summaryrefslogtreecommitdiff
path: root/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/source/par-solidespredefinis-en.tex
diff options
context:
space:
mode:
Diffstat (limited to 'Master/texmf-dist/doc/generic/pst-solides3d/doc-en/source/par-solidespredefinis-en.tex')
-rw-r--r--Master/texmf-dist/doc/generic/pst-solides3d/doc-en/source/par-solidespredefinis-en.tex1042
1 files changed, 0 insertions, 1042 deletions
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/source/par-solidespredefinis-en.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/source/par-solidespredefinis-en.tex
deleted file mode 100644
index 8d6f5019b46..00000000000
--- a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/source/par-solidespredefinis-en.tex
+++ /dev/null
@@ -1,1042 +0,0 @@
-\section {The predefined solids and their parameters}
-
-The basic command is:~
-\texttt{\Lcs{psSolid}[object=\textsl{name}]$(x, y ,z)$} which allows us to translate the chosen object to the point with the coordinates $(x, y,
-z)$.
-
-The available predefined names for the objects are:
-\begin{sloppypar}
-{\ttfamily%\flushleft \hyphenchar\font`\-%
-point, line, vector, plan, grille, cube, cylindre, cylindrecreux, cone, conecreux, tronccone,
-troncconecreux, sphere, calottesphere, calottespherecreuse, tore,
-tetrahedron, octahedron, dodecahedron,
-isocahedron, anneau, prisme, prismecreux, parallelepiped, face, polygonregulier, ruban, surface, surface*, surfaceparamettree, pie, fusion, geode, load, offfile, objfile, datfile, new.}
-\end{sloppypar}
-
-
-The following table gives an example of every one of the above named solids with their specified parameters:
-
-\begin{center}
-\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}}
- \hline
-\toptableau
-\\\hline
- \Index{Point}&
- \begin{tabular}{c}
- \texttt{[args=1 1 0]}\\
- coordinates
- \end{tabular}
- &
- \begin{pspicture}(-2,-2)(2,2)
-\psset{lightsrc=10 5 20,viewpoint=50 20 30 rtp2xyz}
-\psSolid[object=point,args=1 1 0]%
-\axesIIID(1.5,1.5,1)
-\end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
-\psSolid[object=point,
-args=1 1 0]%
-\end{verbatim}
-\end{minipage}
-\\\hline
- \Index{Line}&
- \begin{tabular}{c}
- \texttt{[args=0 -1 0 1 2 2]}\\
- coordinates of the\\
- end points
- \end{tabular}
- &
- \begin{pspicture}(-2,-2)(2,2)
-\psset{lightsrc=10 5 20,viewpoint=50 20 30 rtp2xyz}
-\psSolid[object=line,args=0 -1 0 1 2 2]
-\axesIIID(1.5,1.5,1)
-\end{pspicture}
- &
-\begin{minipage}{5cm}
-\begin{verbatim}
-\psSolid[object=line,
-args=0 -1 0 1 2 2]
-\end{verbatim}
-\end{minipage}
-\\\hline
- \Index{Vector}&
- \begin{tabular}{c}
- \texttt{[args=1 2 2]}\\
- components of\\
- the vector
- \end{tabular}
- &
-\begin{pspicture}(-2,-2)(2,2)
-\psset{lightsrc=10 5 20,viewpoint=50 20 30 rtp2xyz}
-\psSolid[object=vecteur,args=1 2 2]
-\axesIIID(1.5,1.5,1)
