<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">%\SbSSCTTC{CoordonnĂ©es d'un point}{CoordonnĂ©es d'un point \cite{pst-plot}}{Coordinates of a point}{Coordinates of a point \cite{pst-plot}}
\SbSSCT{CoordonnĂ©es d'un point}{Coordinates of a point}
 

\begin{tabular}{|c|} \hline
 \begin{psgraph}[axesstyle=frame,xticksize=-1.5 1.5 , yticksize=0 13,subticks=0,Dx=1 , dy=.5,Dy=.5] (0,0)(0,-1.5)(13,1.5){12cm}{4cm} 
\psplot[algebraic,plotpoints=200]{0}{12.56}{ sin(x)}
\psCoordinates[linecolor=red,linestyle=dashed,dotstyle=square,dotscale=2](*4 { sin(x)})
\end{psgraph}
%\pspicture(0,-1.1)(8,1.1)
%\psset{xunit=.5cm}
%\psplot[algebraic,plotpoints=200]{0}{12.56}{ sin(x)}
%\psline{-&gt;}(15,0)
%\psline{-&gt;}(0,-1.1)(0,1.1)
%\psCoordinates[linecolor=red,linestyle=dashed,dotstyle=square,dotscale=2](*4 { sin(x)})
%\endpspicture
\\ \hline
\BSS{psCoordinates}[linecolor=red,linestyle=dashed,dotstyle=square,dotscale=2](*4 \AC{sin(x)})  \BSI{psCoordinates}{pst-plot} \\ \hline
\end{tabular} 

%---------------------------------------------
\SbSSCTTC{Tangente}{Tangente \cite{pstricks-add}}{Tangent}{Tangent \cite{pstricks-add}}
\SbSSCT{Tangente}{Tangent}

\SbSbSSCT{Tangente Ă&nbsp; une courbe d'aprĂ¨s un fichier de donnĂ©es}{Tangent to a data file curve }
\BSS{psTangentLine}[Options] (x1,y1)(x2,y2)(x3,y3)\AC{x}\AC{dx}
\psset{llx=-.7cm,lly=-.5cm,urx=.5cm,ury=0.5cm,fillstyle=none}
\BSI{psTangentLine}{pst-plot} 
\begin{center}
\begin{tabular}{|c|} \hline
 \begin{psgraph}[axesstyle=frame,xticksize=0 4cm,yticksize=0 12cm,subticks=0,Dx=100,dy=.01,Dy=.2](0,0)(750,.12){12cm}{4cm} 
\fileplot[linecolor=blue,linewidth=1pt]{mesdata.dat}
\psTangentLine[linecolor=red,arrows=&lt;-&gt;,arrowscale=2] (198,0.0824)(200,0.0811)(202,0.07962){200}{30}
\psTangentLine[linecolor=magenta,arrows=-&gt;,arrowscale=2](118,0.0465)(120,0.0445)(122,0.0428){120}{30}
\end{psgraph} 
\\\hline
\BSS{psTangentLine}[linecolor=magenta,{\red arrows=-&gt;}](118,0.0465)(120,0.0445)(122,0.0428)\AC{120}\AC{30}  \BSI{psTangentLine}{pstricks-add} \\
\BS{}psTangentLine[linecolor=red,{\red arrows=&lt;-&gt;}] (198,0.0824)(200,0.0811)(202,0.07962)\AC{200}\AC{30}

 \\\hline
\end{tabular}
\end{center}


\newpage
\SbSbSSCTTC{Tangente Ă&nbsp; une fonction}{Tangente Ă&nbsp; une fonction \cite{pstricks-add}}{Tangent to a function curve}{Tangent to a function curve \cite{pstricks-add}}
\psset{xunit=1cm,yunit=.8cm}



