A New Parameterization of Ford Circles

Northshield, Sam; McGonagle, Annmarie

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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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Mathematics Faculty Work