Directional Bertrand Curves
Authors : Mustafa Dede, Cumali Ekici
Pages : 202-211
View : 11 | Download : 4
Publication Date : 2018-03-01
Article Type : Research
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 with in nite directional Bertrand mates.Keywords : Bertrand Curves, , offset, , Frenet frame