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TikZ'en von Bildern

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Martin Thoma 2014-01-23 12:12:01 +01:00
parent 8a429a6044
commit 69b20a3872
28 changed files with 468 additions and 9 deletions
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3
documents/GeoTopo/Arbeitszeit.md
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@ -40,4 +40,5 @@ in dem Erstellen dieses Skripts steckt:
|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
|22.01.2014 | 07:15 - 07:35 | TikZ'en eines Bildes
|22.01.2014 | 00:00 - 10:00 | TikZ'en eines Bildes und Bemerkungen
|23.01.2014 | 09:00 - 10:00 | TikZ'en eines Bildes und Bemerkungen
|23.01.2014 | 10:30 - 12:15 | TikZ'en von Bildern

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documents/GeoTopo/GeoTopo.pdf
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documents/GeoTopo/Kapitel4.tex
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@ -664,11 +664,11 @@ $\overset{\text{Strahlensatz}}{\Rightarrow} \frac{a}{h_c} = \frac{c}{h_a} \right
\begin{figure}[ht]
\centering
\subfloat[$a,b$ sind Katheten und $c$ ist die Hypothenuse]{
\input{figures/todo.tex}
\input{figures/pythagoras.tex}
\label{fig:pythagoras-bezeichnungen}
}%
\subfloat[Beweisskizze]{
\input{figures/todo.tex}
\input{figures/pythagoras-2.tex}
\label{fig:bild-5}
}%
\label{fig:flaechengleichheit}
@ -699,12 +699,12 @@ $\overset{\text{Strahlensatz}}{\Rightarrow} \frac{a}{h_c} = \frac{c}{h_a} \right
\begin{figure}[ht]
\centering
\subfloat[Schritt 1 (Bild 10)]{
\input{figures/todo.tex}
\subfloat[Schritt 1]{
\input{figures/coordinate-system-1.tex}
\label{fig:14.13.1}
}%
\subfloat[Schritt 2 (Bild 11)]{
\input{figures/todo.tex}
\subfloat[Schritt 2]{
\input{figures/coordinate-system-2.tex}
\label{fig:14.13.2}
}%
\label{fig:14.13.0.1}
@ -729,8 +729,8 @@ $\overset{\text{Strahlensatz}}{\Rightarrow} \frac{a}{h_c} = \frac{c}{h_a} \right
\begin{beweis}[von 2]
\begin{figure}[ht]
\centering
\subfloat[Schritt 1 (Bild 12)]{
\input{figures/todo.tex}
\subfloat[Schritt 1]{
\input{figures/coordinate-system-2.tex}
\label{fig:14.13.3}
}%
\subfloat[Schritt 2 (Bild 13)]{

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documents/GeoTopo/figures/coordinate-system-1.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/O, 1/0/X, 0/1/Y, 2/1/P}
\tkzDrawLine[add=3 and 2](O,X)
\tkzLabelLine[below,pos=3](O,X){$g_1$}
\tkzLabelLine[right,pos=3](O,Y){$g_2$}
\tkzDrawLine[add=3 and 2](O,Y)
\tkzLabelPoint(P){$P$}
\node at ($(-2,2)$){$X$};
\tkzDrawPoints(P)
\end{tikzpicture}

28
documents/GeoTopo/figures/coordinate-system-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/O, 1/0/X, 0/1/Y, 2/1/P}
\tkzDrawLine[add=3 and 2](O,X)
\tkzLabelLine[below,pos=3](O,X){$g_1$}
\tkzLabelLine[right,pos=3](O,Y){$g_2$}
\tkzDrawLine[add=3 and 2](O,Y)
\tkzDefLine[orthogonal=through P,/tikz/overlay](O,X) \tkzGetPoint{helper}
\tkzInterLL(O,X)(P,helper) \tkzGetPoint{xp}
\draw [decorate,decoration={brace,amplitude=4pt,mirror}]
(O) -- (xp) node [black,midway,xshift=0cm, yshift=-0.3cm]
{\footnotesize $x_P$};
\tkzDefLine[orthogonal=through P,/tikz/overlay](O,Y) \tkzGetPoint{helper}
\tkzInterLL(O,Y)(P,helper) \tkzGetPoint{yp}
\draw [decorate,decoration={brace,amplitude=4pt}]
(O) -- (yp) node [black,midway,xshift=-0.4cm]
{\footnotesize $y_P$};
\tkzDrawPolygon(O,xp,P,yp)
\tkzLabelPoint[above right](P){$P$}
\tkzLabelPoint[below left](O){$0$}
\node at ($(-2,2)$){$X$};
\tkzDrawPoints(P)
\end{tikzpicture}

