In the geometry package, a line means a ``straight line''. It is unlimited in extent, i.e., it may be extended in either direction indefinitely.

A line l can be defined as follows:

from two given points A and B

from its algebraic representation eqn. I.e., eqn is a polynomial or an equation. If the third optional argument is not given, then:

if names are assigned to the two environment variables _EnvHorizontalName and _EnvVerticalName, then these two names will be used as the names of the horizontal-axis and vertical-axis respectively.

otherwise, Maple will prompt the user to input the names of the axes.

To access the information relating to a line l, use the following function calls:

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

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

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

$\mathrm{line}\left(l\,\left[A\,B\right]\right)$

$l$

$\mathrm{form}\left(l\right)$

$\mathrm{line2d}$

$\mathrm{HorizontalName}\left(l\right)$

$\mathrm{FAIL}$

$\mathrm{\_EnvHorizontalName}≔x\:$$\mathrm{\_EnvVerticalName}≔y\:$

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

$\mathrm{line}\left(l\,\left[A\,B\right]\right)$

$l$

$\mathrm{HorizontalName}\left(l\right)$

$x$

$\mathrm{VerticalName}\left(l\right)$

$y$

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

$\begin{array}{ll}\text{name of the object}& l\\ \text{form of the object}& \mathrm{line2d}\\ \text{equation of the line}& -x+y=0\end{array}$

$\mathrm{line}\left(\mathrm{l2}\,x-3y\right)$

$\mathrm{l2}$

$\mathrm{Equation}\left(\mathrm{l2}\right)$

$x-3y=0$