HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS

Abstract

In this study, one of the concepts of conjugate which is defined[1] for bicomplex numbers is investigated. In this case, the metric, in fourdimensional semi-Euclidean space E, has been defined by the help of theconcept of the conjugate.We define a motion in E2with the help of themetric in bicomplex numbers. We show that the motions de…ned by a curvelying on a hypersurface M of Eare homothetic motions . Furthermore, it isshown that the motion defined by a regular curve of order r and derivationsof the curve on the hypersurface M has only one acceleration centre of order(r-1) at every t- instant