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documents/GeoTopo/figures/coordinate-system-3.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/O, 1/0/X, 0/1/Y, 2/1/P, 3/3/Q}
\tkzDrawLine[add=3 and 2.2](O,X)
\tkzLabelLine[below,pos=3](O,X){$g_1$}
\tkzLabelLine[left,pos=3](O,Y){$g_2$}
\tkzDrawLine[add=3 and 2.2](O,Y)
\tkzDefLine[orthogonal=through P,/tikz/overlay](O,X) \tkzGetPoint{helper}
\tkzInterLL(O,X)(P,helper) \tkzGetPoint{xp}
\draw [decorate,decoration={brace,amplitude=4pt,mirror}]
(O) -- (xp) node [black,midway,xshift=0cm, yshift=-0.3cm]
{\footnotesize $x_P$};
\tkzDefLine[orthogonal=through P,/tikz/overlay](O,Y) \tkzGetPoint{helper}
\tkzInterLL(O,Y)(P,helper) \tkzGetPoint{yp}
\draw [decorate,decoration={brace,amplitude=4pt}]
(O) -- (yp) node [black,midway,xshift=-0.4cm]
{\footnotesize $y_P$};
\tkzDrawPolygon(O,xp,P,yp)
\tkzDefLine[orthogonal=through Q,/tikz/overlay](O,X) \tkzGetPoint{helper}
\tkzInterLL(O,X)(Q,helper) \tkzGetPoint{xq}
\tkzDefLine[orthogonal=through Q,/tikz/overlay](O,Y) \tkzGetPoint{helper}
\tkzInterLL(O,Y)(Q,helper) \tkzGetPoint{yq}
\tkzInterLL(yp,P)(Q,xq) \tkzGetPoint{qxp}
\tkzInterLL(xp,P)(Q,yq) \tkzGetPoint{R}
\tkzDrawPolygon(O,xq,Q,yq)
\tkzDrawSegments[green](xp,xq R,Q)
\tkzDrawSegments[very thick,orange](yp,yq P,R)
\tkzLabelPoint[above right](P){$P$}
\tkzLabelPoint[above right](Q){$Q$}
\tkzLabelPoint[below left](O){$0$}
\tkzLabelPoint[above](R){$R$}
\node at ($(-2,2)$){$X$};
\tkzDrawPoints(P,Q,R)
\end{tikzpicture}

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documents/GeoTopo/figures/pythagoras-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, 4/0/B, 4/4/C, 0/4/D, 1/0/W, 4/1/X, 3/4/Y, 0/3/Z}
\tkzDrawPolygon(A,B,C,D)
\tkzDrawPolygon(W,X,Y,Z)
\tkzLabelSegment[below](A,W){$b$}
\tkzLabelSegment[below](W,B){$a$}
\tkzLabelSegment[right](B,X){$b$}
\tkzLabelSegment[right](X,C){$a$}
\tkzLabelSegment[above](C,Y){$b$}
\tkzLabelSegment[above](Y,D){$a$}
\tkzLabelSegment[left](D,Z){$b$}
\tkzLabelSegment[left](Z,A){$a$}
\tkzLabelAngle[pos=-0.24](D,C,B){$\cdot$}
\tkzMarkAngle[arc=l,size=0.4cm](D,C,B)
\tkzLabelAngle[pos=0.24](C,B,A){$\cdot$}
\tkzMarkAngle[arc=l,size=0.4cm](C,B,A)
\tkzLabelAngle[pos=0.24](B,A,D){$\cdot$}
\tkzMarkAngle[arc=l,size=0.4cm](B,A,D)
\tkzLabelAngle[pos=0.24](A,D,C){$\cdot$}
\tkzMarkAngle[arc=l,size=0.4cm](A,D,C)
\tkzLabelAngle[pos=0.24](W,Z,Y){$\gamma$}
\tkzMarkAngle[arc=l,size=0.4cm](W,Z,Y)
\end{tikzpicture}

