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BINORMAL CURVES

Yıl 2024, Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", 57 - 66, 29.12.2024
https://doi.org/10.33773/jum.1562659

Öz

We give the definition of binormal curves. The curvature, the torsion and Frenet frame of this curve are calculated. Also, the examples of binormal curves are given.

Kaynakça

  • A. Has, B. Yılmaz, On Quaternionic Bertrand Curves In Euclidean 3-space, Turkish Journal of Mathematics and Computer Science, Vol.14,No.2, pp.355-365 (2022).
  • B. Divjak, Special Curves On Ruled Surface in Galilean and Pseudo-Galilean Space, Acta Mathematica Hungarica, Vol. 98, No.3, pp. 203-215 (2003).
  • S. Senyurt, D.Canlı, K.H. Ayvacı, Associated Curves From A Different Point of View in E3, Communications Faculty of Sciences University of AnkaraSeries A1 Mathematics ans Statistics, Vol.71, No.3, pp. 826-845 (2022).
  • F. Guler, The Quasi Parallel Curve of A Space Curve, Celal Bayar University Journal of Science, Vol. 18, No.2, pp. 203-206 (2022).
  • A. Srivastava, E. Klassen, H.J. Shantanu, I.H. Jermyn, Shape Analysis of Elastic Curves in Euclidean Spaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol.33, No.7, pp. 1415-1428 (2011).
  • U. Gozutok, H.A. Coban, Y. Sagıroglu, Frenet Frame With Respect To Conformable Derivative, Filomat, Vol.33, No.6, pp. 1541-1550 (2019).
  • M.T. Aldossary, M.A. Gazwani, Motion Of Parallel Curves And Surfaces In Euclidean 3-space R3, Global Journal of Advanced Research on Classical and Modern Geometries, Vol.9, No.1, pp. 43-56 (2020).
  • Y. Keles, Galile ve Yarı-Galile Uzaylarında Egriler, Yuksek Lisans Tezi, Karadeniz Teknik Universitesi, Fen Bilimleri Enstitusu, Trabzon, (2014).
  • H. Liu, F. Wang, Mannheim Partner Curves in 3-Space, Journal of Geometry, Vol.88, No.1, pp. 120-126 (2008). B. ONeill, Elementary Differential Geometry, Second Edition, Elsevier, USA, (2006).
  • Y. Sagıroglu, G. Kose, Parallel Curves Based on Normal Vector, Sinop Uni. J. Nat. Sci., Vol.9, No.1, pp. 1-13 (2024).
Yıl 2024, Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", 57 - 66, 29.12.2024
https://doi.org/10.33773/jum.1562659

Öz

Kaynakça

  • A. Has, B. Yılmaz, On Quaternionic Bertrand Curves In Euclidean 3-space, Turkish Journal of Mathematics and Computer Science, Vol.14,No.2, pp.355-365 (2022).
  • B. Divjak, Special Curves On Ruled Surface in Galilean and Pseudo-Galilean Space, Acta Mathematica Hungarica, Vol. 98, No.3, pp. 203-215 (2003).
  • S. Senyurt, D.Canlı, K.H. Ayvacı, Associated Curves From A Different Point of View in E3, Communications Faculty of Sciences University of AnkaraSeries A1 Mathematics ans Statistics, Vol.71, No.3, pp. 826-845 (2022).
  • F. Guler, The Quasi Parallel Curve of A Space Curve, Celal Bayar University Journal of Science, Vol. 18, No.2, pp. 203-206 (2022).
  • A. Srivastava, E. Klassen, H.J. Shantanu, I.H. Jermyn, Shape Analysis of Elastic Curves in Euclidean Spaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol.33, No.7, pp. 1415-1428 (2011).
  • U. Gozutok, H.A. Coban, Y. Sagıroglu, Frenet Frame With Respect To Conformable Derivative, Filomat, Vol.33, No.6, pp. 1541-1550 (2019).
  • M.T. Aldossary, M.A. Gazwani, Motion Of Parallel Curves And Surfaces In Euclidean 3-space R3, Global Journal of Advanced Research on Classical and Modern Geometries, Vol.9, No.1, pp. 43-56 (2020).
  • Y. Keles, Galile ve Yarı-Galile Uzaylarında Egriler, Yuksek Lisans Tezi, Karadeniz Teknik Universitesi, Fen Bilimleri Enstitusu, Trabzon, (2014).
  • H. Liu, F. Wang, Mannheim Partner Curves in 3-Space, Journal of Geometry, Vol.88, No.1, pp. 120-126 (2008). B. ONeill, Elementary Differential Geometry, Second Edition, Elsevier, USA, (2006).
  • Y. Sagıroglu, G. Kose, Parallel Curves Based on Normal Vector, Sinop Uni. J. Nat. Sci., Vol.9, No.1, pp. 1-13 (2024).
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Cebirsel ve Diferansiyel Geometri
Bölüm Araştırma Makalesi
Yazarlar

Yasemin Sağıroğlu 0000-0003-0660-211X

Gönül Köse 0009-0007-4855-1353

Yayımlanma Tarihi 29 Aralık 2024
Gönderilme Tarihi 7 Ekim 2024
Kabul Tarihi 5 Kasım 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"

Kaynak Göster

APA Sağıroğlu, Y., & Köse, G. (2024). BINORMAL CURVES. Journal of Universal Mathematics, 7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"), 57-66. https://doi.org/10.33773/jum.1562659
AMA Sağıroğlu Y, Köse G. BINORMAL CURVES. JUM. Aralık 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):57-66. doi:10.33773/jum.1562659
Chicago Sağıroğlu, Yasemin, ve Gönül Köse. “BINORMAL CURVES”. Journal of Universal Mathematics 7, sy. To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" (Aralık 2024): 57-66. https://doi.org/10.33773/jum.1562659.
EndNote Sağıroğlu Y, Köse G (01 Aralık 2024) BINORMAL CURVES. Journal of Universal Mathematics 7 To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" 57–66.
IEEE Y. Sağıroğlu ve G. Köse, “BINORMAL CURVES”, JUM, c. 7, sy. To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", ss. 57–66, 2024, doi: 10.33773/jum.1562659.
ISNAD Sağıroğlu, Yasemin - Köse, Gönül. “BINORMAL CURVES”. Journal of Universal Mathematics 7/To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" (Aralık 2024), 57-66. https://doi.org/10.33773/jum.1562659.
JAMA Sağıroğlu Y, Köse G. BINORMAL CURVES. JUM. 2024;7:57–66.
MLA Sağıroğlu, Yasemin ve Gönül Köse. “BINORMAL CURVES”. Journal of Universal Mathematics, c. 7, sy. To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", 2024, ss. 57-66, doi:10.33773/jum.1562659.
Vancouver Sağıroğlu Y, Köse G. BINORMAL CURVES. JUM. 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):57-66.