-\end{pspicture}
- &
-\begin{minipage}{5cm}
-\begin{verbatim}
-\psSolid[object=vecteur,
-args=1 2 2]
-\end{verbatim}
-\end{minipage}
-\\\hline
- \Index{Plane}&
- \begin{tabular}{c}
- \texttt{[base=-x x -y y]}\\
- range of plane\\
- \texttt{args={[0 0 1 0]}}\\
- equation of plane
- \end{tabular}
- &
- \begin{pspicture}(-2,-2)(2,2)
-\psset{lightsrc=10 5 20,viewpoint=50 20 30 rtp2xyz}
-\psSolid[object=plan,
- definition=equation,
- args={[0 0 1 0]},
- base=-1 1 -1.5 1.5]
-\axesIIID(1.5,1.5,1)
-\end{pspicture}
- &
-\begin{minipage}{5cm}
-\begin{verbatim}
-\psSolid[object=plan,
-definition=equation,
-args={[0 0 1 0]},
-base=-1 1 -1.5 1.5]
-\end{verbatim}
-\end{minipage}
-\\\hline
-
-\end{tabular}
-\end{center}
-
-\begin{center}
-\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}}
- \hline
-\toptableau
-\\\hline
- \Index{Cube}& \begin{tabular}{c}
- \texttt{[a=4]}\\
- edge's length
- \end{tabular}
- &
- \begin{pspicture}(-2,-2)(2,2)
-\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=60}
- \psSolid[
- object=cube,a=2,action=draw*,fillcolor=magenta!20]%
- \axesIIID(1,1,1)(1.5,1.5,1.5)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
-\psSolid[
- object=cube,
- a=2,
- action=draw*,
- fillcolor=magenta!20]
- \end{verbatim}
- \end{minipage}
-\\\hline
- \Index{Cylinder}&
- \begin{tabular}{c}
- \texttt{[h=6,r=2]}\\
- height and radius\\
- grid:\\
- \texttt{[ngrid=n1 n2]}
- \end{tabular}
- &
- \begin{pspicture}(-2,-2.5)(2,3)
-\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=30}
-\psSolid[object=cylindre,h=5,r=2,fillcolor=white,ngrid=4 32](0,0,-3)
- \axesIIID(2,2,2.5)(3,3,3.5)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
-\psSolid[
- object=cylindre,
- h=5,r=2,
- fillcolor=white,
- ngrid=4 32]
- (0,0,-3)
- \end{verbatim}
- \end{minipage}
-\\\hline
- \Index{Hollow Cylinder}&
- \begin{tabular}{c}
- \texttt{[h=6,r=2]}\\
- height and radius\\
- grid:\\
- \texttt{[ngrid=n1 n2]}
- \end{tabular}
- &
- \begin{pspicture}(-2,-2.5)(2,3)
-\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=30}
-\psSolid[object=cylindrecreux,h=5,r=2,fillcolor=white,mode=4,incolor=green!50](0,0,-2.5)
- \axesIIID(2,2,2.5)(3,3,4.5)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
-\psSolid[
- object=cylindrecreux,
- h=5,r=2,
- fillcolor=white,
- mode=4,
- incolor=green!50]
- (0,0,-3)
- \end{verbatim}
- \end{minipage}
- \\\hline
-\end{tabular}
-\end{center}
-
-\begin{center}
-\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}}
- \hline
-\toptableau
-\\\hline
- \Index{Cone}&
- \begin{tabular}{c}
- \texttt{[h=6,r=2]}\\
- height and radius\\
- grid:\\
- \texttt{[ngrid=n1 n2]}
- \end{tabular}
- &
- \begin{pspicture}(-2,-1)(2,4)
-\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=30}
- \psSolid[object=cone,h=5,r=2,fillcolor=cyan,mode=4]%
- \axesIIID(2,2,5)(2.5,2.5,6)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