\TFRGB{syntaxe}{syntax} : \BSS{psplotTangent} * [Options] \AC{x}\AC{dx}\AC{function}
\BSI{psplotTangent}{pst-plot} 


\begin{center}
\begin{tabular}{|c|} \hline
\TFRGB{Commande sans astĂ©risque}{Command without asterisk}  \\ \hline
 \begin{psgraph*}[,xticksize= -1.5 1.5 ,yticksize=13	 , subticks=0, dx=1,Dx=1, dy=.5,Dy=.5](0,0)(0,-1.5)(13,1.5){10cm}{3cm } 
\psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{ sin(x)}
\psplotTangent[linecolor=red,arrows=&lt;-&gt;,arrowscale=2,algebraic=true,linewidth=2pt]{\psPiH}{2}{sin(x)}
\psplotTangent[linecolor=magenta,arrows=&lt;-,arrowscale=2,algebraic=true,linewidth=2pt]{\psPi}{2}{sin(x)}
\psplotTangent[linecolor=green,arrows=-&gt;,arrowscale=2,algebraic=true,linewidth=2pt]{\psPiTwo}{3}{sin(x)}
 \end{psgraph*} 
\\\hline
\BS{psplotTangent}[linecolor=red,arrows=&lt;-&gt;]\AC{\BS{}psPiH}\AC{2}\AC{sin(x)}  \footnotemark[1]  \BSI{psplotTangent}{pstricks-add} \\
\BS{}psplotTangent[linecolor=magenta,arrows=&lt;-]\AC{\BS{}psPi}\AC{2}\AC{sin(x)}\\
\BS{}psplotTangent[linecolor=green,arrows=-&gt;]\AC{\BS{}psPiTwo}\AC{3}\AC{sin(x)}
\\\hline
\TFRGB{Commande avec astĂ©risque}{Command with asterisk}  \\ \hline
 \begin{psgraph*}[,xticksize= -1.5 1.5 ,yticksize=13	 , subticks=0, dx=1,Dx=1, dy=.5,Dy=.5](0,0)(0,-1.5)(13,1.5){10cm}{3cm } 
\psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{ sin(x)}
\psplotTangent*[linecolor=red,arrows=&lt;-&gt;,arrowscale=2,algebraic=true,linewidth=2pt]{\psPiH}{2}{sin(x)}
\psplotTangent*[linecolor=magenta,arrows=&lt;-,arrowscale=2,algebraic=true,linewidth=2pt]{\psPi}{2}{sin(x)}
\psplotTangent*[linecolor=green,arrows=-&gt;,arrowscale=2,algebraic=true,linewidth=2pt]{\psPiTwo}{3}{sin(x)}
 \end{psgraph*} %\\
 \\\hline
 \BS{}psplotTangent*[linecolor=red,arrows=&lt;-&gt;]\AC{\BS{}psPiH}\AC{2}\AC{sin(x)}\\
 \BS{}psplotTangent*[linecolor=magenta,arrows=&lt;-]\AC{\BS{}psPi}\AC{2}\AC{sin(x)}\\
 \BS{}psplotTangent*[linecolor=green,arrows=-&gt;]\AC{\BS{}psPiTwo}\AC{3}\AC{sin(x)}
 \\\hline

\end{tabular}
\end{center}
%\footnotetext[1]{arrowscale=2,algebraic=true,linewidth=2pt} 

%=====================================================================================

\SbSbSSCTTC{Tangente Ă&nbsp; une courbe polaire}{Tangente Ă&nbsp; une courbe polaire \cite{pstricks-add}}{Tangent to a polar curve}{Tangent to a polar curve \cite{pstricks-add}}
\psset{unit=0.4cm}



