Circles with four rational points in geometric progression
Number Theory
2023-11-14 v1
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.
Cite
@article{arxiv.2311.06290,
title = {Circles with four rational points in geometric progression},
author = {Ajai Choudhry},
journal= {arXiv preprint arXiv:2311.06290},
year = {2023}
}
Comments
11 pages