- \psSolid[
- object=cone,
- h=5,r=2,
- fillcolor=cyan,
- mode=4]%
- \end{verbatim}
- \end{minipage}
-\\\hline
- \Index{Hollow Cone}&
- \begin{tabular}{c}
- \texttt{[h=6,r=2]}\\
- height and radius\\
- grid:\\
- \texttt{[ngrid=n1 n2]}
- \end{tabular}
- &
- \begin{pspicture}(-2,-1)(2,4)
-\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=30}
- \psSolid[object=conecreux,h=5,r=2,fillcolor=white,mode=4,RotY=-60,incolor=green!50]%
- \axesIIID(2,2,5)(2.5,2.5,6)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
- \psSolid[
- object=conecreux,
- h=5,r=2,
- RotY=-60,
- fillcolor=white,
- incolor=green!50,
- mode=4]%
- \end{verbatim}
- \end{minipage}
- \\\hline
- \Index{Truncated Cone}&
- \begin{tabular}{c}
- \texttt{[h=6,r0=4,r1=1.5]}\\
- height and radii\\
- grid:\\
- \texttt{[ngrid=n1 n2]}
- \end{tabular}
- &
- \begin{pspicture}(-2,-1)(2,4)
-\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=30}
- \psSolid[object=tronccone,r0=2,r1=1.5,h=5,fillcolor=cyan,mode=4]%
- \axesIIID(2,2,5)(2.5,2.5,6)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
- \psSolid[
- object=tronccone,
- r0=2,r1=1.5,h=5,
- fillcolor=cyan,
- mode=4]%
- \end{verbatim}
- \end{minipage}
-\\\hline
- \begin{tabular}{c}
- Truncated \\
- Hollow Cone
- \end{tabular}
- &
- \begin{tabular}{c}
- \texttt{[h=6,r0=4,r1=1.5]}\\
- height and radii\\
- grid:\\
- \texttt{[ngrid=n1 n2]}
- \end{tabular}
- &
- \begin{pspicture}(-2,-1)(2,4)
-\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=30}
- \psSolid[object=troncconecreux,r0=2,r1=1,h=5,fillcolor=white,mode=4]%
- \axesIIID(2,2,5)(2.5,2.5,6)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
-\psSolid[
- object=troncconecreux,
- r0=2,r1=1,h=5,
- fillcolor=white,
- mode=4]%
- \end{verbatim}
- \end{minipage}
-\\\hline
-\end{tabular}
-\end{center}
-
-%\newpage
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\begin{center}
-%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}}
-\begin{tabular}{
- >{\bfseries\sffamily\color{blue}} l
- >{\centering} m{4cm} m{4cm} m{5cm}}
- \hline
-\toptableau
-\\\hline
- \Index{Sphere} &
- \begin{tabular}{c}
- \texttt{[r=2]}\\
- radius\\
- grid:\\
- \texttt{[ngrid=n1 n2]}
- \end{tabular}
- &
- \begin{pspicture}(-2,-2)(2,3)
-\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=30}
- \psSolid[object=sphere,r=3,fillcolor=red!25,ngrid=18 18,linewidth=0.2\pslinewidth]%
- \axesIIID(3,3,3)(4,4,4)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
- \psSolid[
- object=sphere,
- r=2,fillcolor=red!25,
- ngrid=18 18]%
- \end{verbatim}
- \end{minipage}
-\\\hline
- \begin{tabular}{c}
- Spherical \\
- zone
- \end{tabular} &
- \begin{tabular}{c}
- \texttt{[r=2]} \\
- radius\\
- \texttt{[phi=0,theta=90]} \\
- latitude for slicing\\
- the zone respectively \\
- from the bottom and top \\
- \end{tabular}
- &
