Circles with four rational points in geometric progression

Ajai Choudhry

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arXiv · 2311.06290

Circles with four rational points in geometric progression

Ajai Choudhry

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Abstract

A set of rational points on a curve is said to be in geometric progression if either the abscissae or the ordinates of the points are in geometric progression. Examples of three points in geometric progression on a circle are already known. In this paper we obtain infinitely many examples of four points in geometric progression on a circle with rational radius.

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Ajai Choudhry. 2023-11-03. Circles with four rational points in geometric progression. https://arxiv.org/abs/2311.06290

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