\SbSbSSCT{Point milieu}{midpoint} %\verb \pstMiddleAB %[hpari]{hAi}{hBi}{hIi} \begin{tabular}{|c|c|}\hline \multicolumn{2}{|c|}{ \BSS{pstMiddleAB}[linecolor=red]\AC{A}\AC{B}\AC{C} \BSI{pstMiddleAB}{pst-eucl} }\\ \hline \begin{pspicture}(-.5,-.5)(4,3.5) \psaxes[xticksize=3,yticksize=4,axesstyle=frame](4,3) \pstGeonode(1,2){A}(3,1){B} \pstMiddleAB[linecolor=red]{A}{B}{C} \end{pspicture} & \begin{pspicture}(-.5,-.5)(4,3.5) \psaxes[xticksize=3,yticksize=4,axesstyle=frame](4,3) \pstGeonode(1,2){A}(3,1){B} \pstMiddleAB[CodeFig,CodeFigColor=green]{A}{B}{C} \end{pspicture} \\ \hline [linecolor=red] & [CodeFig,CodeFigColor=green] \\ \hline \end{tabular} %\begin{center} %\begin{tabular}{|c|} \hline %\begin{pspicture}(-.5,-.5)(4,3.5) %\psaxes[xticksize=3,yticksize=4,axesstyle=frame](4,3) %\pstGeonode(1,2){A}(3,1){B} %\pstMiddleAB[linecolor=red]{A}{B}{C} %\end{pspicture} %\\ \hline %\BSS{pstMiddleAB}[linecolor=red]\AC{A}\AC{B}\AC{C} \BSI{pstMiddleAB}{pst-eucl} \\ \hline %\end{tabular} %\end{center} %-------------------- \SbSbSSCT{Centre de gravité d'un triangle}{Center of gravity of a triangle} %\verb \pstCGravABC %[hpari]{hAi}{hBi}{hCi}{hGi} \begin{center} \begin{tabular}{|c|} \hline \begin{pspicture}(-.5,-.5)(5,5.5) \psaxes[ticksize=5,axesstyle=frame](5,5) \pstTriangle(1,2){A}(3,1){B}(4,4){C} \pstCGravABC[linecolor=red]{A}{B}{C}{G} \end{pspicture} \\ \hline \BSS{pstCGravABC}[linecolor=red]\AC{A}\AC{B}\AC{C}\AC{G} \BSI{pstCGravABC}{pst-eucl} \\ \hline \end{tabular} \end{center} %---------- \SbSbSSCT{Centre du cercle circonscrit d'un triangle}{Circumcenter of a triangle} \begin{tabular}{|c|c|c|}\hline \multicolumn{3}{|c|}{ \BSS{pstCircleABC}\AC{A}\AC{B}\AC{C}\AC{O} \BSI{pstCircleABC}{pst-eucl} } \\ \hline \begin{pspicture}(-.5,-.5)(5,5.5) \psaxes[ticksize=5,axesstyle=frame](5,5) \pstTriangle(1,2){A}(4,1){B}(3,4){C} \pstCircleABC[linecolor=red,linewidth=1pt]{A}{B}{C}{O} \end{pspicture} & \begin{pspicture}(-.5,-.5)(5,5.5) \psaxes[ticksize=5,axesstyle=frame](5,5) \pstTriangle(1,2){A}(4,1){B}(3,4){C} \pstCircleABC[CodeFig,CodeFigColor=red,linewidth=1pt]{A}{B}{C}{O} \end{pspicture} & \begin{pspicture}(-.5,-.5)(5,5.5) \psaxes[ticksize=5,axesstyle=frame](5,5) \pstTriangle(1,2){A}(4,1){B}(3,4){C} \pstCircleABC[CodeFig,CodeFigColor=red,DrawCirABC=false,linewidth=1pt]{A}{B}{C}{O} \end{pspicture} \\ \hline [linecolor=red] & [CodeFig,CodeFigColor=green] & [CodeFig,CodeFigColor=green \\ && ,\RDD{DrawCirABC=false} \RDI{DrawCirABC}{pst-eucl} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|c|}\hline \multicolumn{3}{|c|}{ \BS{pstCircleABC}[CodeFig,CodeFigColor=red,\RDD{SegmentSymbolA}=MarkCros]\AC{A}\AC{B}\AC{C}\AC{O} \RDI{SegmentSymbolA}{pst-eucl} } \\ \hline \begin{pspicture}(-.5,-.5)(5,5.5) \psaxes[ticksize=5,axesstyle=frame](5,5) \pstTriangle(1,2){A}(4,1){B}(3,4){C} \pstCircleABC[CodeFig,CodeFigColor=red,linewidth=1pt,SegmentSymbolA=MarkCros]{A}{B}{C}{O} \end{pspicture} & \begin{pspicture}(-.5,-.5)(5,5.5) \psaxes[ticksize=5,axesstyle=frame](5,5) \pstTriangle(1,2){A}(4,1){B}(3,4){C} \pstCircleABC[CodeFig,CodeFigColor=red,linewidth=1pt,SegmentSymbolB=MarkCros]{A}{B}{C}{O} \end{pspicture} & \begin{pspicture}(-.5,-.5)(5,5.5) \psaxes[ticksize=5,axesstyle=frame](5,5) \pstTriangle(1,2){A}(4,1){B}(3,4){C} \pstCircleABC[CodeFig,CodeFigColor=red,linewidth=1pt,,SegmentSymbolC=MarkCros]{A}{B}{C}{O} \end{pspicture} \\ \hline \RDD{SegmentSymbolA}=MarkCros \RDI{SegmentSymbolA}{pst-eucl} & \RDD{SegmentSymbolB}=MarkCros \RDI{SegmentSymbolB}{pst-eucl} & \RDD{SegmentSymbolC}=MarkCros \RDI{SegmentSymbolC}{pst-eucl} \\ \hline \end{tabular} % %\begin{center} %\begin{tabular}{|c|} \hline %\begin{pspicture}(-.5,-.5)(5,5.5) %\psaxes[ticksize=5,axesstyle=frame](5,5) %\pstTriangle(1,2){A}(4,1){B}(3,4){C} %\pstCircleABC[linecolor=red,linestyle=dashed]{A}{B}{C}{O} %\end{pspicture}\\ \hline %\BSS{pstCircleABC}\AC{A}\AC{B}\AC{C}\AC{O} \BSI{pstCircleABC}{pst-eucl} \\ \hline %\end{tabular} %\end{center} %------------ \SbSbSSCT{Perpendiculaire par rapport à une droite}{Perpendicular to a line} \begin{tabular}{|c|c|}\hline \multicolumn{2}{|c|}{ \BSS{pstMediatorAB}\AC{A}\AC{B}\AC{C}\AC{D} \BSI{pstMediatorAB}{pst-eucl} }\\ \hline \begin{pspicture}(-.5,-.5)(6,4.5) \psaxes[xticksize=4,yticksize=6,axesstyle=frame](6,4) \pstGeonode[CurveType=polyline](1,2){A}(5,1){B} \pstMediatorAB[linecolor=red]{A}{B}{C}{D} \end{pspicture} & \begin{pspicture}(-.5,-.5)(6,4.5) \psaxes[xticksize=4,yticksize=6,axesstyle=frame](6,4) \pstGeonode[CurveType=polyline](1,2){A}(5,1){B} \pstMediatorAB[CodeFig,CodeFigColor=red]{A}{B}{C}{D} \end{pspicture} \\ \hline [linecolor=red] & [CodeFig,CodeFigColor=red] \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|c|}\hline \multicolumn{3}{|c|}{ \BS{pstMediatorAB}[linecolor=red,PointName=none,\RDD{nodesep}=-1]\AC{A}\AC{B}\AC{C}\AC{D} \RDI{nodesep}{pst-eucl} }\\ \hline \begin{pspicture}(-.5,-.5)(5,4.5) \psaxes[xticksize=4,yticksize=4,axesstyle=frame](4,4) \pstGeonode[CurveType=polyline](1,2){A}(3,1){B} \pstMediatorAB[linecolor=red,PointName=none,nodesep=-1]{A}{B}{C}{D} \end{pspicture} & \begin{pspicture}(-.5,-.5)(5,4.5) \psaxes[xticksize=4,yticksize=4,axesstyle=frame](4,4) \pstGeonode[CurveType=polyline](1,2){A}(3,1){B} \pstMediatorAB[linecolor=red,PointName=none,nodesepA=-2]{A}{B}{C}{D} \end{pspicture} & \begin{pspicture}(-.5,-.5)(5,4.5) \psaxes[xticksize=4,yticksize=4,axesstyle=frame](4,4) \pstGeonode[CurveType=polyline](1,2){A}(3,1){B} \pstMediatorAB[linecolor=red,PointName=none,nodesepB=-0.5]{A}{B}{C}{D} \end{pspicture} \\ \hline \RDD{nodesep}=-1 \RDI{nodesep}{pst-eucl} & \RDD{nodesepA}=-2 \RDI{nodesepA}{pst-eucl} & \RDD{nodesepB}=-0.5 \RDI{nodesepA}{pst-eucl} \\ \hline \begin{pspicture}(-.5,-.5)(5,4.5) \psaxes[xticksize=4,yticksize=4,axesstyle=frame](4,4) \pstGeonode[CurveType=polyline](1,2){A}(3,1){B} \pstMediatorAB[linecolor=red,PointName=none,nodesep=0.3]{A}{B}{C}{D} \end{pspicture} & \begin{pspicture}(-.5,-.5)(5,4.5) \psaxes[xticksize=4,yticksize=4,axesstyle=frame](4,4) \pstGeonode[CurveType=polyline](1,2){A}(3,1){B} \pstMediatorAB[linecolor=red,PointName=none,nodesepA=0.3]{A}{B}{C}{D} \end{pspicture} & \begin{pspicture}(-.5,-.5)(5,4.5) \psaxes[xticksize=4,yticksize=4,axesstyle=frame](4,4) \pstGeonode[CurveType=polyline](1,2){A}(3,1){B} \pstMediatorAB[linecolor=red,PointName=none,nodesepB=0.3]{A}{B}{C}{D} \end{pspicture} \\ \hline \RDD{nodesep}=0.3 & \RDD{nodesepA}=0.3 &\RDD{nodesepB}=0.3 \\ \hline \end{tabular} %\begin{center} %\begin{tabular}{|c|c|} \hline %\begin{pspicture}(-.5,-.5)(4,3.5) %\psaxes[xticksize=3,yticksize=4,axesstyle=frame](4,3) %\pstGeonode[CurveType=polyline](1,2){A}(3,1){B} % %\pstMediatorAB[linecolor=red]{A}{B}{C}{D} %\end{pspicture} %\\ \hline %\BSS{pstMediatorAB}\AC{A}\AC{B}\AC{C}\AC{D} \BSI{pstMediatorAB}{pst-eucl} \\ \hline %\end{tabular} %\end{center} %--------- \SbSbSSCT{Bissectrice d'un angle}{Bissector} %\verb \pstBissectBAC %[hpari]{hBi}{hAi}{hCi}{hNi} % %\verb \pstOutBissectBAC %[hpari]{hBi}{hAi}{hCi}{hNi} \begin{center} \begin{tabular}{|c|c|} \hline \begin{pspicture}(-.5,-1.5)(5.5,3.5) \psaxes[xticksize=4,yticksize=5,axesstyle=frame](0,-1)(5,3) \pstGeonode[CurveType=polyline](1.5,2){A}(3,1){B}(4,2){C} %\pstBissectBAC[linecolor=red]{C}{B}{A}{D} \pstBissectBAC[linecolor=red]{A}{B}{C}{D} \pstCircleOA[linestyle=dotted,linecolor=red]{B}{A} %\pstCircleOA[linestyle=dotted,linecolor=red]{B}{C} \end{pspicture} & \begin{pspicture}(-.5,-1.5)(5.5,3.5) \psaxes[xticksize=4,yticksize=5,axesstyle=frame](0,-1)(5,3) \pstGeonode[CurveType=polyline](1.5,2){A}(3,1){B}(4,2){C} \pstOutBissectBAC[linecolor=red]{A}{B}{C}{D} %\pstOutBissectBAC[linecolor=cyan]{C}{B}{A}{E} \pstCircleOA[linestyle=dotted,linecolor=red]{B}{A} %\pstCircleOA[linestyle=dotted,linecolor=cyan]{B}{C} \end{pspicture} \\ \hline \BSS{pstBissectBAC}\AC{A}\AC{B}\AC{C}\AC{D} \BSI{pstBissectBAC}{pst-eucl} & \BSS{pstOutBissectBAC}\AC{A}\AC{B}\AC{C}\AC{D} \BSI{pstOutBissectBAC}{pst-eucl} %\BS{pstBissectBAC}\AC{A}\AC{B}\AC{C}\AC{E} & %\BS{pstOutBissectBAC}\AC{C}\AC{B}\AC{A}\AC{E} \\ \hline \begin{pspicture}(-.5,-1.5)(5.5,3.5) \psaxes[xticksize=4,yticksize=5,axesstyle=frame](0,-1)(5,3) \pstGeonode[CurveType=polyline](1.5,2){A}(3,1){B}(4,2){C} \pstBissectBAC[linecolor=red]{C}{B}{A}{D} \pstCircleOA[linestyle=dotted,linecolor=red]{B}{C} \end{pspicture} & \begin{pspicture}(-.5,-1.5)(5.5,3.5) \psaxes[xticksize=4,yticksize=5,axesstyle=frame](0,-1)(5,3) \pstGeonode[CurveType=polyline](1.5,2){A}(3,1){B}(4,2){C} \pstOutBissectBAC[linecolor=red]{C}{B}{A}{D} \pstCircleOA[linestyle=dotted,linecolor=cyan]{B}{C} \end{pspicture} \\ \hline \BS{pstBissectBAC}\AC{A}\AC{B}\AC{C}\AC{D} & \BS{pstOutBissectBAC}\AC{C}\AC{B}\AC{A}\AC{D} \\ \hline \end{tabular} \end{center}