If u is a point and v is a line (or plane), the parallel(w, u, v) function defines w as the line (or plane) that passes through u and is parallel to v.

If u is a line, and v is a line, the parallel(w, u, v) function defines w as the plane that contains u and is parallel to v.

Use the function geom3d[detail] for more details about the created object.

The command with(geom3d,parallel) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{geom3d}\right)\:$

$\mathrm{point}\left(A\,0\,0\,0\right),\mathrm{point}\left(B\,1\,0\,0\right),\mathrm{point}\left(C\,0\,1\,0\right),\mathrm{point}\left(F\,0\,0\,1\right)\:$

$\mathrm{plane}\left(p\,x+y+z=1\,\left[x\,y\,z\right]\right),\mathrm{line}\left(\mathrm{A\_B}\,\left[A\,B\right]\right),\mathrm{line}\left(\mathrm{C\_F}\,\left[C\,F\right]\right)\:$

$\mathrm{parallel}\left(\mathrm{p1}\,A\,p\right)\:$

$\mathrm{detail}\left(\mathrm{p1}\right)$

$\begin{array}{ll}\text{name of the object}& \mathrm{p1}\\ \text{form of the object}& \mathrm{plane3d}\\ \text{equation of the plane}& x+y+z=0\end{array}$

$\mathrm{parallel}\left(\mathrm{p2}\,\mathrm{A\_B}\,\mathrm{C\_F}\right)\:$

$\mathrm{detail}\left(\mathrm{p2}\right)$

$\begin{array}{ll}\text{name of the object}& \mathrm{p2}\\ \text{form of the object}& \mathrm{plane3d}\\ \text{equation of the plane}& -y-z=0\end{array}$