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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.

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 Vivian Feig
"Circles of Apollonius"
 http://demonstrations.wolfram.com/CirclesOfApollonius/
 Wolfram Demonstrations Project
 Published: March 17, 2008
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