A new generalization of some curve pairs

In this study, we give a new curve pair that generalizes some of the famous pairs curves as Bertrand and constant torsion curves. This is defined with help vector obtained by intersection osculating planes such makes same angle $\gamma$ tangents We examine relations between torsions curvatures these mates. Also, have seen unit quaternion corresponding to rotation matrix Frenet vectors $q=\cos (\theta/2)-\mathbf{i}\sin (\theta/2)\cos \gamma -\mathbf{j}\sin (\theta/2)\sin \gamma$, where $\theta$ reciprocal binormals Finally, show in which specific case well-known will be obtained.