\begin{center}
\begin{tabular}{|c|c|} \hline
\TFRGB{Commande sans astĂ©risque}{Command without asterisk}   &amp; \TFRGB{Commande avec astĂ©risque}{Command with asterisk} 
 \\\hline
 \begin{psgraph*}[,xticksize= -6 6,yticksize=-6 6 , subticks=0, dx=1,Dx=1, dy=1,Dy=1 ](0,0)(-6,-6)(6,6){4cm}{4cm }
 \psplot[plotstyle=curve,polarplot=true,linecolor=blue,algebraic=true]{0}{\psPiTwo}{6*sin(2*x)}
 \psplotTangent[polarplot,linecolor=red,arrows=-&gt;,arrowscale=2,algebraic=true,linewidth=2pt]{2}{3}{6*sin(2*x)}
 \end{psgraph*}
 &amp;
 \begin{psgraph*}[,xticksize= -6 6,yticksize=-6 6 , subticks=0, dx=1,Dx=1, dy=1,Dy=1 ](0,0)(-6,-6)(6,6){4cm}{4cm }
 \psplot[plotstyle=curve,polarplot=true,linecolor=blue,algebraic=true]{0}{\psPiTwo}{6*sin(2*x)}
 \psplotTangent*[polarplot,linecolor=red,arrows=-&gt;,arrowscale=2,algebraic=true,linewidth=2pt]{2}{3}{6*sin(2*x)}
 \end{psgraph*}
 \\\hline
\multicolumn{2}{|c|}{\BS{}psplotTangent[polarplot,linecolor=red,arrows=-&gt;]\AC{2}\AC{3}\AC{6*sin(2*x)} \footnotemark[1]}
 \\\hline
\end{tabular}
\end{center}

\footnotetext[1]{arrowscale=2,algebraic=true,linewidth=2pt}
%===========================================================

\SbSbSSCTTC{Normale Ă&nbsp; une courbe}{Normale Ă&nbsp; une courbe \cite{pstricks-add}}{Normal of the tangent line}{Normal of the tangent line \cite{pstricks-add}}

\begin{center}
\begin{tabular}{|c|c|} \hline
\begin{psgraph*}[,xticksize=  0 4,yticksize=0 4 , subticks=0, dx=1,Dx=1, dy=1,Dy=1 ](0,0)(0,0)(4,4){4cm}{4cm }
\pscurve[showpoints=true](1,1)(2,3)(3,2)
\psTangentLine[linecolor=blue,arrows=&lt;-&gt;,arrowscale=2,algebraic=true](1,1)(2,3)(3,2){2}{1}
\psTangentLine[linecolor=red,arrows=-&gt;,arrowscale=2,Tnormal](1,1)(2,3)(3,2){2}{1}
\end{psgraph*}
&amp;
 \begin{psgraph*}[,xticksize= -2 1.5 ,yticksize=13	 , subticks=0, dx=1,Dx=1, dy=.5,Dy=.5](0,0)(0,-2)(13,1.5){7cm}{4cm } 
\psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{ sin(x)}
\psplotTangent[linecolor=blue,arrows=&lt;-&gt;,arrowscale=2,algebraic=true]{5}{3}{sin(x)}
\psplotTangent[linecolor=red,algebraic=true,Tnormal,arrows=-&gt;,arrowscale=2]{5}{2}{sin(x)}
 \end{psgraph*} 
 \\ \hline
\BS{psTangentLine}[\RDD{Tnormal}](1,1)(2,3)(3,2)\AC{2}\AC{1}  \RDI{Tnormal}{pstricks-add} 
&amp;
\BS{}psplotTangent[{\red Tnormal}]{5}\AC{2}\AC{sin(x)}
 \\\hline
\end{tabular}
\end{center}



