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%%
%% 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{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}
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