Bertrand Offsets of Ruled Surfaces with Darboux Frame

Abstract

In this study, using Darboux frame {T, g, n} of ruled surface phi(s, v), Bertrand offset phi*(s, v) of ruled surface phi(s, v) is identified. Characteristic properties of Bertrand mates of ruled surfaces as a striction curve, distribution parameter and orthogonal trajectories are examined according to Darboux frame. We have examined the relations between the distribution parameters of the ruled surfaces which are generated by the Darboux frames vectors of the ruled surfaces phi and phi*.