CIRCLES WITH FOUR RATIONAL POINTS IN GEOMETRIC PROGRESSION
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. We obtain infinitely many examples of four points in geometric progression on circles with rational radii.
Fields of Study & Subjects
Mathematics and Applications
History and Theory of Mathematics
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
Publication details
- Journal / source
- Rocky Mountain Journal of Mathematics
- Volume
- 56
- Issue
- 2
- Pages
- 367–379
- Publication date
- 1 April 2026
- Language
- EN