%================================================================
\SbSbSSCTTC{DĂ©rivĂ©e}{DĂ©rivĂ©e \cite{pstricks-add}}{Derivatives of a function}{Derivatives of a function \cite{pstricks-add}}
\psset{unit=1.5cm}


 
\begin{center}
\begin{tabular}{|c|} \hline
 \begin{psgraph*}[,xticksize= -1.5 1.5,yticksize=0 13 , subticks=0, dx=1,Dx=1, dy=.5,Dy=.5 ](0,0)(0,-1.5)(13,1.5){12cm}{3cm }
 \psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{sin(.75*x)}
  \psplot[algebraic,plotpoints=200,linecolor=red,linewidth=2pt]{0}{12.56}{Derive(1,sin(.75*x))}
   \psplot[algebraic,plotpoints=200,linecolor=green,linewidth=2pt]{0}{12.56}{Derive(2,sin(.75*x))}
 \end{psgraph*}
%\pspicture(0,-1.1)(8,1.1)
%\psset{xunit=.75cm}
%\psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{sin(.75*x)}
% \psplot[algebraic,plotpoints=200,linecolor=red,linewidth=2pt]{0}{12.56}{Derive(1,sin(.75*x))}
%  \psplot[algebraic,plotpoints=200,linecolor=green,linewidth=2pt]{0}{12.56}{Derive(2,sin(.75*x))}
%\psline{-&gt;}(15,0)
%\endpspicture

 \\\hline
%\BS{}psplot[algebraic,plotpoints=200,linecolor=blue]\AC{0}\AC{12.56}\AC{sin(.75*x)} \\
\BS{}psplot[algebraic,plotpoints=200,linecolor=red]\AC{0}\AC{12.56}\AC{{\red \RDD{Derive}(\textbf{1},sin(.75*x))}}  \RDI{Derive}{pstricks-add}  \\
\BS{}psplot[algebraic,plotpoints=200,linecolor=green]\AC{0}\AC{12.56}\AC{{\red Derive(\textbf{2},sin(.75*x))}}
 \\\hline
\end{tabular}
\end{center}
%====================================================
\newpage
\SbSbSSCTTC{IntĂ©grale de Riemann}{IntĂ©grale de Riemann \cite{pstricks-add}}{Riemann integral}{Riemann integral \cite{pstricks-add}}
 

\begin{center}
\begin{tabular}{|c|c|} \hline
\psset{xunit=.5cm}
\pspicture(0,-1.1)(13.5,1.1)
\psStep[algebraic,linecolor=magenta,StepType=upper,fillcolor=yellow,fillstyle=solid](0,12.56){24}{ sin(x)}
\psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{ sin(x)}
\psline{-&gt;}(13,0)
\endpspicture
&amp;
\psset{xunit=.5cm}
\pspicture(0,-1.1)(13.5,1.1)
\psStep[algebraic,linecolor=magenta,StepType=u,fillcolor=yellow,fillstyle=solid](0,12.56){24}{ sin(x)}
\psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{ sin(x)}
\psline{-&gt;}(13,0)
\endpspicture
 \\\hline
 \BSS{psStep}[\RDD{StepType}=upper](0,12.56)\AC{24}\AC{sin(x)} \BSI{psStep}{pst-plot}
  \BSI{psStep}{pstricks-add}   \RDI{StepType}{pstricks-add} 
 &amp;
 \BSS{psStep}[\RDD{StepType}=u](0,12.56)\AC{24}\AC{sin(x)}
 \\\hline

