\SbSbSSCT{Intersection de deux droites}{Intersection of two lines}
%\verb \pstInterLL %[hpari]{hAi}{hBi}{hCi}{hDi}{hMi}

\begin{center}
\begin{tabular}{|c|} \hline
\begin{pspicture}(-.5,-.5)(5,4.5)
\psaxes[xticksize=4,yticksize=5,axesstyle=frame](5,4)
\pstGeonode(1,3){A} (4,1){B} (2,1){C} (4,3.5){D}

\psline[linecolor=Vert](A)(B)
\psline[linecolor=cyan](C)(D)
\pstInterLL[linecolor=red]{A}{B}{C}{D}{E}
\end{pspicture}
\\ \hline
\BSS{pstInterLL}[linecolor=red]{\Vert\AC{A}\AC{B}}{\cyan\AC{C}\AC{D}}{\red\AC{E}}  \BSI{pstInterLL}{pst-eucl}\\ \hline
\end{tabular}
\end{center}

%-----------------

\SbSbSSCT{Intersection d'une droite et un cercle}{Intersection of a line and a circle}

\begin{center}
\begin{tabular}{|c|} \hline
\begin{pspicture}(-.5,-.5)(5,4.5)
\psaxes[xticksize=4,yticksize=5,axesstyle=frame](5,4)
\pstGeonode(1,3.5){A}(4,1){B}(2,2){C}(1,2){D}
\psline[linecolor=Vert](A)(B)
\pstCircleOA[linecolor=cyan]{C}{D}
\pstInterLC[linecolor=red]{A}{B}{C}{D}{E}{F}
\end{pspicture}
\\ \hline
\BSS{pstInterLC}{\Vert\AC{A}\AC{B}}{\cyan\AC{C}\AC{D}}{\red\AC{E}\AC{F}} \BSI{pstInterLC}{pst-eucl} \\ \hline
\end{tabular}
\end{center}

\bigskip
\begin{center}
       \begin{tabular}{|c|} \hline
\begin{pspicture}(-.5,-.5)(5,4.5)
\psaxes[xticksize=4,yticksize=5,axesstyle=frame](5,4)
\pstGeonode(1,3.5){A}(4,1){B}(2,2){C}
\psline[linecolor=Vert](A)(B)
\pscircle[linestyle=dotted](C){1}
\pstInterLC[linecolor=red,Radius=\pstDistVal{1}]{A}{B}{C}{}{E}{F}
\end{pspicture}
\\ \hline
\BSS{pstInterLC}[Radius=\BS{pstDistVal}\AC{1}]{\Vert\AC{A}\AC{B}}{\cyan\AC{C}\AC{}}{\red\AC{E}\AC{F}} \BSI{pstInterLC}{pst-eucl} \\ \hline

\end{tabular}
\end{center}


%------------

\SbSbSSCT{Intersection de deux cercles}{Intersection of two circles}


\begin{center}
\begin{tabular}{|c|} \hline
\begin{pspicture}(-.5,-.5)(5,5.5)
\psaxes[ticksize=5,axesstyle=frame](5,5)
\pstGeonode(2,3){A}(1,3){B}(3,2){C}(4,1){D}
\pstCircleOA[linecolor=Vert]{A}{B}
\pstCircleOA[linecolor=cyan]{C}{D}
\pstInterCC[linecolor=red,PosAngleA=45,PosAngleB=225,]{A}{B}{C}{D}{E}{F}
\end{pspicture}
\\ \hline
\BSS{pstInterCC}[linecolor=red,PosAngleA=45,PosAngleB=225]\\
{\Vert\AC{A}\AC{B}}{\cyan\AC{C}\AC{D}}{\red\AC{E}\AC{F}} \BSI{pstInterCC}{pst-eucl}
\\ \hline
\end{tabular}
\end{center}

\begin{center}
\begin{tabular}{|c|} \hline
\begin{pspicture}(-.5,-.5)(5,5.5)
\psaxes[ticksize=5,axesstyle=frame](5,5)
\pstGeonode(2,3){A}(1,3){B}(3,2){C}(4,1){D}
\pstInterCC[PosAngleA=135,PosAngleB=135, CodeFig=true, CodeFigColor=red]{A}{B}{C}{D}{E}{F}
\end{pspicture} \\ \hline
CodeFig=true  \\ \hline
\end{tabular}
\end{center}

\begin{tabular}{|c|c|c|} \hline
\begin{pspicture}(-.5,-.5)(5,5.5)
\psaxes[ticksize=5,axesstyle=frame](5,5)
\pstGeonode(2,3){A}(1,3){B}(3,2){C}(4,1){D}
\pstInterCC[PosAngleA=135,PosAngleB=135, CodeFig=true,CodeFigAarc=false, CodeFigColor=red]{A}{B}{C}{D}{E}{F}
\end{pspicture}
&
\begin{pspicture}(-.5,-.5)(5,5.5)
\psaxes[ticksize=5,axesstyle=frame](5,5)
\pstGeonode(2,3){A}(1,3){B}(3,2){C}(4,1){D}
\pstInterCC[PosAngleA=135,PosAngleB=135,CodeFig=true, CodeFigBarc=false, CodeFigColor=red]{A}{B}{C}{D}{E}{F}
\end{pspicture}
\\ \hline
CodeFig=true & CodeFig=true \\
\RDD{CodeFigAarc}=false  \RDI{CodeFigAarc}{pst-eucl} & \RDD{CodeFigBarc}=false  \RDI{CodeFigBarc}{pst-eucl}
\\ \hline
 \blue \dft : CodeFigAarc =true  & { \blue \dft : CodeFigBarc =true  } \\  \hline
%& \dft : CodeFigAarc =true & CodeFigBarc =true
%\\ \hline
\end{tabular}

