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geometry

  

ExternalBisector

  

find the external bisector of a given triangle

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

ExternalBisector(bA, A, ABC)

Parameters

bA

-

A-external-bisector of ABC

A

-

vertex of ABC

ABC

-

triangle

Description

• 

The external bisector bA of the angle at A of the triangle ABC is the line perpendicular to the internal bisector of the angle at A.

• 

For a detailed description of the external 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,ExternalBisector) allows the use of the abbreviated form of this command.

Examples

withgeometry:

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

define the external bisector bA

ExternalBisectorbA,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 line210+4_x+34_y=0

(2)

bisectoribA,A,ABC:

ArePerpendicularbA,ibA

true

(3)

See Also

geometry[altitude]

geometry[bisector]

 


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