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Circles of Apollonius
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,


,
with at most eight solutions.




"Circles of Apollonius" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/CirclesOfApollonius/
Contributed by: Vivian Feig
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