An Archimedean circle is a circle defined in the arbelos in a natural way and congruent to Archimedes’ circles, i.e., having radius

                                             p= ½*r*(1-r)

for an arbelos with outer semicircle of unit radius and parameter .

See also: Arbelos, Archimedes’ Circles, Bankoff Circle, Schoch Line

REFERENCES:

• Bankoff, L. “Are the Twin Circles of Archimedes Really Twins?” Math. Mag. 47, 214-218, 1974.
• Dodge, C. W.; Schoch, T.; Woo, P. Y.; and Yiu, P. “Those Ubiquitous Archimedean Circles.” Math. Mag. 72, 202-213, 1999.
• Okumura, H. and Watanabe, M. “The Archimedean Circles of Schoch and Woo.” Forum Geom. 4, 27-34, 2004
• Okumura, H. and Watanabe, M. “A Generalization of Power’s Archimedean Circles.” Forum Geom. 6, 103-105, 2006.
• Power, F. “Some More Archimedean Circles in the Arbelos.” Forum Geom. 5, 133-134, 2005.
• Schoch, T. “A Dozen More Arbelos Twins.”
• Van Lamoen, F. “Archimedean Adventures.” Forum Geom. 6, 77-96, 2006.

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