Document Type

Article

Publication Date

Spring 2014

Publication Title

Pi Mu Epsilon Journal

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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Mathematics Commons

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