Bertrand Offsets of Ruled Surfaces with Darboux Frame

In this study, using Darboux frame $\{T,g,n\}$ of ruled surface $\phi (s,v)$, Bertrand offset ${\phi }^{\ast }(s,v)$ 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 ${\phi }^{\ast }$.