Çelik, Gamze SavaşSadek, MohammadSoydan, Gökhan2024-06-242024-06-242021-01-010033-3883https://doi.org/10.5486/PMD.2021.9046https://publi.math.unideb.hu/load_doi.phphttps://arxiv.org/pdf/2010.03830https://hdl.handle.net/11452/42261A sequence of rational points on an algebraic planar curve is said to form an r-geometric progression sequence if either the abscissae or the ordinates of these points form a geometric progression sequence with ratio r. In this work, we prove the existence of infinitely many rational numbers r such that for each r there exist infinitely many r-geometric progression sequences on the unit circle x(2) + y(2) = 1 of length at least 3.eninfo:eu-repo/semantics/closedAccessElliptic curveGeometric progressionHuff curveRational pointUnit circleScience & technologyPhysical sciencesMathematicsArticle000647271800016513520983-410.5486/PMD.2021.9046