Araştırma Makalesi
Yıl 2018,
Cilt: 31 Sayı: 1, 202 - 211, 01.03.2018
Öz
It is well known that a characteristic property of the Bertrand curve is
the existence of a linear relation between its curvature and torsion. In this
paper, we propose a new method for generating Bertrand curves, which
avoids the basic restrictions. Our main result is that every space curve is
a directional Bertrand curve with in nite directional Bertrand mates.
Anahtar Kelimeler
Kaynakça
- Bloomenthal, J. 1990. Calculation of reference frames along a space curve. Graphics Gems, 1: 567-571.
- Choi, J.H., Kang, T.H. & Kim, Y.H. 2012. Bertrand curves in 3- dimensional space forms. Applied Mathematics and Computation, 219: 1040-1046.
- Ekmekci, N. & Ilarslan, K. 2001. On Bertrand curves and their characterization. Di fferential Geometry Dynamical System, 3: 17-24.
Yıl 2018,
Cilt: 31 Sayı: 1, 202 - 211, 01.03.2018
Öz
Kaynakça
- Bloomenthal, J. 1990. Calculation of reference frames along a space curve. Graphics Gems, 1: 567-571.
- Choi, J.H., Kang, T.H. & Kim, Y.H. 2012. Bertrand curves in 3- dimensional space forms. Applied Mathematics and Computation, 219: 1040-1046.
- Ekmekci, N. & Ilarslan, K. 2001. On Bertrand curves and their characterization. Di fferential Geometry Dynamical System, 3: 17-24.
Toplam 3 adet kaynakça vardır.
Ayrıntılar
| Bölüm | Mathematics |
|---|---|
| Yazarlar | |
| Yayımlanma Tarihi | 1 Mart 2018 |
| Yayımlandığı Sayı | Yıl 2018 Cilt: 31 Sayı: 1 |