%---------
\SbSbSSCT{Intersection de deux courbes}{Intersection of two  plots}


\psset{unit=.5cm}
\begin{center}
\begin{tabular}{|c|} \hline
\begin{pspicture}*(-5,-2)(5,6.5)
\psaxes[xticksize=-1 6,yticksize=-4 4,axesstyle=frame](0,0)(-4,-1)(4,6)
\def \F{x 2 exp neg 5 add }
\def \G{x 2 exp }
\psplot[linecolor=Vert]{-2.5}{2.5}{\F}
\psplot[linecolor=cyan]{-2.5}{2.5}{\G}
\pstInterFF[linecolor=red]{\F}{\G}{1}{A}
\pstInterFF[linecolor=red]{\F}{\G}{-1}{B}
\end{pspicture} \\ \hline
\BS{}def {\Vert\BS{}F\AC{x 2 exp neg 5 add}}  \\
\BS{}def {\cyan\BS{}G\AC{x 2 exp}}\\
\BSS{pstInterFF}\AC{{\Vert\BS{}F}}\AC{{\cyan\BS{}G}}\AC{1}{\red\AC{A}} \BSI{pstInterFF}{pst-eucl} \\
\BSS{pstInterFF}\AC{{\Vert\BS{}F}}\AC{{\cyan\BS{}G}}\rnode{D}{\AC{-1}}{\red\AC{B}} \BSI{pstInterFF}{pst-eucl}
\\ \hline
\end{tabular}
\end{center}

\rnode{C}{\psframebox{\TFRGB{point d'intersection le plus proche de}{point of intersection nearest to x=-1}}} \ncdiagg{->}{C}{D}
\psset{unit=1cm}


%--------------------------------------------------
\SbSbSSCT{Intersection d'une droite et d'une courbe}{Intersection of a line and a curve}


\psset{unit=.5cm}
\begin{center}
\begin{tabular}{|c|} \hline
\begin{pspicture}*(-5,-2)(5,6.5)
\psaxes[xticksize=-1 6,yticksize=-4 4,axesstyle=frame](0,0)(-4,-1)(4,6)
\pstGeonode(-3,5){A}(3,2){B}
\pstLineAB[linecolor=cyan]{A}{B}
\def \F{x 2 exp neg 5 add }
\psplot[linecolor=Vert]{-2.5}{2.5}{\F}
\pstInterFL[linecolor=red]{\F}{A}{B}{1}{C}
\end{pspicture}
\\ \hline
{\cyan\BS{pstLineAB}\AC{A}\AC{B}} \\
\BS{def} {\Vert\BS{}F\AC{x 2 exp neg 5 add}} \\
\BS{pstInterFL}\AC{{\Vert\BS{}F}}{\cyan\AC{A}\AC{B}}\AC{1}{\red\AC{C}} \BSI{pstInterFL}{pst-eucl}
\\ \hline
\end{tabular}
\end{center}

\psset{unit=1cm}
%----------------------------------------------------------------------
\SbSbSSCT{Intersection d'un cercle et d'une courbe}{Intersection of a circle and a curve}
%\verb \pstInterFC %[hpari]{hfi}{hOi}{hAi}{hx0 i}{hMi}


\psset{unit=.5cm}

\begin{center}
\begin{tabular}{|c|} \hline
\begin{pspicture}*(-5,-5)(5.5,6.5)
\psaxes[xticksize=-4 6,yticksize=-5 5,axesstyle=frame](0,0)(-5,-4)(5,6)
\pstGeonode[linecolor=cyan](0,0){A}(-3,2){B}
\pstCircleOA[linecolor=cyan]{A}{B}

\def \F{x 2 exp neg 5 add }
\psplot[linecolor=Vert]{-3}{3}{\F}
%
\pstInterFC[linecolor=red]{\F}{A}{B}{-1}{C}
\pstInterFC[linecolor=red]{\F}{A}{B}{1}{D}
\pstInterFC[linecolor=red]{\F}{A}{B}{-3}{E}
\end{pspicture}
\\ \hline
\BS{}def {\Vert  \BS{}F\AC{x 2 exp neg 5 add }} : fonction  $5 - x^2$\\
{\cyan\BS{}pstCircleOA\AC{A}\AC{B}}\\
\BSS{pstInterFC}\AC{{\Vert\BS{}F}}{\cyan\AC{A}\AC{B}}\AC{-1}{\red\AC{C}} \BSI{pstInterFC}{pst-eucl}\\
\BS{pstInterFC}\AC{{\Vert\BS{}F}}{\cyan\AC{A}\AC{B}}\AC{1}{\red\AC{D}}\\
\BS{pstInterFC}\AC{{\Vert\BS{}F}}{\cyan\AC{A}\AC{B}}\AC{3}{\red\AC{E}} \\
\BS{pstInterFC}{\blue\AC{{\Vert\BS{}F}}}{\cyan\AC{A}\AC{B}}{\red\AC{1}\AC{D}}\\
\BS{pstInterFC}{\blue\AC{{\Vert\BS{}F}}}{\cyan\AC{A}\AC{B}}{\red\AC{3}\AC{E}}
\\ \hline
\end{tabular}
\end{center}
\psset{unit=1cm}

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