diff --git a/documents/GeoTopo/Arbeitszeit.md b/documents/GeoTopo/Arbeitszeit.md
index f8fd136..3066b9c 100644
--- a/documents/GeoTopo/Arbeitszeit.md
+++ b/documents/GeoTopo/Arbeitszeit.md
@@ -56,3 +56,4 @@ in dem Erstellen dieses Skripts steckt:
 |30.01.2014 | 15:45 - 17:00 | Digitalisieren der Vorlesung von 30.01.2014
 |30.01.2014 | 19:30 - 21:30 | Textsetzung
 |01.02.2014 | 15:40 - 15:50 | Beweis "Möbiustransformation ist Gruppenoperation" hinzugefügt
+|02.02.2014 | 17:00 - 18:00 | TikZ'en von Bildern
diff --git a/documents/GeoTopo/GeoTopo.pdf b/documents/GeoTopo/GeoTopo.pdf
index 56837c7..1071bb2 100644
Binary files a/documents/GeoTopo/GeoTopo.pdf and b/documents/GeoTopo/GeoTopo.pdf differ
diff --git a/documents/GeoTopo/Kapitel2.tex b/documents/GeoTopo/Kapitel2.tex
index 060310d..9814e70 100644
--- a/documents/GeoTopo/Kapitel2.tex
+++ b/documents/GeoTopo/Kapitel2.tex
@@ -879,7 +879,7 @@ $\partial X$ ist eine Mannigfaltigkeit der Dimension $n-1$.
     \begin{figure}[h!]
         \centering
         \input{figures/topology-oriented-triangle.tex}
-        \caption{TODO}
+        \caption{Simplizialkomplex mit Totalordnung}
     \end{figure}
 
     $a < b < c$
diff --git a/documents/GeoTopo/Kapitel3.tex b/documents/GeoTopo/Kapitel3.tex
index 6b66f0b..8769799 100644
--- a/documents/GeoTopo/Kapitel3.tex
+++ b/documents/GeoTopo/Kapitel3.tex
@@ -269,7 +269,7 @@ Für einen Weg $\gamma$ sei $[\gamma]$ seine \textbf{Homotopieklasse}\xindex{Hom
 
 \begin{figure}[htp]
     \centering
-    \input{figures/todo.tex}
+    \input{figures/topology-paths.tex}
     \caption{Situation aus \cref{kor:gruppenisomorphismus-wege}}.
     \label{fig:situation-gruppenisomorphismus-wege}
 \end{figure}
@@ -826,12 +826,11 @@ $p|V_j: V_j \rightarrow U$ Homöomorphismus.
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 % Mitschrieb vom 19.12.2013                                         %
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\begin{bemerkung}%Vorlesung: Folgerung 12.12
-    \todo{Hier stimmt was mit den Tilden nicht}
-    Sind $p:X \rightarrow X$ und $y: \tilde{Y} \rightarrow X$
+\begin{folgerung}%Vorlesung: Folgerung 12.12
+    Sind $p:\tilde{X} \rightarrow X$ und $q: \tilde{Y} \rightarrow X$
     universelle Überlagerungen, so sind $\tilde{X}$ und $\tilde{Y}$
     homöomorph.
-\end{bemerkung}
+\end{folgerung}
 
 \begin{beweis}
     Seien $x_0 \in X, \tilde{x_0} \in \tilde{X}$ mit 
@@ -848,8 +847,8 @@ $p|V_j: V_j \rightarrow U$ Homöomorphismus.
     $p:\tilde{X} \rightarrow X$ mit $(g \circ f) (\tilde{x_0}) = \tilde{x_0}$.
 
     Da auch $\id_{\tilde{x}}$ diese Eigenschaft hat, folgt mit
-    \cref{kor:12.4}: $g \circ f = \id_{\tilde{X}}$.
-    Analog $f \circ g = \id_{\tilde{Y}}$. $\qed$
+    \cref{kor:12.4}: $g \circ f = \id_{\tilde{X}}$.\\
+    Analog gilt $f \circ g = \id_{\tilde{Y}}$. $\qed$
 \end{beweis}
 
