Dergiler / Hagia Sophia Journal of Geometry / 2022 / Cilt: 4 Sayı: 2
The Frenet Vectors and the Curvatures of Curves $\mathit{{\mathbf{N-T^{\ast }B^{\ast }}}}$ in $\mathbf{E}^{3}$
- Sayfa
- 11–18
- DOI
- —
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 $\beta$.