Directional Bertrand Curves
GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.31, no.1, pp.202-211, 2018 (ESCI, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 31 Issue: 1
- Publication Date: 2018
- Journal Name: GAZI UNIVERSITY JOURNAL OF SCIENCE
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.202-211
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
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.