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geometry

  

excircle

  

find three excircles of a given triangle

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

excircle(obj, T, n)

Parameters

obj

-

list of three excircles to be created

T

-

triangle

n

-

(optional) a list of three elements and of the form c1o1,c2o2,c2o2 where c1, c2, c2, o1, o2, o3 are names.

Description

• 

A circle tangent to one side of a triangle and to the extensions of the other two sides is called an excircle of the triangle.

• 

The routine returns obj which is a list of three excircles of triangle T.

• 

If the optional argument n is given, the names of the three excircles will be c1, c2, c3; while the names of their centers in that order will be o1, o2, o3.

• 

For a detailed description of the excircles obj, use the routine detail (i.e., detail(obj))

• 

Note that the routine only works if the vertices of the triangle are known.

• 

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

Examples

withgeometry:

pspointA,1,1,pointB,3,1,pointC,2,4:

triangleT,ps

T

(1)

excircleobj,T,c1o1,c2o2,c3o3

c1,c2,c3

(2)

drawopobj,T,printtext=true

See Also

geometry[circumcircle]

geometry[incircle]

 


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