The Steiner Formulas For The Open Planar Homothetic Motions

Yuce S., Kuruoglu N.

APPLIED MATHEMATICS E-NOTES, cilt.6, ss.26-32, 2006 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6
  • Basım Tarihi: 2006
  • Dergi Adı: APPLIED MATHEMATICS E-NOTES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.26-32
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.