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 Sep 24 awarded Autobiographer Feb 26 awarded Supporter Sep 27 awarded Scholar Sep 27 accepted Is there a way to solve the Apollonius Circle problem in Mathematica? Sep 25 comment Is there a way to solve the Apollonius Circle problem in Mathematica? Yes, I also want that kind of answer. An automatic way to transform the quadratic polynomial to conic section would be cool. Sep 24 awarded Teacher Sep 24 answered Is there a way to solve the Apollonius Circle problem in Mathematica? Sep 24 awarded Student Sep 24 comment Is there a way to solve the Apollonius Circle problem in Mathematica? @Artes, I want to know if the centre and radius can be calculated out by mathematica providing $a$, $b$ and $k$. Sep 24 revised Is there a way to solve the Apollonius Circle problem in Mathematica? added 16 characters in body Sep 24 awarded Editor Sep 24 revised Is there a way to solve the Apollonius Circle problem in Mathematica? added 3 characters in body; edited title Sep 24 comment Is there a way to solve the Apollonius Circle problem in Mathematica? It gives result:{{x -> (I (ai - I ar + bi k - I br k))/(1 + k)}, {x -> ( I (-ai + I ar + bi k - I br k))/(-1 + k)}}. But I want to get the centre and radius of $x$. Sep 24 comment Is there a way to solve the Apollonius Circle problem in Mathematica? @belisarius No, I want something like Abs[x - ...] = .... But the Solve treat x as Real not Complex. Sep 24 asked Is there a way to solve the Apollonius Circle problem in Mathematica?