%% 
%%  Ein Beispiel der DANTE-Edition
%% 
%% 
%%  Copyright (C) 2010 Herbert Voss
%% 
%%  It may be distributed and/or modified under the conditions
%%  of the LaTeX Project Public License, either version 1.3
%%  of this license or (at your option) any later version.
%% 
%%  See http://www.latex-project.org/lppl.txt for details.
%% 
%% 
%% ==== 
% Show page(s) 1
%% 
\documentclass[]{exaarticle}
\pagestyle{empty}
\setlength\textwidth{142.324pt}
\setlength\parindent{0pt}
\StartShownPreambleCommands
\usepackage{pst-eucl}
\StopShownPreambleCommands
\begin{document}
\begin{pspicture}(-2,-2)(1.5,2)
 \pstGeonode[PosAngle={0,-45}]%
   (.5,1){O}(-1.5,-1.2){A}(.5,-.8){B}
 \pstHomO[HomCoef=.62, PosAngle=-45]{O}{A,B}[C,D]
 \pstHomO[HomCoef=-.3, PosAngle=45]{O}{A,B}[E,F]
 \pstLineAB[nodesep=-1.2]{A}{O}\pstLineAB[nodesep=-1]{B}{O}
 \psset{linecolor=red, nodesep=-.5}
 \pstLineAB{A}{B}\pstLineAB{C}{D}
 \pstLineAB[linecolor=blue,nodesep=-.5]{E}{F}
\end{pspicture}
\end{document}