Circles of Apollonius

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Apollonius' problem asks for the circle tangent to three given circles or lines. Finding a circle tangent to three circles is the most difficult form of this problem. The solution is obtained by solving three simultaneous equations,
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Contributed by: Vivian Feig (March 2008)
Open content licensed under CC BY-NC-SA
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"Circles of Apollonius"
http://demonstrations.wolfram.com/CirclesOfApollonius/
Wolfram Demonstrations Project
Published: March 17 2008