Directional Bertrand Curves
GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.31, sa.1, ss.202-211, 2018 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 31 Sayı: 1
- Basım Tarihi: 2018
- Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.202-211
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
It is well known that a characteristic property of the Bertrand curve is the existence of a linear relation between its curvature and torsion. In this paper, we propose a new method for generating Bertrand curves, which avoids the basic restrictions. Our main result is that every space curve is a directional Bertrand curve.