\psset{xunit=.5cm}
\pspicture(0,-1.1)(13.5,1.1)
\psStep[algebraic,linecolor=magenta,StepType=lower,fillcolor=yellow,fillstyle=solid](0,12.56){24}{ sin(x)}
\psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{ sin(x)}
\psline{-&gt;}(15,0)
\endpspicture
&amp;
\psset{xunit=.5cm}
\pspicture(0,-1.1)(13.5,1.1)
\psStep[algebraic,linecolor=magenta,StepType=l,fillcolor=yellow,fillstyle=solid](0,12.56){24}{ sin(x)}
\psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{ sin(x)}
\psline{-&gt;}(13,0)
\endpspicture
 \\\hline
 \BS{psStep}[\RDD{StepType}=lower](0,12.56)\AC{24}\AC{sin(x)}&amp;
 \BS{}psStep[\RDD{StepType}=l](0,12.56)\AC{24}\AC{sin(x)}
 \\\hline
\psset{xunit=.5cm}
\pspicture(0,-1.1)(13.5,1.1)
\psStep[algebraic,linecolor=magenta,StepType=Riemann,fillcolor=yellow,fillstyle=solid](0,12.56){24}{ sin(x)}
\psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{ sin(x)}
\psline{-&gt;}(15,0)
\endpspicture
&amp;
\psset{xunit=.5cm}
\pspicture(0,-1.1)(13.5,1.1)
\psStep[algebraic,linecolor=magenta,StepType=R,fillcolor=yellow,fillstyle=solid](0,12.56){24}{ sin(x)}
\psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{ sin(x)}
\psline{-&gt;}(13,0)
\endpspicture
 \\\hline
 \BS{}psStep[\RDD{StepType}=Riemann](0,12.56)\AC{24}\AC{sin(x)}&amp;
 \BS{}psStep[\RDD{StepType}=R](0,12.56)\AC{24}\AC{sin(x)}
 \\\hline

\psset{xunit=.5cm}
\pspicture(0,-1.1)(13.5,1.1)
%\psaxes[Dx=100,Dy=.02]{-&gt;}(13,1.5)


\psStep[algebraic,linecolor=magenta,StepType=infimum,fillcolor=yellow,fillstyle=solid](0,12.56){24}{ sin(x)}
\psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{ sin(x)}
\psline{-&gt;}(15,0)
\endpspicture
&amp;
\psset{xunit=.5cm}
\pspicture(0,-1.1)(13.5,1.1)
\psStep[algebraic,linecolor=magenta,StepType=i,fillcolor=yellow,fillstyle=solid](0,12.56){24}{ sin(x)}
\psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{ sin(x)}
\psline{-&gt;}(13,0)
\endpspicture
 \\\hline
 \BS{}psStep[\RDD{StepType}=infimum](0,12.56)\AC{24}\AC{sin(x)}&amp;
 \BS{}psStep[\RDD{StepType}=i](0,12.56)\AC{24}\AC{sin(x)}
 \\\hline
 
\psset{xunit=.5cm}
\pspicture(0,-1.1)(13.5,1.1)
%\psaxes[Dx=100,Dy=.02]{-&gt;})(13,1.5)

\psStep[algebraic,linecolor=magenta,StepType=supremum,fillcolor=yellow,fillstyle=solid](0,12.56){24}{ sin(x)}
\psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{ sin(x)}
\psline{-&gt;}(15,0)
\endpspicture
&amp;
\psset{xunit=.5cm}
\pspicture(0,-1.1)(13.5,1.1)
\psStep[algebraic,linecolor=magenta,StepType=s,fillcolor=yellow,fillstyle=solid](0,12.56){24}{ sin(x)}
\psplot[algebraic,plotpoints=200,linecolor=blue]{0}{12.56}{ sin(x)}
\psline{-&gt;}(13,0)
\endpspicture
 \\\hline
 \BS{}psStep[\RDD{StepType}=supremum](0,12.56)\AC{24}\AC{sin(x)}&amp;
 \BS{}psStep[\RDD{StepType}=s](0,12.56)\AC{24}\AC{sin(x)}
 \\\hline

\end{tabular}
\end{center}

\SbSbSSCTTC{MĂ©thode de Newton}{MĂ©thode de Newton \cite{pst-plot}}{Newton method}{Newton method \cite{pst-plot}}

\TFRGB{syntaxe}{syntax} : \BS{psNewton} [Options] \AC{$x0$} \AC{f(x)} \AC{\TFRGB{nombre d'itĂ©ration}{number of iteration}}

