Duldul, M.Kuruoglu, N.2025-03-232025-03-2320070231-69860862-9544https://hdl.handle.net/11486/7466The volumes of the surfaces of 3-dimensional Euclidean Space which are traced by a fixed point as a trajectory surface during 3-parametric motions are given by H. R. Muller [3], [4], [5] and W. Blaschke [1]. In this paper, the volumes of the trajectory surfaces of fixed points under 3-parametric homothetic motions are computed. Also, using a certain pseudo-Euclidean metric we generalized the well-known classical Holditch Theorem, [2], to the trajectory surfaces.eninfo:eu-repo/semantics/closedAccesshomothetic motionHolditch theoremvolume of trajectory surfaceArticle7622412462-s2.0-40849120170Q4WOS:000434723300013N/A