 Die Frage, wann es eine universelle Überlagerung gibt, beantwortet
diff --git a/documents/GeoTopo/Kapitel4.tex b/documents/GeoTopo/Kapitel4.tex
index 3da241f..237f477 100644
--- a/documents/GeoTopo/Kapitel4.tex
+++ b/documents/GeoTopo/Kapitel4.tex
@@ -600,8 +600,7 @@ Sei im Folgenden \enquote{IWS} die \enquote{Innenwinkelsumme}.
 \end{beweis}
 
 \section{Weitere Eigenschaften einer euklidischen Ebene}
-\subsection{Strahlensatz}
-\begin{satz}
+\begin{satz}[Strahlensatz]
     In ähnlichen Dreiecken sind Verhältnisse entsprechender Seiten gleich.
 \end{satz}
 
@@ -612,9 +611,8 @@ Sei im Folgenden \enquote{IWS} die \enquote{Innenwinkelsumme}.
     \label{fig:bild-2}
 \end{figure}
 
-\begin{beweis}
-    TODO
-\end{beweis}
+Der Beweis wird hier nicht geführt. Für Beweisvorschläge wäre ich 
+dankbar.
 
 \begin{figure}[htp]
     \centering
@@ -632,11 +630,11 @@ Sei im Folgenden \enquote{IWS} die \enquote{Innenwinkelsumme}.
 
 \begin{figure}[ht]
     \centering
-    \subfloat[TODO]{
+    \subfloat[Zwei kongruente Dreiecke]{
         \input{figures/rectangle-2.1.tex}
         \label{fig:bild-4}
     }%
-    \subfloat[TODO]{
+    \subfloat[Zwei weitere kongruente Dreiecke]{
         \input{figures/rectangle-2.2.tex}
         \label{fig:bild-5}
     }%
@@ -648,7 +646,7 @@ Der Flächeninhalt eines Dreiecks ist $\nicefrac{1}{2} \cdot \text{Grundseite} \
 
