A New Parameterization of Ford Circles

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Authors
Northshield, Sam
McGonagle, Annmarie
Issue Date
2014
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Article
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en_US
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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.
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This article has been published in the February 2014 issue of Pi Mu Epsilon Journal.
Citation
Northshield, S. & McGonagle, A. (2014). A New Parameterization of Ford Circles. Pi Mu Epsilon Journal, 13(10).
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Pi Mu Epsilon Journal
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