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diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-src/par-courbeR3-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-src/par-courbeR3-en.tex new file mode 100644 index 00000000000..b81d3af3207 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-src/par-courbeR3-en.tex @@ -0,0 +1,99 @@ +\section[Curves of functions from R in R\textsuperscript{3}]% +{Curves of functions from $\mathbb{R}$ in $\mathbb{R}^3$} %$ + +%% \section{Fonctions R --> R\textsuperscript{3}} + +The line of a defined \Index{function} calls the object \Lkeyval{courbe} and the option \Lkeyword{function}. +We can realize a helix in algebraic notation with the function: + +\begin{verbatim} +\defFunction[algebraic]{helice}(t){3*cos(4*t)}{3*sin(4*t)}{t} +\end{verbatim} + +\psset{lightsrc=10 -20 50,viewpoint=50 -20 20 rtp2xyz,Decran=50} +\begin{LTXexample}[width=6.5cm] +\psset{unit=0.5} +\begin{pspicture}(-6,-3)(6,8) +\psframe*[linecolor=blue!50](-6,-3)(6,8) +\psSolid[object=grille,base=-4 4 -4 4,linecolor=red,linewidth=0.5\pslinewidth]% +\axesIIID(0,0,0)(4,4,7) +\defFunction[algebraic]{helice}(t){3*cos(4*t)}{3*sin(4*t)}{t} +\psSolid[object=courbe, + r=0, + range=0 6, + linecolor=blue,linewidth=0.1, + resolution=360, + function=helice]% +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=6.5cm] +\psset{unit=0.5} +\begin{pspicture}(-6,-3)(6,8) +\psframe*[linecolor=blue!50](-6,-3)(6,8) +\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\psSolid[object=grille,base=-4 4 -4 4,linecolor=red,linewidth=0.5\pslinewidth]% +\axesIIID(0,0,0)(4,4,7) +\psset{range=-4 4} +\defFunction{cosRad}(t){ t 2 mul Cos 4 mul }{ t }{ 0 } +\psSolid[object=courbe,linewidth=0.1, + r=0,linecolor=red, + resolution=360, + function=cosRad] +\psSolid[object=grille,base=-4 4 -4 4,linecolor=blue,linewidth=0.5\pslinewidth](0,0,3) +\psPoint(0,0,3){O1}\psPoint(0,0,7){Z1}\psline(O1)(Z1)\psline[linestyle=dashed](O1)(O) +\pstVerb{/tmin -4 def /tmax 4 def}% +\defFunction{sinRad}(t){ t }{ t Sin 3 mul }{ 3 } +\psSolid[object=courbe,linewidth=0.1, + r=0,linecolor=blue, + resolution=30, + function=sinRad] +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=6.5cm] +\psset{unit=0.5} +\begin{pspicture}(-6.5,-3)(7,11) +\psset{lightsrc=10 -20 50,viewpoint=50 -20 20 rtp2xyz,Decran=50} +\psSolid[object=grille,base=-4 4 -4 4, + linecolor=lightgray,linewidth=0.5\pslinewidth]% +\psSolid[object=grille,base=-4 4 0 8, + linecolor=lightgray,RotX=90, + linewidth=0.5\pslinewidth](0,4,0) +\psSolid[object=grille,base=-4 4 -4 4, + linecolor=lightgray,RotY=90, + linewidth=0.5\pslinewidth](-4,0,4) +\defFunction[algebraic]{helice}(t)% + {1.3*(1-cos(2.5*t))*cos(6*t)} + {1.3*(1-cos(2.5*t))*sin(6*t)}{t} +\defFunction[algebraic]{helice_xy}(t)% + {1.3*(1-cos(2.5*t))*cos(6*t)} + {1.3*(1-cos(2.5*t))*sin(6*t)}{0} +\defFunction[algebraic]{helice_xz}% + (t){1.3*(1-cos(2.5*t))*cos(6*t)}{4}{t} +\defFunction[algebraic]{helice_yz}% + (t){-4}{1.3*(1-cos(2.5*t))*sin(6*t)}{t} +\psset{range=0 8} +\psSolid[object=courbe,r=0,linecolor=blue, + linewidth=0.05,resolution=360, + normal=0 0 1,function=helice_xy] +\psSolid[object=courbe,r=0, + linecolor=green,linewidth=0.05, + resolution=360,normal=0 0 1, + function=helice_xz] +\psSolid[object=courbe,r=0, + linewidth=0.05,resolution=360, + normal=0 0 1,function=helice_yz] +\psSolid[object=courbe,r=0, + linecolor=red,linewidth=0.1, + resolution=360,function=helice] + \end{pspicture} +\end{LTXexample} + + +These last function lines are found in an animated form on the website: + +\centerline{\url{http://melusine.eu.org/syracuse/pstricks/pst-solides3d/animations/}} + + +\endinput |