The Steiner Formula and the Holditch Theorem for the Homothetic Motions on the Planar Kinematics

Abstract

In this paper, during one-parameter closed planar homothetic motions, the Steiner area formula and the Holditch theorem were expressed. In the case of the homothetic scale h ≡ 1 the results given by [1] were obtained as a special case. Furthermore, the Steiner area formula and the Holditch Theorem reported by [2] and [3] have been corrected. © 1998 Elsevier Science Ltd. All rights reserved.