Research Article

The proof of theorem which characterizes a slant helix

Volume: 4 Number: 2 March 1, 2016
  • Fatih Dogan *
EN

The proof of theorem which characterizes a slant helix

Abstract

Firstly, the axis of a slant helix is found. Secondly, the theorem which characterizes a slant helix is proved in detail. The importance of this theorem is stemed from that it has been led to doing many papers about slant helices.


Keywords

References

  1. S. Izumiya and N. Takeuchi, New special curves and developable surfaces, Turk. J. Math. 28, 153-163, 2004.
  2. L. Kula and Y. Yayli , On slant helix and its spherical indicatrix, Applied Mathematics and Computation 169 (1), 600-607, 2005.
  3. L. Kula, N. Ekmekci, Y. Yayli , K. Ilarslan, Characterizations of slant helices in Euclidean 3-space, Turk. J. Math. 34, 261–273, 2010.
  4. A.T. Ali and M. Turgut, Some characterizations of slant helices in the Euclidean space En, Hacettepe Journal of Mathematics and Statistics 39 (3), 327-336, 2010.
  5. A.T. Ali and M. Turgut, Position vector of a time-like slant helix in Minkowski 3-space, J. Math. Anal. Appl. 365, 559–569, 2010.
  6. A.T. Ali and R. Lopez, Slant helices in Minkowski space E31, J. Korean Math. Soc. 48 (1), 159-167, 2011.
  7. F. Dogan, Isophote curves on timelike surfaces in Minkowski 3-Space, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (S.N.), DOI:10.2478/aicu-2014-0020.
  8. F. Dogan and Y.Yayli , Isophote curves on spacelike surfaces in Lorentz-Minkowski space E31. arXiv:1203.4388.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Fatih Dogan * This is me
Türkiye

Publication Date

March 1, 2016

Submission Date

July 16, 2015

Acceptance Date

October 30, 2015

Published in Issue

Year 2016 Volume: 4 Number: 2

APA
Dogan, F. (2016). The proof of theorem which characterizes a slant helix. New Trends in Mathematical Sciences, 4(2), 56-60. https://izlik.org/JA79RT85MF
AMA
1.Dogan F. The proof of theorem which characterizes a slant helix. New Trends in Mathematical Sciences. 2016;4(2):56-60. https://izlik.org/JA79RT85MF
Chicago
Dogan, Fatih. 2016. “The Proof of Theorem Which Characterizes a Slant Helix”. New Trends in Mathematical Sciences 4 (2): 56-60. https://izlik.org/JA79RT85MF.
EndNote
Dogan F (March 1, 2016) The proof of theorem which characterizes a slant helix. New Trends in Mathematical Sciences 4 2 56–60.
IEEE
[1]F. Dogan, “The proof of theorem which characterizes a slant helix”, New Trends in Mathematical Sciences, vol. 4, no. 2, pp. 56–60, Mar. 2016, [Online]. Available: https://izlik.org/JA79RT85MF
ISNAD
Dogan, Fatih. “The Proof of Theorem Which Characterizes a Slant Helix”. New Trends in Mathematical Sciences 4/2 (March 1, 2016): 56-60. https://izlik.org/JA79RT85MF.
JAMA
1.Dogan F. The proof of theorem which characterizes a slant helix. New Trends in Mathematical Sciences. 2016;4:56–60.
MLA
Dogan, Fatih. “The Proof of Theorem Which Characterizes a Slant Helix”. New Trends in Mathematical Sciences, vol. 4, no. 2, Mar. 2016, pp. 56-60, https://izlik.org/JA79RT85MF.
Vancouver
1.Fatih Dogan. The proof of theorem which characterizes a slant helix. New Trends in Mathematical Sciences [Internet]. 2016 Mar. 1;4(2):56-60. Available from: https://izlik.org/JA79RT85MF