-\begin{pspicture}(-2,-3)(5,3)
-\psset{unit=0.5}
-\psset{lightsrc=42 24 13,viewpoint=50 30 15 rtp2xyz,Decran=50}
-\psSolid[object=calottesphere,r=3,ngrid=16 18,
- fillcolor=cyan!50,incolor=yellow,theta=45,phi=-30,hollow,RotY=-80]%
-\axesIIID(0,3,3)(6,5,4)
-\end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
-\psSolid[
- object=calottesphere,
- r=3,ngrid=16 18,
- theta=45,phi=-30,
- hollow,RotY=-80]%
- \end{verbatim}
- \end{minipage}
-\\\hline
- \Index{Torus} &
- \begin{tabular}{c}
- \texttt{[r0=4,r1=1.5]} \\
- inner radius\\
- mean radius\\
- grid:\\
- \texttt{[ngrid=n1 n2]}
- \end{tabular}
- &
- \begin{pspicture}(-2,-2)(2,2.35)
-\psset{lightsrc=42 24 13,viewpoint=50 30 15 rtp2xyz}
- \psset{Decran=30,unit=0.9}
- \psSolid[r1=2.5,r0=1.5,object=tore,ngrid=18 36,fillcolor=green!30,action=draw**]%
- \axesIIID(4,4,0)(5,5,4)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
- \psSolid[
- r1=2.5,r0=1.5,
- object=tore,
- ngrid=18 36,
- fillcolor=green!30,
- action=draw*]%
- \end{verbatim}
- \end{minipage}
-\\\hline
- \begin{tabular}{c}
- Cylindric \\
- Ring
- \end{tabular}
- &
- \begin{tabular}{c}
- \texttt{[r1=2.5,r0=1.5,}\\
- inner and outer radius\\
- \texttt{h=6,section=...]}\\
- height\\
- cross \\
- section
- \end{tabular}
- &
- \begin{pspicture}(-2,-2)(2,2.35)
-%\psset{unit=0.44}
-\psset{lightsrc=42 24 13,viewpoint=50 30 15 rtp2xyz}
- \psset{Decran=30}
-\psSolid[object=anneau,fillcolor=yellow,h=1.5,r1=4,r0=3]%
- \axesIIID(4,4,0)(5,5,4)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
- \psSolid[
- object=anneau,
- fillcolor=yellow,
- h=1.5,r1=4,r0=3]%
- \end{verbatim}
- \end{minipage}
-\\\hline
-\end{tabular}
-\end{center}
-
-
-\begin{center}
-%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}}
-\begin{tabular}{
- >{\bfseries\sffamily\color{blue}} l
- >{\centering} m{4cm} m{4cm} m{5cm}}
- \hline
-\toptableau
-\\\hline
- \Index{Tetrahedron}&
- \begin{tabular}{c}
- \texttt{[r=2]}\\
- radius of the\\
- circumscribed sphere
- \end{tabular}
- &
- \begin{pspicture}(-2,-2)(2,2)
-\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=30}
- \psSolid[object=tetrahedron,r=3,linecolor=blue,action=draw]%
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
-\psSolid[
- object=tetrahedron,
- r=3,
- linecolor=blue,
- action=draw]%
- \end{verbatim}
- \end{minipage}
-\\\hline
-\Index{Octahedron} &
- \begin{tabular}{c}
- \texttt{[a=2]}\\
- radius of the\\
- circumscribed sphere
- \end{tabular}
- &
- \begin{pspicture}(-2,-1.85)(2,2.85)
-\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=30}
- \psSolid[object=octahedron,a=3,linecolor=blue,fillcolor=Turquoise]%
- \axesIIID(3,3,3)(4,4,4)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
- \psSolid[
- object=octahedron,
- a=3,
- linecolor=blue,
- fillcolor=Turquoise]%
- \end{verbatim}
- \end{minipage}
-\\\hline
- \Index{Dodecahedron} &
