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Circles with four rational points in geometric progression

Published 3 Nov 2023 in math.NT | (2311.06290v1)

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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Authors (1)

  1. Ajai Choudhry 

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