The Steiner Formulas For The Open Planar Homothetic Motions

Yuce S., Kuruoglu N.

APPLIED MATHEMATICS E-NOTES, vol.6, pp.26-32, 2006 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 6
  • Publication Date: 2006
  • Journal Name: APPLIED MATHEMATICS E-NOTES
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.26-32
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, we present the Steiner formula for one-parameter open planar homothetic motions. Using this area formula, the generalization of the Holditch Theorem given by W. Blaschke and H. R. Muller [4, p.142] is expressed during one-parameter open planar homothetic motions. Furthermore, we obtain another formula for the swept surface area.