- \begin{tabular}{c}
- \texttt{[a=2]}\\
- radius of the\\
- circumscribed sphere
- \end{tabular}
- &
- \begin{pspicture}(-2,-1.85)(2,1.85)
-\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=30}
- \psSolid[object=dodecahedron,a=2.5,RotZ=90,action=draw*,fillcolor=OliveGreen]%
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
- \psSolid[
- object=dodecahedron,
- a=2.5,RotZ=90,
- action=draw*,
- fillcolor=OliveGreen]%
- \end{verbatim}
- \end{minipage}
-\\ \hline
-\Index{Icosahedron} &
- \begin{tabular}{c}
- \texttt{[a=2]}\\
- radius of the\\
- circumscribed sphere
- \end{tabular}
- &
- \begin{pspicture}(-2,-1.85)(2,2.85)
-\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=30}
- \psSolid[object=icosahedron,a=3,action=draw*,fillcolor=green!50]%
- \axesIIID(3,3,3)(4,4,4)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
-\psSolid[
- object=icosahedron,
- a=3,
- action=draw*,
- fillcolor=green!50]%
- \end{verbatim}
- \end{minipage}
-\\\hline
- \Index{Prism}
- &
- \begin{tabular}{c}
- \texttt{[axe=0 0 1]}\\
- direction of the axis\\
- \texttt{[base=}\\
- \texttt{-1 -1 1 -1 0 1]}\\
- coordinates of\\
- the vertices\\
- of the base\\
- \texttt{[h=6]}\\
- height
- \end{tabular}
- &
- \begin{pspicture}(-2,-2)(2,3)
-\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=30,unit=0.9}
-\psSolid[object=prisme,action=draw*,linecolor=red,h=4,fillcolor=gray!50]%
-\psSolid[object=grille,base=-3 3 -3 3,action=draw]%
- \axesIIID(3,3,4)(5,5,5)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
-\psSolid[
- object=prisme,
- action=draw*,
- linecolor=red,
- h=4]%
- \end{verbatim}
- \end{minipage}
- \\\hline
-\end{tabular}
-\end{center}
-
-%\newpage
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\begin{center}
-%\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
-%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}}
-\begin{tabular}{
- >{\bfseries\sffamily\color{blue}} l
- >{\centering} m{4cm} m{4cm} m{5cm}}
- \hline
-\toptableau
-\\\hline
- \Index{Grid}
- &
- \begin{tabular}{c}
- \texttt{[base=-X +X -Y +Y]}
- \end{tabular}
- &
- \begin{pspicture}(-1.5,-2)(2,3)
-\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=30,unit=0.9}
-\psSolid[object=grille,base=-5 5 -3 3]%
- \axesIIID(5,3,0)(6,4,4)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
-\psSolid[
- object=grille,
- base=-5 5 -3 3]%
- \end{verbatim}
- \end{minipage}
-\\\hline
-%
- \Index{Cuboid}
- &
- \begin{tabular}{c}
- \texttt{[a=4,b=3,c=2]}\\
- edge lenghts\\
- with center in $O$
- \end{tabular}
- &
- \begin{pspicture}(-1.5,-2)(2,3)
- \psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
- \psset{Decran=30}
-\psSolid[object=parallelepiped,a=5,b=6,c=2,fillcolor=bleuciel,axe=1 1 1](0,0,c 2 div)
-\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,2)
-\psSolid[object=grille,base=-1 1 -3 3,RotY=90,action=draw](2.5,0,1)
