%% 
%%  Ein Beispiel der DANTE-Edition
%%  
%%  7. Auflage
%% 
%%  Beispiel 29-03-7 auf Seite 643.
%% 
%%  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{352.81416pt}
\setlength\parindent{0pt}
%StartShownPreambleCommands
\usepackage{pstricks-add}
\def\Lissa{t dup 2 RadtoDeg mul cos 3.5 mul exch 6 mul RadtoDeg sin 3.5 mul}
%StopShownPreambleCommands
\begin{document}
\psset{unit=0.75cm}
\begin{pspicture}(-4,-5)(4,5)%  SEKANTENsteigung
  \parametricplot[plotpoints=500,linewidth=1.5pt]{0}{3.141592}{\Lissa}
  \multido{\r=0.000+0.314}{11}{%
    \psplotTangent[arrows=<->,linecolor=black!40]{\r}{1.5}{\Lissa}}
  \multido{\r=0.157+0.314}{11}{%
    \psplotTangent[arrows=<->,linecolor=black!40]{\r}{1.5}{\Lissa}}
  \rput(0,4.5){Sekantensteigung}
\end{pspicture}\hfill%
%
\def\LissaAlg{3.5*cos(2*t)|3.5*sin(6*t)}
\def\LissaAlgDer{-7*sin(2*t)|21*cos(6*t)}
\begin{pspicture}(-4,-5)(4,5)%  TANGENTENsteigung
  \parametricplot[algebraic,plotpoints=500,
    linewidth=1.5pt]{0}{3.141592}{\LissaAlg}
  \multido{\r=0.000+0.314}{11}{%
    \psplotTangent[algebraic,arrows=<->,linecolor=black!40]{\r}{1.5}{\LissaAlg} }
  \multido{\r=0.157+0.314}{11}{%
  \psplotTangent[algebraic,arrows=<->,linecolor=black!40,%
     Derive=\LissaAlgDer]{\r}{1.5}{\LissaAlg} }
  \rput(0,4.5){Tangentensteigung}
\end{pspicture}
\end{document}