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documents/GeoTopo/figures/pythagoras.tex Normal file
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@ -0,0 +1,16 @@
\begin{tikzpicture}
\tkzSetUpPoint[shape=circle,size=10,color=black,fill=black]
\tkzSetUpLine[line width=1]
\tkzDefPoints{0/0/A, 5/0/B}
\tkzInterCC[R,/tikz/overlay](A,4cm)(B,3cm) \tkzGetPoints{C}{D}
\tkzDrawPolygon(A,B,C)
\tkzDrawPoints(A,B,C)
\tkzLabelSegment[below](A,B){$c$}
\tkzLabelSegment[above left](A,C){$b$}
\tkzLabelSegment[above right](B,C){$a$}
\tkzLabelPoint[below](A){$A$}
\tkzLabelPoint[below](B){$B$}
\tkzLabelPoint[above](C){$C$}
\tkzLabelAngle[pos=0.24](A,C,B){$\cdot$}
\tkzMarkAngle[arc=l,size=0.4cm](A,C,B)
\end{tikzpicture}

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

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tikz/coordinate-system-1/coordinate-system-1.tex Normal file
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\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{tkz-euclide}
\usepackage{tikz}
\usetikzlibrary{patterns}
\begin{document}
\usetkzobj{all}
\begin{tikzpicture}
\tkzSetUpPoint[shape=circle,size=10,color=black,fill=black]
\tkzSetUpLine[line width=1]
\tkzDefPoints{0/0/O, 1/0/X, 0/1/Y, 2/1/P}
\tkzDrawLine[add=3 and 2](O,X)
\tkzLabelLine[below,pos=3](O,X){$g_1$}
\tkzLabelLine[right,pos=3](O,Y){$g_2$}
\tkzDrawLine[add=3 and 2](O,Y)
\tkzLabelPoint(P){$P$}
\node at ($(-2,2)$){$X$};
\tkzDrawPoints(P)
\end{tikzpicture}
\end{document}

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

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tikz/coordinate-system-2/coordinate-system-2.tex Normal file
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\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{tkz-euclide}
\usepackage{tikz}
\usetikzlibrary{decorations.pathreplacing}
\begin{document}
\usetkzobj{all}
\begin{tikzpicture}
\tkzSetUpPoint[shape=circle,size=10,color=black,fill=black]
\tkzSetUpLine[line width=1]
\tkzDefPoints{0/0/O, 1/0/X, 0/1/Y, 2/1/P}
\tkzDrawLine[add=3 and 2](O,X)
\tkzLabelLine[below,pos=3](O,X){$g_1$}
\tkzLabelLine[right,pos=3](O,Y){$g_2$}
\tkzDrawLine[add=3 and 2](O,Y)
\tkzDefLine[orthogonal=through P,/tikz/overlay](O,X) \tkzGetPoint{helper}
\tkzInterLL(O,X)(P,helper) \tkzGetPoint{xp}
\draw [decorate,decoration={brace,amplitude=4pt,mirror}]
(O) -- (xp) node [black,midway,xshift=0cm, yshift=-0.3cm]
{\footnotesize $x_P$};
\tkzDefLine[orthogonal=through P,/tikz/overlay](O,Y) \tkzGetPoint{helper}
\tkzInterLL(O,Y)(P,helper) \tkzGetPoint{yp}
\draw [decorate,decoration={brace,amplitude=4pt}]
(O) -- (yp) node [black,midway,xshift=-0.4cm]
{\footnotesize $y_P$};
\tkzDrawPolygon(O,xp,P,yp)
\tkzLabelPoint[above right](P){$P$}
\tkzLabelPoint[below left](O){$0$}
\node at ($(-2,2)$){$X$};
\tkzDrawPoints(P)
\end{tikzpicture}
\end{document}

