Generalization of Steiner formula for the homothetic motions on the planar kinematics

KURUOGLU N., Duldul M. , TUTAR A.

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, vol.24, no.8, pp.945-949, 2003 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 8
  • Publication Date: 2003
  • Doi Number: 10.1007/bf02446500
  • Journal Name: APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.945-949

Abstract

The Steiner formula and the mixture area formula given by Muller were expressed under the one-parameter closed planar homothetic motions in the complex sense. Also, using the generalization of Steiner formula, the result of Holditch theorem for homothetic motions is got. In the case of the homothetic scale h = 1 the results given by Muller are obtained as a special case.