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


KURUOĞLU N., DÜLDÜL M., Tutar A.

Applied Mathematics and Mechanics (English Edition), vol.24, no.8, pp.945-949, 2003 (SCI-Expanded) 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 (SCI-EXPANDED), Scopus
  • Page Numbers: pp.945-949
  • Keywords: Holditch theorem, Homothetic motion, Steiner formula
  • Istanbul Gelisim University Affiliated: Yes

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.