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

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tikz/coordinate-system-3/coordinate-system-3.tex Normal file
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\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{tkz-euclide}
\usepackage{tikz}
\usetikzlibrary{decorations.pathreplacing}
\begin{document}
\usetkzobj{all}
\begin{tikzpicture}
\tkzSetUpPoint[shape=circle,size=10,color=black,fill=black]
\tkzSetUpLine[line width=1]
\tkzDefPoints{0/0/O, 1/0/X, 0/1/Y, 2/1/P, 3/3/Q}
\tkzDrawLine[add=3 and 2.2](O,X)
\tkzLabelLine[below,pos=3](O,X){$g_1$}
\tkzLabelLine[left,pos=3](O,Y){$g_2$}
\tkzDrawLine[add=3 and 2.2](O,Y)
\tkzDefLine[orthogonal=through P,/tikz/overlay](O,X) \tkzGetPoint{helper}
\tkzInterLL(O,X)(P,helper) \tkzGetPoint{xp}
\draw [decorate,decoration={brace,amplitude=4pt,mirror}]
(O) -- (xp) node [black,midway,xshift=0cm, yshift=-0.3cm]
{\footnotesize $x_P$};
\tkzDefLine[orthogonal=through P,/tikz/overlay](O,Y) \tkzGetPoint{helper}
\tkzInterLL(O,Y)(P,helper) \tkzGetPoint{yp}
\draw [decorate,decoration={brace,amplitude=4pt}]
(O) -- (yp) node [black,midway,xshift=-0.4cm]
{\footnotesize $y_P$};
\tkzDrawPolygon(O,xp,P,yp)
\tkzDefLine[orthogonal=through Q,/tikz/overlay](O,X) \tkzGetPoint{helper}
\tkzInterLL(O,X)(Q,helper) \tkzGetPoint{xq}
\tkzDefLine[orthogonal=through Q,/tikz/overlay](O,Y) \tkzGetPoint{helper}
\tkzInterLL(O,Y)(Q,helper) \tkzGetPoint{yq}
\tkzInterLL(yp,P)(Q,xq) \tkzGetPoint{qxp}
\tkzInterLL(xp,P)(Q,yq) \tkzGetPoint{R}
\tkzDrawPolygon(O,xq,Q,yq)
\tkzDrawSegments[green](xp,xq R,Q)
\tkzDrawSegments[very thick,orange](yp,yq P,R)
\tkzLabelPoint[above right](P){$P$}
\tkzLabelPoint[above right](Q){$Q$}
\tkzLabelPoint[below left](O){$0$}
\tkzLabelPoint[above](R){$R$}
\node at ($(-2,2)$){$X$};
\tkzDrawPoints(P,Q,R)
\end{tikzpicture}
\end{document}

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tikz/pythagoras-2/Makefile Normal file
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SOURCE = pythagoras-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

3
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@ -0,0 +1,3 @@
Compiled example
----------------
![Example](pythagoras-2.png)

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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, 4/0/B, 4/4/C, 0/4/D, 1/0/W, 4/1/X, 3/4/Y, 0/3/Z}
\tkzDrawPolygon(A,B,C,D)
\tkzDrawPolygon(W,X,Y,Z)
\tkzLabelSegment[below](A,W){$b$}
\tkzLabelSegment[below](W,B){$a$}
\tkzLabelSegment[right](B,X){$b$}
\tkzLabelSegment[right](X,C){$a$}
\tkzLabelSegment[above](C,Y){$b$}
\tkzLabelSegment[above](Y,D){$a$}
\tkzLabelSegment[left](D,Z){$b$}
\tkzLabelSegment[left](Z,A){$a$}
\tkzLabelAngle[pos=-0.24](D,C,B){$\cdot$}
\tkzMarkAngle[arc=l,size=0.4cm](D,C,B)
\tkzLabelAngle[pos=0.24](C,B,A){$\cdot$}
\tkzMarkAngle[arc=l,size=0.4cm](C,B,A)
\tkzLabelAngle[pos=0.24](B,A,D){$\cdot$}
\tkzMarkAngle[arc=l,size=0.4cm](B,A,D)
\tkzLabelAngle[pos=0.24](A,D,C){$\cdot$}
\tkzMarkAngle[arc=l,size=0.4cm](A,D,C)
\tkzLabelAngle[pos=0.24](W,Z,Y){$\gamma$}
\tkzMarkAngle[arc=l,size=0.4cm](W,Z,Y)
\end{tikzpicture}
\end{document}

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SOURCE = pythagoras
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
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Compiled example
----------------
![Example](pythagoras.png)

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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, 5/0/B}
\tkzInterCC[R,/tikz/overlay](A,4cm)(B,3cm) \tkzGetPoints{C}{D}
\tkzDrawPolygon(A,B,C)
\tkzDrawPoints(A,B,C)
\tkzLabelSegment[below](A,B){$c$}
\tkzLabelSegment[above left](A,C){$b$}
\tkzLabelSegment[above right](B,C){$a$}
\tkzLabelPoint[below](A){$A$}
\tkzLabelPoint[below](B){$B$}
\tkzLabelPoint[above](C){$C$}
\tkzLabelAngle[pos=0.24](A,C,B){$\cdot$}
\tkzMarkAngle[arc=l,size=0.4cm](A,C,B)
\end{tikzpicture}
\end{document}