Circles with four rational points in geometric progression

Authors :: Choudhry, Ajai
Publication Year :: 2023
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.<br />Comment: 11 pages