Holditch theorem and Steiner formula for the planar hyperbolic motions

YÜCE S., KURUOĞLU N.

Advances in Applied Clifford Algebras, cilt.20, sa.1, ss.195-200, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 1
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1007/s00006-008-0130-7
  • Dergi Adı: Advances in Applied Clifford Algebras
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.195-200
  • Anahtar Kelimeler: Holditch theorem, Hyperbolic motion, Hyperbolic numbers
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

The Steiner formula and the Holditch Theorem for one-parameter closed planar Euclidean motions [1, 5] were expressed by Müller, under the one-parameter closed planar motions in the complex sense. Also, Müller had iven Holditch theorem1 in the complex sense, [6]. In this paper, in analogy with Complex motions as given by Müller [6], the Steiner formula and the mixture area formula are obtained under one parameter hyperbolic motions. Also Holditch theorem was expressed in the hyperbolic sense. © 2008 Birkhäuser Verlag Basel/Switzerland.