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geometry

  

CircleOfSimilitude

  

find the circle of similitude of two circles

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

CircleOfSimilitude(c, c1, c2, 'centername' = cn)

Parameters

c

-

the name of the circle of similitude

c1, c2

-

two circles

'centername' = cn

-

(optional) where cn is the name of the center of the circle of similitude

Description

• 

Let I and E be the internal and external centers of similitude of two given nonconcentric circles c1 and c2 having unequal radii. Then the circle on IE as diameter is called the circle of similitude of the two given circles.

• 

If the third optional is given and is of the form 'centername' = cn where cn is name, cn will be the name of the center of c.

• 

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

• 

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

Examples

withgeometry:

_EnvHorizontalName'x':_EnvVerticalName'y':

circlec1,x2+y2=1,'centername'=o1:

circlec2,pointA,3,3,4,'centername'=o2:

CircleOfSimilitudec,c1,c2,'centername'=o

c

(1)

detailc

name of the objectcform of the objectcircle2dname of the centerocoordinates of the center15,15radius of the circle1282550equation of the circle65+x2+y2+25x+25y=0

(2)

drawc,c1,c2,printtext=true,view=2..4,2..4

See Also

geometry[HorizontalName]

geometry[similitude]

geometry[VerticalName]

 


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