoTopo/Kapitel4.tex
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@ -207,11 +207,11 @@ aufgestellt.
Ist $R \in AB$, so enthält $AB$ 2 Fixpunkte von $\varphi$
$\stackrel{Beh.~2'}{\Rightarrow} \varphi(A) = A$.
\begin{figure}
\begin{figure}[H]
\centering
\includegraphics[width=0.5\linewidth, keepaspectratio]{figures/todo/bild-1.jpg}
\caption{TODO}.
\label{fig:bild-1}
\input{figures/geometry-1.tex}
\caption{$P, Q, R$ sind Fixpunke, $B \in \overline{PQ} \setminus \Set{P,Q}$, $A \notin PQ \cup PR \cup QR$}
\label{fig:geometry-1}
\end{figure}
Ist $R \notin AB$, so ist $AB \cap \overline{PR} \neq \emptyset$
@ -240,9 +240,9 @@ aufgestellt.
\begin{figure}
\centering
\includegraphics[width=0.5\linewidth, keepaspectratio]{figures/todo/bild-2.jpg}
\caption{Die beiden roten und die beiden blauen Linien sind gleich. Intuitiv weiß man, dass daraus folgt, dass $\varphi_1(R) = \varphi_2(R)$ gilt.}.
\label{fig:bild-1}
\input{figures/geometry-2.tex}
\caption{Die beiden roten und die beiden blauen Linien sind gleich lang. Intuitiv weiß man, dass daraus folgt, dass $\varphi_1(R) = \varphi_2(R)$ gilt.}.
\label{fig:bild-2}
\end{figure}
\end{beweis}

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documents/GeoTopo/figures/geometry-1.tex Normal file
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\begin{tikzpicture}
\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
\node (P)[point,label={[label distance=0cm]210:$P$}] at (0,0) {};
\node (B)[point,label={[label distance=0cm]-90:$B$}] at (2.5,0) {};
\node (Q)[point,label={[label distance=0cm]-90:$Q$}] at (4,0) {};
\node (C)[point,label={[label distance=0cm]90:$C$}] at (1.5,1.5) {};
\node (R)[point,label={[label distance=0cm]90:$R$}] at (2.5,2.5) {};
\node (A)[point,label={[label distance=0cm]0:$A$}] at (0.5,3) {};
\draw[very thick] (P) edge node {} (B);
\draw[very thick] (B) edge node {} (Q);
\draw[very thick] (P) edge node {} (C);
\draw[very thick] (C) edge node {} (R);
\draw[very thick] (B) edge node {} (C);
\draw[very thick] (C) edge node {} (A);
\draw[very thick] (Q) edge node {} (R);
\end{tikzpicture}

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documents/GeoTopo/figures/geometry-2.tex Normal file
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@ -0,0 +1,13 @@
\begin{tikzpicture}
\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
\node (P)[point,label={[label distance=0cm]-90:$P$}] at (0,0) {};
\node (Q)[point,label={[label distance=0cm]-90:$Q$}] at (5,1) {};
\node (A)[point,label={[label distance=0cm]180:$\varphi_1(R)$}] at (2,2) {};
\node (B)[point,label={[label distance=0cm]190:$\varphi_2(R)$}] at (1,3) {};
\draw[very thick] (P) edge node {} (Q);
\draw[very thick, red] (P) edge node {} (A);
\draw[very thick, red] (P) edge node {} (B);
\draw[very thick, green] (Q) edge node {} (A);
\draw[very thick, green] (Q) edge node {} (B);
\end{tikzpicture}

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tikz/geometry-1/Makefile Normal file
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@ -0,0 +1,31 @@
SOURCE = geometry-1
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

3
tikz/geometry-1/Readme.md Normal file
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@ -0,0 +1,3 @@
Compiled example
----------------
![Example](geometry-1.png)

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tikz/geometry-1/geometry-1.tex Normal file
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@ -0,0 +1,25 @@
\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
\node (P)[point,label={[label distance=0cm]210:$P$}] at (0,0) {};
\node (B)[point,label={[label distance=0cm]-90:$B$}] at (2.5,0) {};
\node (Q)[point,label={[label distance=0cm]-90:$Q$}] at (4,0) {};
\node (C)[point,label={[label distance=0cm]90:$C$}] at (1.5,1.5) {};
\node (R)[point,label={[label distance=0cm]90:$R$}] at (2.5,2.5) {};
\node (A)[point,label={[label distance=0cm]0:$A$}] at (0.5,3) {};
\draw[very thick] (P) edge node {} (B);
\draw[very thick] (B) edge node {} (Q);
\draw[very thick] (P) edge node {} (C);
\draw[very thick] (C) edge node {} (R);
\draw[very thick] (B) edge node {} (C);
\draw[very thick] (C) edge node {} (A);
\draw[very thick] (Q) edge node {} (R);
\end{tikzpicture}
\end{document}

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tikz/geometry-2/Makefile Normal file
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@ -0,0 +1,31 @@
SOURCE = geometry-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/geometry-2/Readme.md Normal file
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@ -0,0 +1,3 @@
Compiled example
----------------
![Example](geometry-2.png)

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tikz/geometry-2/geometry-2.tex Normal file
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@ -0,0 +1,18 @@
\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
\node (P)[point,label={[label distance=0cm]-90:$P$}] at (0,0) {};
\node (Q)[point,label={[label distance=0cm]-90:$Q$}] at (5,1) {};
\node (A)[point,label={[label distance=0cm]180:$\varphi_1(R)$}] at (2,2) {};
\node (B)[point,label={[label distance=0cm]190:$\varphi_2(R)$}] at (1,3) {};
\draw[very thick] (P) edge node {} (Q);
\draw[very thick, red] (P) edge node {} (A);
\draw[very thick, red] (P) edge node {} (B);
\draw[very thick, green] (Q) edge node {} (A);
\draw[very thick, green] (Q) edge node {} (B);
\end{tikzpicture}
\end{document}