Radical Circle


The radical circle of three given circles is the circle having center at the radical center of the three circles and is orthogonal to all of them. (A circle with center at the radical center that is orthogonal to one of the original circles is always orthogonal to all three.)

The following table summarizes the radical circle for some circle triplets.

See also

Monge's Problem, Orthogonal Circles, Radical Center, Radical Line

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Dörrie, H. "Monge's Problem." §31 in 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover, pp. 151-154, 1965.

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Radical Circle

Cite this as:

Weisstein, Eric W. "Radical Circle." From MathWorld--A Wolfram Web Resource.

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