find the Apollonius circles of three given circles - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Geometry : 2-D Euclidean : Polygon Functions : geometry/Apollonius

geometry[Apollonius] - find the Apollonius circles of three given circles

Calling Sequence

Apollonius(c1, c2, c3)

Parameters

c1, c2, c3

-

three circles

Description

• 

The problem of constructing, in a given plane, a circle tangent to three given circles. The circle representing the solution of this problem is known as Apollonius circle. The problem was named after Apollonius of Perge (3rd- century B.C.)

• 

The routine returns a list of Apollonius circles. In general, there are eight circles.

• 

Note that the coordinates of the centers and the radii of the circles must be numeric.

• 

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

Examples

withgeometry:

circlec1,x+32+y2=4,x,y:

circlec2,pointO1,6,0,3,x,y

circlec3,x2+y72=1,x,y:

A:=Apolloniusc1,c2,c3

drawA

See Also

geometry[circle], geometry[draw]


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam