Araştırma Makalesi

Parallel Curves Based on Normal Vector

Cilt: 9 Sayı: 1 29 Haziran 2024
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Parallel Curves Based on Normal Vector

Öz

In this paper, the definition of parallel curves based on normal vector is given and the curvature, torsion, Frenet frame of this curve are determined. Furthermore, special cases in curves such as circle and helix are also be exemplified.

Anahtar Kelimeler

Kaynakça

  1. Arslan, K., & Hacısalihoğlu, H. H. (2000). On harmonic curvatures of a frenet curve. Communications De La Faculte des Sciences de L’Universite D’Ankara”, 49, 015-023. https://doi.org/10.1501/Commua1_0000000374
  2. Ergin, A. A. (1992). On the generalized darboux curves, Communications De La Faculte des Sciences de L’Universite D’Ankara”, 41, 073-077. https://doi.org/10.1501/Commua1_0000000499
  3. Liu, H., & Wang, F. (2008). Mannheim partner curves in 3-space. Journal of Geometry, 88(1-2), 120-126. https://doi.org/10.1007/s00022-007-1949-0
  4. İlarslan, K., & Nesovic, E. (2008). Some characterization of rectifying curves in the Euclidean Space E^4, Turkish Journal of Mathematics, 32, 21-30.
  5. Has, A., & Yılmaz, B. (2022). On quaternionic bertrand curves in euclidean 3-space. Turkish Journal of. Mathematics and Computer Science, 14(2), 355-365. https://doi.org/10.47000/tjmcs.1021801
  6. Sağıroğlu, Y. (2015). Global differential invariants of affine curves in R2. Far East Journal of Mathematical Sciences, 96(4), 497-515.
  7. Divjak, B. (2003). Special curves on ruled surface in galilean and pseudo-galilean space. Acta Mathematica Hungarica, 98(3), 203-215. https://doi.org/10.1023/A:1022821824927
  8. Bükcü, B., & Karacan, M. K. (2008). Bishop frame of the spacelike curve with a spacelike principal normal in minkowski 3-space. Communications De La Faculte des Sciences de L’Universite D’Ankara”, 57(1), 13-22. https://doi.org/10.1501/Commua1_0000000185

Ayrıntılar

Birincil Dil

İngilizce

Konular

Cebirsel ve Diferansiyel Geometri

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

29 Haziran 2024

Gönderilme Tarihi

16 Haziran 2023

Kabul Tarihi

21 Ocak 2024

Yayımlandığı Sayı

Yıl 2024 Cilt: 9 Sayı: 1

Kaynak Göster

APA
Sağıroğlu, Y., & Köse, G. (2024). Parallel Curves Based on Normal Vector. Sinop Üniversitesi Fen Bilimleri Dergisi, 9(1), 1-13. https://doi.org/10.33484/sinopfbd.1315640
AMA
1.Sağıroğlu Y, Köse G. Parallel Curves Based on Normal Vector. Sinopfbd. 2024;9(1):1-13. doi:10.33484/sinopfbd.1315640
Chicago
Sağıroğlu, Yasemin, ve Gönül Köse. 2024. “Parallel Curves Based on Normal Vector”. Sinop Üniversitesi Fen Bilimleri Dergisi 9 (1): 1-13. https://doi.org/10.33484/sinopfbd.1315640.
EndNote
Sağıroğlu Y, Köse G (01 Haziran 2024) Parallel Curves Based on Normal Vector. Sinop Üniversitesi Fen Bilimleri Dergisi 9 1 1–13.
IEEE
[1]Y. Sağıroğlu ve G. Köse, “Parallel Curves Based on Normal Vector”, Sinopfbd, c. 9, sy 1, ss. 1–13, Haz. 2024, doi: 10.33484/sinopfbd.1315640.
ISNAD
Sağıroğlu, Yasemin - Köse, Gönül. “Parallel Curves Based on Normal Vector”. Sinop Üniversitesi Fen Bilimleri Dergisi 9/1 (01 Haziran 2024): 1-13. https://doi.org/10.33484/sinopfbd.1315640.
JAMA
1.Sağıroğlu Y, Köse G. Parallel Curves Based on Normal Vector. Sinopfbd. 2024;9:1–13.
MLA
Sağıroğlu, Yasemin, ve Gönül Köse. “Parallel Curves Based on Normal Vector”. Sinop Üniversitesi Fen Bilimleri Dergisi, c. 9, sy 1, Haziran 2024, ss. 1-13, doi:10.33484/sinopfbd.1315640.
Vancouver
1.Yasemin Sağıroğlu, Gönül Köse. Parallel Curves Based on Normal Vector. Sinopfbd. 01 Haziran 2024;9(1):1-13. doi:10.33484/sinopfbd.1315640

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