The generalization of Holditch theorem for closed space curves


Duldul M. , KURUOGLU N., TUTAR A.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, cilt.84, ss.60-64, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 84 Konu: 1
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1002/zamm.200410073
  • Dergi Adı: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
  • Sayfa Sayıları: ss.60-64

Özet

In this paper, under the 1-parameter closed homothetic motion in three dimensional Euclidean Space, we generalized the classical Holditch Theorem [1], 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]. (C) 2004 WILEYNCH Verlag GmbH & Co. KGaA, Weinheim.