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diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-point_en_corr.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-point_en_corr.tex new file mode 100644 index 00000000000..69c35205f66 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc-en/par-point_en_corr.tex @@ -0,0 +1,98 @@ +\section{Point} + +\subsection{Definition via coordinates} + +The object \verb+point+ defines a point. The simplest method is to use the argument \texttt{[args=$x$ $y$ $z$]} to specify its coordinates. +If we have already named a point $M(x, y, z)$ (see chapter ``\textit{Advanced usage\/}''), we can easily use the argument \texttt{[args=$M$]}. + +\subsection{Some other definitions} + +There are some other possibilities for defining a point. Here a list of possible definitions with the appropriate arguments: + +\begin{itemize} + +\item \verb+[definition=solidgetsommet]+; +\verb+args=+ $solid$ $k$. + +The vertex with index $k$ of the solid $solid$. + +\item \verb+[definition=solidcentreface]+; +\verb+args=+ $solid$ $k$. + +The centre of the face with index $k$ of the solid $solid$. + +\item \verb+[definition=isobarycentre3d]+; +\verb+args=+ + {\{$[$ $A_0$ $\ldots $ $A_{n}$ $]$\}}. %$ + + {The isobarycentre of the system $[(A_0, 1); + \ldots ; (A_n, 1)]$.} + +\item \verb+[definition=barycentre3d]+; +\verb+args=+ + {\{$[$ $A$ $a$ $B$ $b$ $]$\}}. + + {The barycentre of the system $[(A, a) ; (B, b)]$.} + +\item \verb+[definition=hompoint3d]+; +\verb+args=+ + {$M$ $A$ $\alpha $}. + + {The image of $M$ via a homothety with centre $A$ and ratio $\alpha $.} + +\item \verb+[definition=sympoint3d]+; +\verb+args=+ + {$M$ $A$}. + + {The image of $M$ via the center of symmetry $A$}%I don't understand + +\item \verb+[definition=translatepoint3d]+; +\verb+args=+ + {$M$ $u$}. + + {The image of $M$ under the translation via the vector $\vec u$} + +\item \verb+[definition=scaleOpoint3d]+; +\verb+args=+ + {$x$ $y$ $z$ $k_1$ $k_2$ $k_3$}. + + {This gives a ``dilation'' \ of the coordinates of the point $M (x, y, + z)$ on the axes $Ox$, $Oy$ and $Oz$ each multiplied by an appropriate factor $k_1$, + $k_2$ and $k_3$} + +\item \verb+[definition=rotateOpoint3d]+; +\verb+args=+ + {$M$ $\alpha_x$ $\alpha_y$ $\alpha_z$}. + + {The image of $M$ through consecutive rotations -- centered at $O$ -- and with respective angles + $\alpha_x$, $\alpha_y$ and $\alpha_z$ around the axes $Ox$, + $Oy$ and $Oz$.} + + + +%% Projection orthogonale d'un point 3d sur un plan +%% Mx My Mz (=le point a projeter) +%% Ax Ay Az (=un point du plan) +%% Vx Vy Vz (un vecteur normal au plan) +\item \verb+[definition=orthoprojplane3d]+; +\verb+args=+ + {$M$ $A$ $\vec v$}. + + {The projection of the point $M$ to the plane $P$ which is defined + by the point $A$ and the vector $\vec v$, perpendicular to $P$.} + +\item \verb+[definition=milieu3d]+; +\verb+args=+ + {$A$ $B$}. + + {The midpoint of $[AB]$} + +\item \verb+[definition=addv3d]+; +\verb+args=+ + {$A$ $u$}. + + {Gives the point $B$ so that $\overrightarrow {AB} = \vec u$} + +\end{itemize} + +\endinput |