On the invariants of Bertrand trajectory surface offsets

Kucuk A., Gursoy O.

APPLIED MATHEMATICS AND COMPUTATION, cilt.151, sa.3, ss.763-773, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 151 Sayı: 3
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(03)00534-4
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.763-773
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

Dual characterizations of the Bertrand offset-surfaces are given and some results are obtained in terms of their integral invariants. A new characterization of Bertrand offsets of developable surfaces is given. Moreover, some relationships between the area of projections of spherical images of Bertrand offsets of trajectory ruled surfaces and their integral invariants are obtained. (C) 2003 Elsevier Inc. All rights reserved.