The generalization of Holditch theorem for closed space curves

DÜLDÜL M., KURUOĞLU N., Tutar A.

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, cilt.84, sa.1, ss.60-64, 2004 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 84 Sayı: 1
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1002/zamm.200410073
  • Dergi Adı: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.60-64
  • Anahtar Kelimeler: Holditch theorem, Homothetic motion, Orthogonal projection area
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

In this paper, under the 1-parameter closed homothetic motion in three dimensional Euclidean Space, we generalized the classical Holditch Theorem, for closed space curves by using their orthogonal projection on any fixed plane in space. We also obtained a formula equivalent to the result on the planar kinematics given by [6]. © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.