\bigskip
\psset{yunit=.5cm}
\begin{tabular}{|c|c|}
\hline 
\multicolumn{2}{|c|}{\BS{}psplot[algebraic,linestyle=dotted]\AC{0}\AC{12.56}\AC{0.5*x $\hat{}$  2-2} }\\ 
\multicolumn{2}{|c|}{\BSS{psNewton}[linecolor=red]\AC{4}\AC{0.5*x $\hat{}$ 2-2}\AC{20}  \BSI{psNewton}{pst-plot} }\\ \hline 	 
\begin{pspicture}*[algebraic,shift=*](-1,-2)(5,7)
%\psframe(-1,-2)(5,7)
\psaxes{-&gt;}(4.5,6)
\psplot[algebraic,plotpoints=200,linestyle=dotted]{0}{12.56}{0.5*x^2-2}
\psframe[linestyle=dashed,linecolor=green](1.9,-.2)(2.2,.5)
\pnode(2.2,0.2){A}
\psNewton[linecolor=red,linewidth=0.5pt]{4}{0.5*x^2-2}{20}
\end{pspicture}
&amp;  
\psset{unit=15cm,yunit=6cm}
\begin{pspicture}*[algebraic,shift=*](1.9,-.25)(2.2,.55)
\psaxes[Dx=.1]{-&gt;}(4,4)
\psplot[algebraic,plotpoints=200,linestyle=dotted]{1.5}{2.5}{0.5*x^2-2}
\psframe[linestyle=dashed,linecolor=green](1.9,-.2)(2.2,.5)
\pnode(1.9,0.2){B}

\psNewton[linecolor=red,linewidth=0.5pt,arrowscale=3]{2.1}{0.5*x^2-2}{2}
\end{pspicture}
\\ 
\hline 
\end{tabular} 
%------------------------------
\ncline[linestyle=dashed,linecolor=green]{-&gt;}{A}{B}
\bigskip


\begin{tabular}{|c|c|}
\hline 
\multicolumn{2}{|c|}{\BSS{psNewton}[linecolor=red,\RDD{plotstyle=xvalues}]\AC{4}\AC{0.5*x $\hat{}$ 2-2}\AC{1}  \BSI{psNewton}{pst-plot} }\\ \hline 	 
\begin{pspicture}*[algebraic,shift=*](-1,-2)(5,7)
%\psframe(-1,-2)(5,7)
\psaxes{-&gt;}(4.5,6)
\psplot[algebraic,plotpoints=200,linestyle=dotted]{0}{12.56}{0.5*x^2-2}
\psframe[linestyle=dashed,linecolor=green](1.9,-.2)(2.2,.5)
\psNewton[linecolor=red,linewidth=0.5pt]{4}{0.5*x^2-2}{20}
\psNewton[linecolor=red,linewidth=0.5pt,plotstyle=xvalues]{4}{0.5*x^2-2}{1}
\end{pspicture}
&amp;  
\psset{unit=15cm,yunit=6cm}
\begin{pspicture}*[algebraic,shift=*](1.9,-.25)(2.2,.55)
\psaxes[Dx=.1]{-&gt;}(4,4)
\psplot[algebraic,plotpoints=200,linestyle=dotted]{1.5}{2.5}{0.5*x^2-2}
\psframe[linestyle=dashed,linecolor=green](1.9,-.2)(2.2,.5)
\psNewton[linecolor=red,linewidth=0.5pt]{2.1}{0.5*x^2-2}{2}
\psNewton[linecolor=red,linewidth=0.5pt,plotstyle=xvalues]{2.1}{0.5*x^2-2}{1}
\end{pspicture}
\\ \hline 
\end{tabular} 
%---------------------------------------------------------

