added gallery

documents/gallery/Makefile

@@ -0,0 +1,8 @@
+SOURCE = gallery
+
+make:
+	pdflatex $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux *.out *.ind *.idx *.ilg *.toc *.bbl *.blg

documents/gallery/dot-product-1.tex

@@ -0,0 +1,20 @@
+\documentclass[varwidth=true, border=2pt]{standalone}
+\usepackage{tikz}
+\usetikzlibrary{arrows,positioning} 
+
+
+\begin{document}
+\begin{tikzpicture}
+\tikzset{
+    %Define standard arrow tip
+    >=stealth',
+    % Define arrow style
+    pil/.style={->,thick}
+}
+
+    \draw[fill=green!30] (0,0) -- (90:.75cm) arc (90:27:.75cm);
+    \draw[pil,color=black] (0,0) -- node[right=2pt] {$\vec a$} (27:2.2cm);
+    \draw[pil,color=black] (0,0) -- node[near end, right=-3pt] {$\vec b$} (90:2cm);
+    \draw(60:0.5cm) node {$\varphi$};
+  \end{tikzpicture}
+\end{document}

documents/gallery/dot-product-2.tex

@@ -0,0 +1,26 @@
+\documentclass[varwidth=true, border=2pt]{standalone}
+\usepackage{tikz}
+\usetikzlibrary{arrows,positioning} 
+\tikzset{
+    %Define standard arrow tip
+    >=stealth',
+    % Define arrow style
+    pil/.style={
+           ->,
+           thick}
+}
+
+\begin{document}
+\begin{tikzpicture}
+    \draw[fill=gray!30] (27:0.90) -- node[right=-0.28cm, near end] {$\cdot$} (27:1.08)
+                        arc (27:117:.18cm);
+    \draw[fill=green!30] (0,0) -- (90:.55cm) arc (90:27:.55cm);
+    \draw[pil,color=red] (0,0) -- node[right=2pt] {$\vec a$} (27:3cm);
+    \draw[pil,color=blue] (0,0) -- node[near end, right=-3pt] {$\vec b$} (90:2cm);
+
+    \draw[pil,color=violet] (0,0) -- node[near start, right=7pt] {$\vec b_{\vec a}$} (27:0.90cm);
+    \draw[color=gray, dashed] (27:0.90) -- node[near end, right] {} (90:2cm);
+
+    \draw(60:0.35cm) node {$\varphi$};
+  \end{tikzpicture}
+\end{document}

documents/gallery/dot-product-3-1.tex

@@ -0,0 +1,17 @@
+\documentclass[varwidth=true, border=2pt]{standalone}
+\usepackage{gensymb}
+\usepackage{tikz}
+\usetikzlibrary{arrows,positioning,decorations.pathreplacing,shapes} 
+\tikzset{
+    %Define standard arrow tip
+    >=stealth',
+    % Define arrow style
+    pil/.style={->,thick}
+}
+
+\begin{document}
+\begin{tikzpicture}
+    \draw[pil] (0,0)   -- node[near end, above] {$\vec a$} (3cm, 0cm);
+    \draw[pil] (0,0.5cm) -- node[near end, above] {$\vec b$} (2cm,0.5cm);
+  \end{tikzpicture}
+\end{document}

documents/gallery/dot-product-6.tex

@@ -0,0 +1,18 @@
+\documentclass[varwidth=true, border=2pt]{standalone}
+\usepackage{tikz}
+\usetikzlibrary{arrows,positioning} 
+\tikzset{
+    %Define standard arrow tip
+    >=stealth',
+    % Define arrow style
+    pil/.style={->,thick}
+}
+
+\begin{document}
+  \begin{tikzpicture}
+    \draw[fill=gray!30, label=$a$] (0,0) -- node[above, near start] {$\cdot$} (0.5,0)
+                        arc (0:90:0.5cm);
+    \draw[pil] (0,0) -- node[near end, above] {$\vec e_1$} (2cm, 0);
+    \draw[pil]  (0,0) -- node[near end, right] {$\vec e_2$} (0, 2cm);
+  \end{tikzpicture}
+\end{document}

