TikZ'en von Bildern

tikz/coordinate-system-3/coordinate-system-3.tex

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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}