%% 
%%  Ein Beispiel der DANTE-Edition
%%  
%%  7. Auflage
%% 
%%  Beispiel 32-05-39 auf Seite 797.
%% 
%%  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
%% 
%% 
\documentclass[]{exaarticle}
\pagestyle{empty}
\setlength\textwidth{193.16928pt}
\setlength\parindent{0pt}
\usepackage[utf8]{inputenc}
%StartShownPreambleCommands
\usepackage{pst-thick,pst-node,multido}
%StopShownPreambleCommands
\begin{document}
\begin{pspicture}(-1,-3)(10,3)
\psthick[curveonly,E=2,K=45]{0}{10}{\fonctionSinus{10}{2}}
\multido{\i=0+1}{11}{%
\pnode(! /t \i\space def /E 2 def  /K 45 def
    /dt 10 360 div def \fonctionSinus{10}{2}
    /ds dx dup mul dy dup mul add sqrt def
    /dx dx ds div def /dy dy ds div def
    /dx' K cos dx mul K sin dy mul sub def
    /dy' K sin dx mul K cos dy mul add def
    /nx E 2 div dy' mul neg def % normale x
    /ny E 2 div dx' mul def % normale y
    x0 nx add y0 ny add ){A}
\psdot[linecolor=red](A) \pnode(! x0 nx sub y0 ny sub ){B}
\psdot[linecolor=red](B) \psdot(!t O t mul sin A mul) \psline(A)(B)}
\parametricplot[linestyle=dashed]{0}{10}{ t O t mul sin A mul }
\psaxes(0,0)(-1,-3)(10,3)
\end{pspicture}
\end{document}
