similitude - Maple Help
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geometry

  

similitude

  

find the insimilitude and outsimilitude of two circles

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

similitude(obj, c1, c2)

Parameters

obj

-

name which is assigned the internal and external centers of similitude

c1, c2

-

two circles

Description

• 

Let  and  be two nonconcentric circles and let I and E divide SensedMagnitude(AB) internally and externally in the ratio a/b. Then I and E are called the internal and the external centers of similitude of the two circles c1 and c2

• 

The routine assigns to obj a list of two elements where the first element is the internal center of similitude, and then second element the external center of similitude.

• 

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

• 

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

Examples

(1)

(2)

similitude:   "hint: the external and internal centers of similitude are the same"

(3)

(4)

See Also

geometry[CircleOfSimilitude]

geometry[HorizontalName]

geometry[SensedMagnitude]

geometry[VerticalName]

 


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