%% 
%%  Ein Beispiel der DANTE-Edition
%%  
%%  7. Auflage
%% 
%%  Beispiel 35-00-33 auf Seite 832.
%% 
%%  Copyright (C) 2016 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
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%% 
\documentclass[]{exaarticle}
\pagestyle{empty}
\setlength\textwidth{352.81416pt}
\setlength\parindent{0pt}
%StartShownPreambleCommands
\usepackage{pstricks-add}
%StopShownPreambleCommands
\begin{document}
\psset{unit=4cm}
\def\psArc(#1)#2(#3)(#4)#5[#6]#7{%
  \psarc[origin={#1}](#1){#2}{(#3)}{(#4)}%
  \uput{#5}[#6](#1){$#7$}}
\def\Uput[#1](#2){\uput[#1](#2){$#2$}}
\begin{pspicture}[showgrid=false](-0.1,-0.1)(2,2.1)
\pstVerb{/side 1 def}
\pnode(!0 side){A}\Uput[180](A) \pnode{B}\Uput[225](B)
\pnode(!80 sin 2 exp side mul 40 sin div 70 sin div 0){C}\Uput[-45](C)
\pnode(3;20){D'} \rput(C){\pnode(1.5;70){D''}}
\psIntersectionPoint(B)(D')(C)(D''){D}\Uput[0](D)
\rput(C){\pnode(2;140){C'}}
\psIntersectionPoint(B)(D)(C)(C'){Q}   \Uput[80](Q)
\rput(D){\pnode(2;120){E'}} \rput(Q){\pnode(2;90){E''}}
\psIntersectionPoint(D)(E')(Q)(E''){E}\Uput[90](E)
\psIntersectionPoint(A)(D)(B)(E){P}\Uput[110](P)
\pspolygon(A)(B)(C)(D)(E)
\psset{linecolor=red}
\psline(A)(D)\psline(B)(E)
\psset{linecolor=blue}
\psline(P)(C)\psline(B)(D)
\psset{linecolor=magenta,linewidth=0.8pt,arcsep=1.6pt,arrows=<->}
\psArc(A){30pt}(D)(E){15pt}[15]{\theta}
\psArc(B){45pt}(E)(A){25pt}[75]{30^\circ}
\psArc(B){45pt}(C)(D){25pt}[10]{20^\circ}
\psArc(B){45pt}(D)(E){25pt}[40]{\alpha}
\psArc(D){40pt}(A)(B){15pt}[187.5]{30^\circ}
\psArc(D){40pt}(B)(C){15pt}[235]{50^\circ}
\psArc(D){40pt}(E)(A){15pt}[140]{50^\circ}
\psArc(C){35pt}(D)(P){15pt}[100]{70^\circ}
\psArc(C){35pt}(P)(B){13pt}[160]{40^\circ}
\psArc(P){45pt}(C)(D){20pt}[-25]{30^\circ}
\psline[linestyle=dashed](E)(Q)
\end{pspicture}
\end{document}