documents/gallery/equilateral-triangle-heights.tex

@@ -0,0 +1,66 @@
+\documentclass[varwidth=true, border=2pt]{standalone}
+\usepackage{tikz}
+\usetikzlibrary{arrows,positioning, calc}
+\tikzset{
+    %Define standard arrow tip
+    >=stealth',
+    % Define arrow style
+    pil/.style={->,thick}
+}
+
+\begin{document}
+  \begin{tikzpicture}
+    % draw the background
+    \draw [line width=1.5pt, fill=gray!2] (0,0) -- (60:4) -- (4,0) -- cycle;
+
+    \coordinate[label=left:$A$]  (A) at (0,0);
+    \coordinate[label=right:$B$] (B) at (4,0);
+    \coordinate[label=above:$C$] (C) at (2,3.464);
+
+    \coordinate[label=below:$c$](c) at ($ (A)!.5!(B) $);
+    \coordinate[label=left:$b$](b) at ($ (A)!.5!(C) $);
+    \coordinate[label=right:$a$](a) at ($ (B)!.5!(C) $);
+
+    % angle alpha
+    \draw[fill=green!30] (0,0) -- (0:0.75cm) arc (0:60:.75cm);
+    \draw (0.35cm,0.25cm) node {$\alpha$};
+
+    % angle beta
+    \begin{scope}[shift={(4cm,0cm)}]
+        \draw[fill=green!30] (0,0) -- (-180:0.75cm) arc (180:120:0.75cm);
+        \draw[color=gray, dashed] (0,0) -- node[sloped, above=-0.1cm] {$\scriptstyle h_b$} (150:3.464cm);
+        \draw (150:0.5cm) node {$\beta$};
+    \end{scope}
+
+    % angle gamma
+    \begin{scope}[shift={(60:4)}]
+        \draw[fill=green!30] (0,0) -- (-120:.75cm) arc (-120:-60:.75cm);
+        \draw[color=gray, dashed] (0,0) -- node[right=-0.1cm] {$\scriptstyle h_c$} (-90:3.464cm);
+        \draw (-90:0.5cm) node {$\gamma$};
+    \end{scope}
+
+    % Sign for right angle of h_c
+    \begin{scope}[shift={(2,0)}]
+        \draw[fill=gray!30] (0,0) -- node[above=-0.15cm,near start] {$\cdot$} (0:0.18cm)
+                            arc (0:90:.18cm);
+    \end{scope}
+
+    % sign of right angle of h_a
+    \begin{scope}[shift={(30:3.464cm)}]
+        \draw[fill=gray!30] (0,0) -- node[near end,right=-0.28cm] {$\cdot$} (-60:0.18cm)
+                            arc (-60:-150:.18cm);
+    \end{scope}
+
+    % sign of right angle of h_b
+    \begin{scope}[shift={(60:2cm)}]
+        \draw[fill=gray!30] (0,0) -- node[right=-0.08cm, near start] {$\cdot$} (60:0.18cm)
+                            arc (60:-30:.18cm);
+    \end{scope}
+
+    % Height with label
+    \draw[color=gray, dashed] (0,0) -- node[sloped, above=-0.1cm] {$\scriptstyle h_a$} (30:3.464cm);
+
+    % The triangle
+    \draw [line width=1.5pt] (0,0) -- (60:4) -- (4,0) -- cycle;
+  \end{tikzpicture}
+\end{document}

