The generalization of Holditch theorem for closed space curves

---

Duldul M., KURUOGLU N., TUTAR A.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, cilt.84, sa.1, ss.60-64, 2004 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 84 Sayı: 1
• Basım Tarihi: 2004
• Doi Numarası: 10.1002/zamm.200410073
• Dergi Adı: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.60-64
• Yıldız Teknik Üniversitesi Adresli: Hayır

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.