Şeyda KILIÇOGLU, Süleyman ŞENYURT, Sümeyye GÜR MAZLUM

5913

The Frenet Vectors and the Curvatures of Curves $\mathit{{\mathbf{N-T^{\ast }B^{\ast }}}}$ in $\mathbf{E}^{3}$

Anahtar Kelimeler:

Frenet frame --- Curvatures --- Associated curves, Frenet frame --- Curvatures --- Associated curves

The Frenet Vectors and the Curvatures of Curves $\mathit{{\mathbf{N-T^{\ast }B^{\ast }}}}$ in $\mathbf{E}^{3}$

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 $\beta$.
Keywords:

Frenet frame curvatures, associated curves,

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Hagia Sophia Journal of Geometry-Cover
  • Yayın Aralığı: Yılda 2 Sayı
  • Başlangıç: 2019
  • Yayıncı: Salim YÜCE
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