find the bisector of a given triangle
bisector(bA, A, ABC, P)
A-bisector of ABC
vertex of ABC
The bisector bA of the angle at A of the triangle ABC is a line segment (or its extension) from vertex A that bisects an angle at A.
If the optional argument P is given, the object returned is a line segment AP where P is the intersection of the bisector at A and the opposite sides.
For a detailed description of the bisector bA, use the routine detail (i.e., detail(bA))
Note that the routine only works if the vertices of the triangle are known.
The command with(geometry,bisector) allows the use of the abbreviated form of this command.
define the ``line'' bisector bA
assume that the names of the horizontal and vertical axes are _x and _y, respectively
name of the objectbAform of the objectline2dequation of the line−3⁢4⁢_x+2⁢10+4⁢_y=0
define the ``segment'' bisector bA
name of the objectbAform of the objectsegment2dthe two ends of the segment0,0,2⁢10+12+10,62+10
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