find the bisector of a given triangle - Maple Help

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geometry[bisector] - find the bisector of a given triangle

Calling Sequence

bisector(bA, A, ABC, P)

Parameters

bA

-

A-bisector of ABC

A

-

vertex of ABC

ABC

-

triangle

P

-

(optional) name

Description

• 

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.

Examples

withgeometry:

triangleABC,pointA,0,0,pointB,2,0,pointC,1,3:

define the ``line'' bisector bA

bisectorbA,A,ABC

bA

(1)

detailbA

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

name of the objectbAform of the objectline2dequation of the line34_x+210+4_y=0

(2)

define the ``segment'' bisector bA

bisectorbA,A,ABC,n

bA

(3)

detailbA

name of the objectbAform of the objectsegment2dthe two ends of the segment0,0,210+12+10,62+10

(4)

See Also

geometry[altitude], geometry[median]


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