%% 
%%  A DANTE-Edition example
%% 
%%  Example 29-02-15 on page 572.
%% 
%%  Copyright (C) 2011 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[]{article}
\pagestyle{empty}
\setlength\textwidth{177.70511pt}
\setlength\parindent{0pt}

\usepackage{pst-eucl}

\begin{document}
\begin{pspicture}(-2,-2)(2,2)
  \pstGeonode[PosAngle={0,-45}]%
    (.5,1){O}(-1.5,-1.2){A}(.5,-.8){B}(1.8,-1){C}
  \pstHomO[HomCoef=0.5,PosAngle=-45]{O}{A,B,C}[D,E]
  \psset{linecolor=blue,nodesep=-1}
  \pstLineAB{A}{O}\pstLineAB{B}{O}\pstLineAB{C}{O}
  \psset{linecolor=red,nodesep=-.5,linewidth=1pt}
  \pstLineAB{A}{B}\pstLineAB{D}{E}
  \psset{linestyle=dashed}
  \pstLineAB{B}{C}\pstLineAB{E}{C'}
\end{pspicture}
\end{document}