Tangent Circles to Two Circles

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Given two distinct circles, the locus of the centers of all circles tangent to those two circles is a branch of a hyperbola or a staight line if the radii of the two circles are equal. The centers of the circles are the foci of the hyperbola.
Contributed by: Abraham Gadalla (March 2011)
Open content licensed under CC BY-NC-SA
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"Tangent Circles to Two Circles"
http://demonstrations.wolfram.com/TangentCirclesToTwoCircles/
Wolfram Demonstrations Project
Published: March 7 2011