-\psSolid[object=grille,base=-2.5 2.5 -1 1,RotX=-90,action=draw](0,3,1)
- \axesIIID(2.5,3,2)(3.5,4,4)
- \end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
-\psSolid[
- object=parallelepiped,%
- a=5,b=6,c=2,
- fillcolor=yellow]%
- (0,0,c 2 div)
- \end{verbatim}
- \end{minipage}
-\\\hline
-%
- \Index{Face}
- &
- \begin{tabular}{l}
- \texttt{[base=x0 y0 x1 y1}\\
- \texttt{~ x2 y2 etc.]}\\
- the coordinates \\
- of the vertices
- \end{tabular}
- &
-\begin{pspicture}(-2,-2)(3,2)
-\psset{unit=0.4}
-\psset{viewpoint=50 -20 30 rtp2xyz,Decran=50}
-\psSolid[object=grille,base=-4 6 -4 4,action=draw,linecolor=gray](0,0,0)
-\psSolid[object=face,fillcolor=yellow,
- incolor=blue,
- base=0 0 3 0 1.5 3
- ](0,1,0)
-\psSolid[object=face,fillcolor=yellow,
- incolor=blue,
- base=0 0 3 0 1.5 3,
- RotX=180](0,-1,0)
-\axesIIID(0,0,0)(6,6,3)
-\end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
-\psSolid[
- object=face,
- fillcolor=yellow,
- incolor=blue,
- base=0 0 3 0 1.5 3
- ](0,1,0)
-\psSolid[
- object=face,
- fillcolor=yellow,
- incolor=blue,
- base=0 0 3 0 1.5 3,
- RotX=180](0,-1,0)
- \end{verbatim}
- \end{minipage}
-\\\hline
-%
- \Index{Strip}
- &
- \begin{tabular}{l}
- \texttt{[base=x0 y0 x1 y1}\\
- \texttt{~ x2 y2 etc.]}\\
- \texttt{[h=height]}\\
- \texttt{[ngrid=value]}\\
- number of gridlines\\
- \texttt{[axe=0 0 1]}\\
- direction of inclination\\
- of the strip
- \end{tabular}
- &
-\begin{pspicture}(-2,-2)(5,3)
-\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50,unit=0.5}
-\psSolid[object=grille,base=-4 6 -2 4,action=draw,linecolor=gray](0,0,0)
-\psSolid[object=ruban,h=3,fillcolor=red!50,
- base=0 0 2 2 4 0 6 2,
- num=0 1 2 3,
- show=0 1 2 3,
- ngrid=3]%
-\axesIIID(0,2,0)(6,6,6)
-\end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
-\psSolid[
- object=ruban,h=3,
- fillcolor=red!50,
- base=0 0 2 2 4 0 6 2,
- num=0 1 2 3,
- show=0 1 2 3,
- ngrid=3])
- \end{verbatim}
- \end{minipage}
-\\\hline
-\end{tabular}
-\end{center}
-
-%\newpage
-
-%\begin{center}
-%\psset{lightsrc=10 20 30,SphericalCoor,viewpoint=50 20 30}
-%%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}}
-%\begin{tabular}{
-% >{\bfseries\sffamily\color{blue}} l
-% >{\centering} m{4cm} m{4cm} m{5cm}}
-% \hline
-%\toptableau
-%% chemin
-%% &
-%% \begin{tabular}{l}
-%% dessine un chemin\\
-%% d\'{e}fini en postscript\\
-%% sur un plan
-%% \end{tabular}
-%% &
-%% \psset{unit=0.4}
-%% \begin{pspicture}(-2,-5)(6,8)%
-%% \psframe*[linecolor=blue!50](-6,-5)(6,7)
-%% \psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60}
-%% \psProjection[object=chemin,fillstyle=solid,fillcolor=white,
-%% linewidth=.05,linecolor=red,
-%% normal=1 1 2 180,
-%% path=newpath
-%% -4 -4 smoveto
-%% -4 4 slineto
-%% 4 4 slineto
-%% 4 -4 slineto
-%% closepath
-%% ](1,1,2)
-%% \psProjection[object=chemin,
-%% linewidth=.02,
