Let AB be a directed line segment in the plane S. By the translation $T\left(\mathrm{AB}\right)$ we mean the transformation of S onto itself which carries each point P of the plane into the point P1 of the plane such that the directed line segment PP1 is equal and parallel to the directed segment AB.

The directed segment AB is called the vector of the translation.

For a detailed description of Q (the object created), use the routine detail (i.e., detail(Q))

The command with(geometry,translation) allows the use of the abbreviated form of this command.

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

$\mathrm{point}\left(A\,0\,0\right)\:$$\mathrm{dsegment}\left(\mathrm{dsg}\,\mathrm{point}\left(M\,0\,0\right)\,\mathrm{point}\left(N\,1\,0\right)\right)\:$

$\mathrm{translation}\left(\mathrm{Atra}\,A\,\mathrm{dsg}\right)\:$

$\mathrm{coordinates}\left(\mathrm{Atra}\right)$

$\left[1\,0\right]$

$\mathrm{circle}\left(c\,\left[\mathrm{point}\left(\mathrm{OO}\,0\,0\right)\,1\right]\right)\:$

$\mathrm{translation}\left(\mathrm{ctra1}\,c\,\mathrm{dsg}\right)\:$

$\mathrm{detail}\left(\left\{c\,\mathrm{ctra1}\right\}\right)$

assume that the names of the horizontal and vertical axes are _x and _y, respectively
assume that the names of the horizontal and vertical axes are _x and _y, respectively

$\left\{\begin{array}{ll}\text{name of the object}& c\\ \text{form of the object}& \mathrm{circle2d}\\ \text{name of the center}& \mathrm{OO}\\ \text{coordinates of the center}& \left[0\,0\right]\\ \text{radius of the circle}& 1\\ \text{equation of the circle}& {\mathrm{\_x}}^2+{\mathrm{\_y}}^2-1=0\end{array}\,\begin{array}{ll}\text{name of the object}& \mathrm{ctra1}\\ \text{form of the object}& \mathrm{circle2d}\\ \text{name of the center}& \mathrm{center\_ctra1}\\ \text{coordinates of the center}& \left[1\,0\right]\\ \text{radius of the circle}& 1\\ \text{equation of the circle}& {\mathrm{\_x}}^2+{\mathrm{\_y}}^2-2\mathrm{\_x}=0\end{array}\right\}$

$\mathrm{translation}\left(\mathrm{ctra2}\,c\,\mathrm{dsegment}\left(\mathrm{dsg2}\,M\,\mathrm{point}\left(\mathrm{N1}\,0\,1\right)\right)\right)\:$

$\mathrm{translation}\left(\mathrm{ctra3}\,c\,\mathrm{dsegment}\left(\mathrm{dsg3}\,M\,\mathrm{point}\left(\mathrm{N2}\,-1\,0\right)\right)\right)\:$

$\mathrm{translation}\left(\mathrm{ctra4}\,c\,\mathrm{dsegment}\left(\mathrm{dsg4}\,M\,\mathrm{point}\left(\mathrm{N3}\,0\,-1\right)\right)\right)\:$

$\mathrm{draw}\left(\left\{\mathrm{ctra1}\,\mathrm{ctra2}\,\mathrm{ctra3}\,\mathrm{ctra4}\,c\left(\mathrm{style}=\mathrm{LINE}\,\mathrm{numpoints}=200\right)\right\}\,\mathrm{axes}=\mathrm{BOX}\,\mathrm{style}=\mathrm{POINT}\,\mathrm{title}=\mathrm{`translation\; of\; a\; circle`}\right)$