 \begin{figure}[htp]
     \centering
-    \input{figures/todo.tex}
+    \input{figures/triangle-4.tex}
     \caption{Flächenberechnung im Dreiecks}
     \label{fig:flaechenberechnung-dreieck}
 \end{figure}
diff --git a/documents/GeoTopo/figures/topology-paths.tex b/documents/GeoTopo/figures/topology-paths.tex
new file mode 100644
index 0000000..8554242
--- /dev/null
+++ b/documents/GeoTopo/figures/topology-paths.tex
@@ -0,0 +1,8 @@
+\begin{tikzpicture}
+    \tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
+    \node (a)[point,label=180:$a$] at (0,0) {};
+    \node (b)[point,label=0:$b$]   at (3, 0) {};
+    \draw [rounded corners,->, thick, red] (a) .. controls (0.5,2) .. (2,1) .. controls (2,0.5) .. (a);
+    \draw [rounded corners,->, thick, blue] (a) .. controls (1,-1) .. (2,-0.5) .. controls (2.2,-1) .. (b);
+    \node at (1,1.2) [red] {$\gamma$};
+\end{tikzpicture}
diff --git a/documents/GeoTopo/figures/triangle-4.tex b/documents/GeoTopo/figures/triangle-4.tex
new file mode 100644
index 0000000..48a7c76
--- /dev/null
+++ b/documents/GeoTopo/figures/triangle-4.tex
@@ -0,0 +1,25 @@
+\begin{tikzpicture}
+    \tkzSetUpPoint[shape=circle,size=10,color=black,fill=black]
+    \tkzSetUpLine[line width=1]
+    \tkzDefPoints{0/0/A, 4/0/B, -2/3/C}
+
+    \tkzDefLine[orthogonal=through A,/tikz/overlay](B,C) \tkzGetPoint{helper}
+    \tkzInterLL(B,C)(A,helper) \tkzGetPoint{La}
+
+    \tkzMarkAngle[arc=l,size=0.4cm,color=red,fill=red!20](A,La,B)
+    \tkzLabelAngle[pos=0.25](A,La,B){$\cdot$}
+
+    \tkzDrawPolygon(A,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 ($(C)+(0.05,0.3)$)  {$C$};
+    \node[green] at ($(La)+(-0.4,-0.1)$)  {$L_A$};
+
+    \tkzDrawSegments[red](A,La)
+    \tkzDrawSegments[blue](B,C)
+    \tkzLabelSegment[right,red](A,La){$h_a$}
+    \tkzLabelSegment[above,blue](B,C){$c$}
+    \tkzDrawPoints(A,B,C)
+    \tkzDrawPoints[color=green,fill=green](La)
+\end{tikzpicture}
diff --git a/tikz/topology-paths/Makefile b/tikz/topology-paths/Makefile
new file mode 100644
index 0000000..e24d93d
--- /dev/null
+++ b/tikz/topology-paths/Makefile
@@ -0,0 +1,31 @@
+SOURCE = topology-paths
+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
diff --git a/tikz/topology-paths/Readme.md b/tikz/topology-paths/Readme.md
new file mode 100644
index 0000000..1ca7912
--- /dev/null
+++ b/tikz/topology-paths/Readme.md
@@ -0,0 +1,3 @@
+Compiled example
+----------------
+![Example](topology-paths.png)
diff --git a/tikz/topology-paths/topology-paths.png b/tikz/topology-paths/topology-paths.png
new file mode 100644
index 0000000..6deb105
Binary files /dev/null and b/tikz/topology-paths/topology-paths.png differ
diff --git a/tikz/topology-paths/topology-paths.tex b/tikz/topology-paths/topology-paths.tex
new file mode 100644
index 0000000..94548af
--- /dev/null
+++ b/tikz/topology-paths/topology-paths.tex
@@ -0,0 +1,15 @@
+\documentclass[varwidth=true, border=2pt]{standalone}
+
+\usepackage{pgfplots}
+\usepackage{tikz}
+
+\begin{document}
+\begin{tikzpicture}
+    \tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
+    \node (a)[point,label=180:$a$] at (0,0) {};
+    \node (b)[point,label=0:$b$]   at (3, 0) {};
+    \draw [rounded corners,->, thick, red] (a) .. controls (0.5,2) .. (2,1) .. controls (2,0.5) .. (a);
+    \draw [rounded corners,->, thick, blue] (a) .. controls (1,-1) .. (2,-0.5) .. controls (2.2,-1) .. (b);
+    \node at (1,1.2) [red] {$\gamma$};
+\end{tikzpicture}
+\end{document}
diff --git a/tikz/triangle-4/Makefile b/tikz/triangle-4/Makefile
new file mode 100644
index 0000000..7e857bd
--- /dev/null
+++ b/tikz/triangle-4/Makefile
@@ -0,0 +1,31 @@
+SOURCE  = triangle-4
+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
diff --git a/tikz/triangle-4/Readme.md b/tikz/triangle-4/Readme.md
new file mode 100644
index 0000000..7311200
--- /dev/null
+++ b/tikz/triangle-4/Readme.md
@@ -0,0 +1,3 @@
+Compiled example
+----------------
+![Example](triangle-4.png)
diff --git a/tikz/triangle-4/triangle-4.png b/tikz/triangle-4/triangle-4.png
new file mode 100644
index 0000000..82e2f8a
Binary files /dev/null and b/tikz/triangle-4/triangle-4.png differ
diff --git a/tikz/triangle-4/triangle-4.tex b/tikz/triangle-4/triangle-4.tex
new file mode 100644
index 0000000..26c465b
--- /dev/null
+++ b/tikz/triangle-4/triangle-4.tex
@@ -0,0 +1,33 @@
+\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/A, 4/0/B, -2/3/C}
+
+    \tkzDefLine[orthogonal=through A,/tikz/overlay](B,C) \tkzGetPoint{helper}
+    \tkzInterLL(B,C)(A,helper) \tkzGetPoint{La}
+
+    \tkzMarkAngle[arc=l,size=0.4cm,color=red,fill=red!20](A,La,B)
+    \tkzLabelAngle[pos=0.25](A,La,B){$\cdot$}
+
+    \tkzDrawPolygon(A,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 ($(C)+(0.05,0.3)$)  {$C$};
+    \node[green] at ($(La)+(-0.4,-0.1)$)  {$L_A$};
+
+    \tkzDrawSegments[red](A,La)
+    \tkzDrawSegments[blue](B,C)
+    \tkzLabelSegment[right,red](A,La){$h_a$}
+    \tkzLabelSegment[above,blue](B,C){$c$}
+    \tkzDrawPoints(A,B,C)
+    \tkzDrawPoints[color=green,fill=green](La)
+\end{tikzpicture}
+\end{document}