TikZ'en eines Bildes

documents/GeoTopo/Arbeitszeit.md

@@ -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

documents/GeoTopo/Kapitel4.tex

@@ -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 $C$. 
 

documents/GeoTopo/figures/triangle-2.tex

@@ -0,0 +1,32 @@
+\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}

tikz/triangle-2/Makefile

@@ -0,0 +1,31 @@
+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

tikz/triangle-2/Readme.md

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

tikz/triangle-2/triangle-2.tex

@@ -0,0 +1,38 @@
+\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}