\bigskip
\begin{tabular}{|c|c|}
\hline 
\multicolumn{2}{|c|}{\BSS{psNewton}[linecolor=red,{\red showDerivation=false}]\AC{4}\AC{0.5*x $\hat{}$ 2-2}\AC{1} }\\ \hline  
\begin{pspicture}*[algebraic,shift=*](-.5,-3)(5,7)
\psaxes{-&gt;}(10,10)
\psplot[algebraic,plotpoints=200,linestyle=dotted]{0}{12.56}{0.5*x^2-2}
\psNewton[linecolor=red,linewidth=0.5pt,showDerivation=false]{4}{0.5*x^2-2}{20}
\end{pspicture}
&amp;  
\begin{pspicture}*[algebraic,shift=*](-.5,-3)(5,7)
\psaxes{-&gt;}(10,10)
\psplot[algebraic,plotpoints=200,linestyle=dotted]{0}{12.56}{0.5*x^2-2}
\psNewton[linecolor=red,linewidth=0.5pt,showDerivation=true]{4}{0.5*x^2-2}{20}
\end{pspicture}
\\ 
\hline \RDD{showDerivation} {\red =false } &amp;   {\red  showDerivation=true} (par dĂ©faut) \\ 
\hline 
\end{tabular} 

\newpage
\subsection[Macro psFixpoint]{Macro psFixpoint \cite{pst-plot}}
\TFRGB{syntaxe}{syntax} : \BS{psFixpoint} [Options] \AC{$x_0$}\AC{f(x)}\AC{\TFRGB{nombre d'itĂ©ration}{number of iteration}}

\bigskip
\begin{tabular}{|c|}
\hline  
\psset{unit=.5cm}

\begin{pspicture}*[algebraic](-2.5,-2)(10,10.5)
%\pframe(-2.5,-2)(10,10.5)
\psaxes{-&gt;}(10,10)
\psplot[algebraic,plotpoints=200,linestyle=dotted,linewidth=2pt]{1}{10}{0.2*x^2-2}
\psline[linecolor=red,linestyle=dashed](10,10)
\psFixpoint[linecolor=red]{6}{0.2*x^2-2}{3}
\end{pspicture}
\psset{unit=1cm}
\\  \hline 
\BS{}psplot[algebraic,linestyle=dotted]\AC{1}\AC{10}\AC{0.5*x $\hat{}$ 2-2} \\
\BS{}psline[linecolor=red,linestyle=dashed](10,10) \\
\BSS{psFixpoint}[linecolor=red]\AC{6}\AC{0.5*x $\hat{}$ 2-2}\AC{3} \BSI{psFixpoint}{pst-plot}  \\ \hline 
\end{tabular} 

\psset{unit=1cm,yunit=1cm}


\newpage
\subsection[Macro psVectorfield]{Macro psVectorfield \cite{pst-plot}}

\label{vec}
\begin{tabular}{|c|} \hline  
Solutions de $ \dfrac{dy}{dx}=x+y+1 $
\\ \hline  
\BSS{psVectorfield}[algebraic](-2,-2)(2,2)\AC{ x+y+1} \BSI{psVectorfield}{pst-plot} 
\\ \hline  
\psset{unit=1.5cm}
\begin{pspicture}(-2.5,-2.2)(2.5,2.2)
\psVectorfield[algebraic](-2,-2)(2,2){ x+y+1}
\end{pspicture}
\\ \hline 
\end{tabular} 




\bigskip

\begin{tabular}{|c|} \hline 
\BSS{psVectorfield}[algebraic,\RDD{Dx}=0.3,\RDD{Dy}=0.3](-2,-2)(2,2)\AC{ x+y+1}  \RDI{Dx}{pst-plot}   \RDI{Dy}{pst-plot} 
\\ \hline  
\psset{unit=1.5cm}
\begin{pspicture}(-2.2,-2.5)(2.2,2.5)
%\psaxes[ticksize=0 4pt,axesstyle=frame,tickstyle=inner,subticks=20,
%Ox=-1,Oy=-1](-1,-1)(1,1)
%\psset{arrows=-&gt;,algebraic}
\psVectorfield[algebraic,Dx=.3,Dy=.3](-2,-2)(2,2){ x+y+1}
\end{pspicture}
\\ \hline  
\dft : Dx= 0.1 , Dy= 0.1
\\ \hline 
\end{tabular} </pre></body></html>