A New Parameterization of Ford Circles

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Author
Northshield, Sam
McGonagle, Annmarie
Date Published
2014

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URI
http://hdl.handle.net/20.500.12648/1116
Abstract
Lester Ford introduced Ford Circles in 1938 in order to geometrically understand the approximation of an irrational number by rational numbers. We shall construct Ford circles by a recursive geometric procedure and by a (well-known) parameterization by rational numbers. We introduce a new parameterization in terms of relatively prime integer solutions of (a + b + c)² = a² + b² + c².
Citation
Northshield, S. & McGonagle, A. (2014). A New Parameterization of Ford Circles. Pi Mu Epsilon Journal, 13(10).
Description
This article has been published in the February 2014 issue of Pi Mu Epsilon Journal.
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