PerpenBisector - Maple Help

geometry

 PerpenBisector
 find the line through the midpoint of two given points and perpendicular to the line joining them

 Calling Sequence PerpenBisector(l, A, B)

Parameters

 l - the name of the line to be created A, B - two points

Description

 • The routine finds the line which goes through the midpoint of points A, B and is perpendicular to the line joining them.
 • For a detailed description of the line to be created l, use the routine detail (e.g., detail(l))
 • The command with(geometry,PerpenBisector) allows the use of the abbreviated form of this command.

Examples

 > $\mathrm{with}\left(\mathrm{geometry}\right):$
 > $\mathrm{point}\left(A,0,0\right),\mathrm{point}\left(B,2,0\right)$
 ${A}{,}{B}$ (1)
 > $\mathrm{PerpenBisector}\left(l,A,B\right)$
 ${l}$ (2)
 > $\mathrm{detail}\left(l\right)$
 assume that the names of the horizontal and vertical axes are _x and _y, respectively
 $\begin{array}{ll}{\text{name of the object}}& {l}\\ {\text{form of the object}}& {\mathrm{line2d}}\\ {\text{equation of the line}}& {-}{2}{+}{2}{}{\mathrm{_x}}{=}{0}\end{array}$ (3)