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 equivalent to 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. (C) 1998 Elsevier Science Ltd. All rights reserved.