find the insimilitude and outsimilitude of two circles
similitude(obj, c1, c2)
name which is assigned the internal and external centers of similitude
Let c1=A⁡a and c2=B⁡b 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.
_EnvHorizontalName ≔ 'x':_EnvVerticalName ≔ 'y':
similitude: "hint: the external and internal centers of similitude are the same"
name of the objectMform of the objectpoint2dcoordinates of the point1,0,name of the objectNform of the objectpoint2dcoordinates of the point1,0
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