-%% normal=1 1 2 180,
-%% path=newpath
-%% -4 1 4
-%% {-4 exch smoveto
-%% 8 0 srlineto} for
-%% -4 1 4
-%% {-4 smoveto
-%% 0 8 srlineto} for
-%% ](1,1,2)
-%% \psProjection[object=chemin,fillstyle=hlines,hatchcolor=yellow,
-%% linecolor=red,
-%% normal=1 1 2 180,
-%% path=newpath
-%% 2 0 moveto
-%% 0 2 360 {
-%% /x exch def
-%% x cos 2 mul
-%% x sin 2 mul
-%% slineto
-%% } for
-%% ](1,1,2)
-%% \psPoint(0,0,0){O}
-%% \psPoint(1,1,2){O1}\psPoint(1.4,1.4,2.8){K}
-%% \psline[linewidth=.1,linecolor=red](O1)(K)
-%% \psline[linestyle=dashed](O)(O1)
-%% \psProjection[object=chemin,
-%% linewidth=.1,
-%% linecolor=green,
-%% normal=1 1 2 180,
-%% path=
-%% newpath
-%% 0 0 smoveto
-%% 1 0 slineto](1,1,2)
-%% \psProjection[object=chemin,
-%% linewidth=.1,
-%% linecolor=blue,
-%% normal=1 1 2 180,
-%% path=
-%% newpath
-%% 0 0 smoveto
-%% 0 1 slineto](1,1,2)
-%% \axesIIID(4,4,2)(5,5,6)
-%% \end{pspicture}
-%% &
-%% \begin{minipage}{6cm}
-%% \begin{verbatim}
-%% \psProjection[object=chemin,
-%% fillstyle=hlines,
-%% hatchcolor=yellow,
-%% linecolor=red,
-%% normal=1 1 2 180,
-%% path=newpath
-%% 2 0 smoveto
-%% 0 2 360 {
-%% /x exch def
-%% x cos 2 mul
-%% x sin 2 mul
-%% slineto
-%% } for
-%% ](1,1,2)
-%% \end{verbatim}
-%% \end{minipage}
-%\end{tabular}
-%\end{center}
-
-%\newpage
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\begin{center}
-%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}}
-\begin{tabular}{
- >{\bfseries\sffamily\color{blue}} l
- >{\centering} m{4cm} m{4cm} m{5cm}}
- \hline
-\toptableau
-\\\hline
- \Index{Surface}
- &
- \begin{tabular}{l}
- see the related \\
- paragraph in the \\
- documentation
- \end{tabular}
- &
-\begin{pspicture}(-2,-3)(3,3)
-\psset{unit=0.4}
-\psset{lightsrc=30 30 25}
-\psset{viewpoint=50 40 30 rtp2xyz,Decran=50}
-\psSurface[ngrid=.25 .25,incolor=white,axesboxed](-4,-4)(4,4){%
- x dup mul y dup mul 3 mul sub x mul 32 div}
-\end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
-\psSurface[ngrid=.25 .25,
- incolor=white,axesboxed]
- (-4,-4)(4,4){%
- x dup mul y dup mul 3 mul
- sub x mul 32 div}
- \end{verbatim}
- \end{minipage}
-\\\hline
-%
- \Index{New}
- &
- \begin{tabular}{l}
- solid defined\\
- by the coordinates \\
- of the vertices\\
- and the vertices\\
- of each face
- \end{tabular}
- &
-
-\begin{pspicture}(-2,-2)(2,4)
-\psset{unit=0.4}
-\psset{viewpoint=50 -20 30 rtp2xyz,Decran=50}
-\psSolid[object=new,
- action=draw,
- sommets=
- 2 4 3
- -2 4 3
- -2 -4 3
- 2 -4 3
- 2 4 0
- -2 4 0
- -2 -4 0
- 2 -4 0
- 0 4 5
- 0 -4 5,
- faces={
- [0 1 2 3]
- [7 6 5 4]
- [0 3 7 4]
- [3 9 2]
- [1 8 0]
- [8 9 3 0]
- [9 8 1 2]
- [6 7 3 2]
- [2 1 5 6]},
- num=all,
- show=all]%
-\axesIIID(0,0,0)(5,5,7)
-\end{pspicture}
- &
- \begin{minipage}{5cm}
- \begin{verbatim}
- \psSolid[object=new,
- action=draw,
- sommets=
- 2 4 3
- -2 4 3
- -2 -4 3
- 2 -4 3
- 2 4 0
