The characterizations of constant slope surfaces and Bertrand curves
International Journal of Physical Sciences, cilt.6, sa.8, ss.1868-1875, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 6 Sayı: 8
- Basım Tarihi: 2011
- Dergi Adı: International Journal of Physical Sciences
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, CAB Abstracts, Veterinary Science Database
- Sayfa Sayıları: ss.1868-1875
- Anahtar Kelimeler: Bertrand curve, Constant slope surface, Helix, Spherical images
- Ankara Üniversitesi Adresli: Evet
Özet
In this paper, we give some characterizations of constant slope surfaces and Bertrand curves in Euclidean 3-space. We find parametrization of constant slope surfaces for spherical images of tangent indicatrix, principal normal indicatrix, binormal indicatrix and the Darboux indicatrix of a space curve. Furthermore, we investigate Bertrand curves corresponding to constant parameter curves of constant slope surfaces. © 2011 Academic Journals.