Araştırma Makalesi

New Associated Curves $k-$Principle Direction Curves and $N_{k}-$Slant Helix

Cilt: 4 Sayı: 2 30 Aralık 2022
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EN

New Associated Curves $k-$Principle Direction Curves and $N_{k}-$Slant Helix

Öz

In this study, we present an alternative orthonormal frame system for spatial curves defined by principal directions in $3−$dimensional Euclidean space. The new curve characterization called as $N_{k}-$slant helix, which is an improved version of existing helices, is obtained as a fundamental outcome.

Anahtar Kelimeler

Kaynakça

  1. Frenet, F. (1852). Sur les courbes a double courbure. Journal de Mathematiques Pures et Appliquees, 17, 437-447.
  2. Serret, J. A. (1851). Sur quelques formules relatives a la theorie des courbes a double courbure. Journal de Mathematiques Pures et Appliquees, 16, 193-207.
  3. Kühnel, W. (2005). Differential geometry: curves - surfaces - manifolds. Vol. 16, American Mathematical Society.
  4. Struik, D. J. (1988). Lectures on classical differential geometry, Dover, New-York.
  5. Lancret, M. A. (1806). Memoire sur les courbesa double courbure. Memoires Presentes AlInstitut, 1, 416-454.
  6. Izumiya, S., & Takeuchi, N. (2004). New special curves and developable surfaces. Turkish Journal of Mathematics, 28(2), 153-164.
  7. Scofield, P. D. (1995). Curves of constant precession. The American mathematical monthly, 102(6), 531-537.
  8. Takahashi, T., & Takeuchi, N. (2014). Clad helices and developable surfaces. Bulletin of Tokyo Gakugei University Division of Natural Sciences, 66, 1-9.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2022

Gönderilme Tarihi

5 Aralık 2022

Kabul Tarihi

20 Aralık 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 4 Sayı: 2

Kaynak Göster

APA
Ramis, Ç., Yılmaz, B., & Yaylı, Y. (2022). New Associated Curves $k-$Principle Direction Curves and $N_{k}-$Slant Helix. Hagia Sophia Journal of Geometry, 4(2), 19-27. https://izlik.org/JA89ZY97TA
AMA
1.Ramis Ç, Yılmaz B, Yaylı Y. New Associated Curves $k-$Principle Direction Curves and $N_{k}-$Slant Helix. HSJG. 2022;4(2):19-27. https://izlik.org/JA89ZY97TA
Chicago
Ramis, Çağla, Beyhan Yılmaz, ve Yusuf Yaylı. 2022. “New Associated Curves $k-$Principle Direction Curves and $N_{k}-$Slant Helix”. Hagia Sophia Journal of Geometry 4 (2): 19-27. https://izlik.org/JA89ZY97TA.
EndNote
Ramis Ç, Yılmaz B, Yaylı Y (01 Aralık 2022) New Associated Curves $k-$Principle Direction Curves and $N_{k}-$Slant Helix. Hagia Sophia Journal of Geometry 4 2 19–27.
IEEE
[1]Ç. Ramis, B. Yılmaz, ve Y. Yaylı, “New Associated Curves $k-$Principle Direction Curves and $N_{k}-$Slant Helix”, HSJG, c. 4, sy 2, ss. 19–27, Ara. 2022, [çevrimiçi]. Erişim adresi: https://izlik.org/JA89ZY97TA
ISNAD
Ramis, Çağla - Yılmaz, Beyhan - Yaylı, Yusuf. “New Associated Curves $k-$Principle Direction Curves and $N_{k}-$Slant Helix”. Hagia Sophia Journal of Geometry 4/2 (01 Aralık 2022): 19-27. https://izlik.org/JA89ZY97TA.
JAMA
1.Ramis Ç, Yılmaz B, Yaylı Y. New Associated Curves $k-$Principle Direction Curves and $N_{k}-$Slant Helix. HSJG. 2022;4:19–27.
MLA
Ramis, Çağla, vd. “New Associated Curves $k-$Principle Direction Curves and $N_{k}-$Slant Helix”. Hagia Sophia Journal of Geometry, c. 4, sy 2, Aralık 2022, ss. 19-27, https://izlik.org/JA89ZY97TA.
Vancouver
1.Çağla Ramis, Beyhan Yılmaz, Yusuf Yaylı. New Associated Curves $k-$Principle Direction Curves and $N_{k}-$Slant Helix. HSJG [Internet]. 01 Aralık 2022;4(2):19-27. Erişim adresi: https://izlik.org/JA89ZY97TA