documents/gallery/equilateral-triangle.tex

@@ -0,0 +1,37 @@
+\documentclass[varwidth=true, border=2pt]{standalone}
+\usepackage{tikz}
+\usetikzlibrary{positioning, calc}
+
+\begin{document}
+  \begin{tikzpicture}[scale=0.8]
+    % draw the background
+    \draw [line width=1.5pt, fill=gray!2] (0,0) -- (60:4) -- (4,0) -- cycle;
+
+    \coordinate[label=left:$A$]  (A) at (0,0);
+    \coordinate[label=right:$B$] (B) at (4,0);
+    \coordinate[label=above:$C$] (C) at (2,3.464);
+
+    \coordinate[label=below:$c$](c) at ($ (A)!.5!(B) $);
+    \coordinate[label=left:$b$] (b) at ($ (A)!.5!(C) $);
+    \coordinate[label=right:$a$](a) at ($ (B)!.5!(C) $);
+
+    % angle alpha
+    \draw[fill=green!30] (0,0) -- (0:0.75cm) arc (0:60:.75cm);
+    \draw (0.35cm,0.25cm) node {$\alpha$};
+
+    % angle beta
+    \begin{scope}[shift={(4cm,0cm)}]
+        \draw[fill=green!30] (0,0) -- (-180:0.75cm) arc (180:120:0.75cm);
+        \draw (150:0.5cm) node {$\beta$};
+    \end{scope}
+
+    % angle gamma
+    \begin{scope}[shift={(60:4)}]
+        \draw[fill=green!30] (0,0) -- (-120:.75cm) arc (-120:-60:.75cm);
+        \draw (-90:0.5cm) node {$\gamma$};
+    \end{scope}
+
+    % the triangle
+    \draw [line width=1.5pt] (A) -- (B) -- (C) -- cycle;
+  \end{tikzpicture}
+\end{document}

documents/gallery/gallery.tex

@@ -0,0 +1,51 @@
+\documentclass[a4paper,12pt]{article}
+\usepackage{amssymb,amsmath} % needed for math
+\usepackage{standalone} % needed for includestandalone
+\usepackage[utf8]{inputenc} % this is needed for umlauts
+\usepackage[ngerman]{babel} % this is needed for umlauts
+\usepackage[T1]{fontenc}    % this is needed for correct output of umlauts in pdf
+
+\usepackage{tikz} % needed for includestandalone
+\usetikzlibrary{arrows,positioning, calc}
+
+\tikzset{
+    pil/.style={->,thick}
+}
+
+\newenvironment{gallery}{}{}
+
+\begin{document}
+Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam 
+nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam 
+erat, 
+sed diam voluptua. At vero eos et accusam et justo duo dolores et ea 
+rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem 
+ipsum dolor sit amet. Lorem ipsum dolor sit amet, consetetur 
+sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore 
+et dolore magna aliquyam erat, sed diam voluptua. At vero eos et 
+accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, 
+no sea takimata sanctus est Lorem ipsum dolor sit amet. Lorem ipsum 
+dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod 
+tempor invidunt ut labore et dolore magna aliquyam erat, sed diam 
+voluptua. At vero eos et accusam et justo duo dolores et ea rebum. 
+Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum 
+dolor sit amet.   
+
+\begin{gallery}
+    \includestandalone{dot-product-1}
+    \includestandalone{dot-product-2}
+    \includestandalone{dot-product-3-1}
+    \includestandalone{dot-product-6}
+    \includestandalone{equilateral-triangle}
+    \includestandalone{equilateral-triangle-heights}
+\end{gallery}
+ 
+Duis autem vel eum iriure dolor in hendrerit in vulputate velit esse 
+molestie consequat, vel illum dolore eu feugiat nulla facilisis at 
+vero eros et accumsan et iusto odio dignissim qui blandit praesent 
+luptatum zzril delenit augue duis dolore te feugait nulla facilisi. 
+Lorem ipsum dolor sit amet, consectetuer adipiscing elit, sed diam 
+nonummy nibh euismod tincidunt ut laoreet dolore magna aliquam erat 
+volutpat.   
+
+\end{document}