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Bankoff Circle


BankoffCircle

The circle through the cusp of the arbelos and the tangent points of the first Pappus circle, which is congruent to the two Archimedes' circles. If AB=r and AC=1, then the radius of the Bankoff circle is

 R=1/2r(1-r).

See also

Archimedes' Circles, Arbelos, Pappus Chain

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References

Bankoff, L. "Are the Twin Circles of Archimedes Really Twins?" Math. Mag. 47, 214-218, 1974.Gardner, M. "Mathematical Games: The Diverse Pleasures of Circles that Are Tangent to One Another." Sci. Amer. 240, 18-28, Jan. 1979.

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Bankoff Circle

Cite this as:

Weisstein, Eric W. "Bankoff Circle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BankoffCircle.html

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