- -2 4 0
- -2 -4 0
- 2 -4 0
- 0 4 5
- 0 -4 5,
- faces={
- [0 1 2 3]
- [7 6 5 4]
- [0 3 7 4]
- [3 9 2]
- [1 8 0]
- [8 9 3 0]
- [9 8 1 2]
- [6 7 3 2]
- [2 1 5 6]}]%
- \end{verbatim}
- \end{minipage}
-\\\hline
-%
- \Index{Curve}
- &
- \begin{tabular}{l}
- curve of a function\\
- $\mathbb{R} \rightarrow \mathbb{R}^3$\\
- defined by its\\
- paramterised equations\\
- \end{tabular}
- &
-
-\begin{pspicture}(-2,-1)(1.75,2.7)
-\psset{unit=0.35}
-\psset{lightsrc=10 -20 50,viewpoint=50 -20 20 rtp2xyz,Decran=50}
-%\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}
- &
- \begin{minipage}{5cm}
-% \footnotesize
- \begin{verbatim}
-\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{verbatim}
- \end{minipage}
-\\\hline
-%% courbeR2
-%% &
-%% \begin{tabular}{l}
-%% trac\'{e} d'une fonction\\
-%% R --> R\textsuperscript{2}\\
-%% d\'{e}finie par ses\\
-%% \'{e}quations param\'{e}triques\\
-%% \end{tabular}
-%% &
-%% \psset{unit=0.4}
-%% \begin{pspicture}(-6,-7)(6,6)
-%% \psframe*[linecolor=yellow!50](-6,-6)(6,6)
-%% \psset{SphericalCoor,viewpoint=50 -20 30,Decran=50}
-%% {\psset{linewidth=0.5\pslinewidth,linecolor=gray}
-%% \psSolid[object=grille,base=-4 4 -4 0,RotX=90,RotZ=90]%
-%% \psSolid[object=grille,base=-4 4 -4 4]%
-%% \psSolid[object=grille,base=-4 4 0 4,RotX=90,RotZ=90]}
-%% \defFunction{parabole}(t){t}{t dup mul}{}
-%% \defFunction{droite}(t){t}{t 2 add }{}
-%% \axesIIID(0,0,0)(4,4,4)
-%% \psProjection[object=chemin,
-%% linewidth=.1,
-%% linecolor=blue,
-%% normal=0 1 0 1 0 0,
-%% path=
-%% newpath
-%% 0 0 moveto
-%% 1 0 lineto]
-%% \psProjection[object=chemin,
-%% linewidth=.1,
-%% linecolor=red,
-%% normal=0 1 0 1 0 0,
-%% path=
-%% newpath
-%% 0 0 moveto
-%% 0 1 lineto]
-%% \psProjection[object=courbeR2,
-%% range=-1 2,fillstyle=vlines,hatchwidth=0.5\pslinewidth,
-%% normal=0 1 0 1 0 0,
-%% function=parabole]
-%% \psProjection[object=courbeR2,
-%% range=-2 2,
-%% linecolor=green,
-%% normal=0 1 0 1 0 0,
-%% function=parabole]
-%% \psProjection[object=courbeR2,
-%% range=-2 2 ,
-%% linecolor=red,
-%% normal=0 1 0 1 0 0,
-%% function=droite]
-%% \psPoint(0,0,4.15){Z1}
-%% \uput*[60](Z1){$z=y^2$}
-%% \rput(0,-6.5){\psframebox[linecolor=yellow!50]{\texttt{$\backslash${}defFunction\{parabole\}(t)\{t\}\{t dup mul\}\{\}}}}
-%% \end{pspicture}
-%% &
-%% \begin{minipage}{6cm}
-%% \footnotesize
-%% \begin{verbatim}
-%% \psProjection[object=courbeR2,
-%% range=-2 2,
-%% linecolor=green,
-%% normal=0 1 0 1 0 0,
-%% function=parabole]
-%% \end{verbatim}
-%% \end{minipage}
-%% \\\hline
-\end{tabular}
-\end{center}
-
-Some information about rings and parallelepipeds is available in the documents:
-\begin{itemize}
- \item \texttt{doc-grille-parallelepiped.tex(.pdf)};
- \item \texttt{doc-anneau.tex(.pdf).}
-\end{itemize}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%\newpage
-
-\endinput