Archimedean Circle

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

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

See also

Arbelos, Archimedes' Circles, Bankoff Circle, Schoch Line

This entry contributed by Floor van Lamoen

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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. http://forumgeom.fau.edu/FG2004volume4/FG200404index.html.Okumura, H. and Watanabe, M. "A Generalization of Power's Archimedean Circles." Forum Geom. 6, 103-105, 2006. http://forumgeom.fau.edu/FG2006volume6/FG200611index.html.Power, F. "Some More Archimedean Circles in the Arbelos." Forum Geom. 5, 133-134, 2005. http://forumgeom.fau.edu/FG2005volume5/FG200517index.html.Schoch, T. "A Dozen More Arbelos Twins." http://www.retas.de/thomas/arbelos/biola/.van Lamoen, F. "Archimedean Adventures." Forum Geom. 6, 77-96, 2006. http://forumgeom.fau.edu/FG2006volume6/FG200609index.html.

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Archimedean Circle

Cite this as:

van Lamoen, Floor. "Archimedean Circle." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ArchimedeanCircle.html

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