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diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/src/text/par-projectionpolygone-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/src/text/par-projectionpolygone-en.tex new file mode 100644 index 00000000000..74f2f1dcee3 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/src/text/par-projectionpolygone-en.tex @@ -0,0 +1,102 @@ +\section{Polygons} + +\subsection{Direct definition} + +The object \Lkeyword{polygone} allows us to define a \Index{polygon}. We use +the option \Lkeyword{args} to specify the list of vertices: +\texttt{[object=polygone,args=$A_0$ $A_1$ \ldots $A_n$]} + +There are other ways to define a polygon in 2D. The options +\Lkeyword{definition} and \Lkeyword{args} support these methods: + +\begin{itemize} + +%% syntaxe : pol u --> pol' +\item \texttt{\Lkeyword{definition}=\Lkeyword{translatepol}}; +\texttt{\Lkeyword{args}=$pol$ $u$}. + +Translation of the polygon $pol$ by the +vector $\vec u$ + +%% syntaxe : pol u --> pol' +\item \texttt{\Lkeyword{definition}=\Lkeyword{rotatepol}}; +\texttt{\Lkeyword{args}=$pol$ $I$ $\alpha $}. + +Image of the polygon $pol$ +after a rotation with centre $I$ and angle $\alpha $ + +%% syntaxe : pol I alpha --> pol' +\item \texttt{\Lkeyword{definition}=\Lkeyword{hompol}}; +\texttt{\Lkeyword{args}=$pol$ $I$ $\alpha $}. + +Image of the polygon $pol$ +after a homothety (dilation) with centre $I$ and ratio $\alpha$. + +%% syntaxe : pol I --> pol' +\item \texttt{\Lkeyword{definition}=\Lkeyword{sympol}}; +\texttt{\Lkeyword{args}=$pol$ $I$}. + +Image of the polygon $pol$ after a +reflection in the point $I$. + +%% syntaxe : pol D --> pol' +\item \texttt{\Lkeyword{definition}=\Lkeyword{axesympol}}; +\texttt{\Lkeyword{args}=$pol$ $d$}. + +Image of the polygon $pol$ after a +reflection in the line $d$. +\end{itemize} + + +In the following example we define, name and draw the polygon with +vertices $(-1,0)$, $(-3, 1)$, $(0, 2)$, then---in blue---the +image after a rotation about the point $(-1,0)$ through an angle +$-45$. Finally, we translate the polygon with the vector shift +$(2,-2)$ by directly incorporating \textit{jps code} within the +argument of \Lkeyword{definition}. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +\psSolid[object=grille, + base=-3 0 -3 3, + linewidth=0.5\pslinewidth,linecolor=gray,] +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + base=-3.2 3.2 -2.2 2.2, + name=monplan, + planmarks, +] +\psset{plan=monplan} +\psSolid[object=plan, + args=monplan, + linecolor=gray!40, + plangrid, + action=none, +] +\psProjection[object=polygone, + args=-1 0 -3 1 0 2, + name=P, +] +\psProjection[object=polygone, + definition=rotatepol, + linecolor=blue, + args=P -1 0 -45, +] +%% du code jps dans la definition +\psProjection[object=polygone, + definition={2 -2 addv} papply, + fillstyle=hlines,hatchcolor=yellow, + linestyle=dashed, + args=P, +] +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} +\end{LTXexample} + +\endinput |