@article{article_1214403, title={The Frenet Vectors and the Curvatures of Curves $\mathit{\mathbf{N-T^{\ast }B^{\ast }$ in $\mathbf{E}^{3}$}, journal={Hagia Sophia Journal of Geometry}, volume={4}, pages={11–18}, year={2022}, author={Kılıçoglu, Şeyda and Şenyurt, Süleyman and Gür Mazlum, Sümeyye}, keywords={Frenet frame, curvatures, associated curves}, abstract={In this paper, we describe a new pair of curves where the principal normal vector of a curve $\beta$ and an vector $R^*$ lying in the rectifian plane of a curve $\beta^*$ are linearly dependent. We name them the curves $N-T^{\ast }B^{\ast }$. And we express the Frenet vectors and the curvatures of the curve $\beta^*$ in terms of the Frenet vectors and the curvatures of the curve $\beta$.}, number={2}, publisher={Salim YÜCE}