The Generalization of Holditch Theorem for Closed Space Curves

Abstract

In this paper, under the 1-parameter closed homothetic motion in three dimensional Euclidean Space, we generalized the classical Holditch Theorem, for closed space curves by using their orthogonal projection on any fixed plane in space. We also obtained a formula equivalent to the result on the planar kinematics given by [6]. © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.