Have a personal or library account? Click to login
Characterization of Speherical Helices in Euclidean 3-Space Cover

References

  1. [1] Ahmad T. Ali, Position vectors of a spacelike general helices in Minkowski Space E13$E_1^3$ , arXiv:0908.004lvl [mathDG] 3 Aug 2009.
  2. [2] A. A. Lucas and P. Lambin, Diffraction by DNA, carbon nanotubes and other helical nano structures, Rep. Prog. Phys. 68 (2005) 1181-1249.10.1088/0034-4885/68/5/R05
  3. [3] C. D. Toledo-Suarez, On the arithmatic of Fractal dimension using hyperhelices, Chaos Solitions and Fractals 39 (2009) 342-349.10.1016/j.chaos.2007.01.095
  4. [4] H. H. Hacısalihoğlu, Differential Geometry, Faculty of Sciences and Arts, University of Inönü Press, 1983.
  5. [5] Lancret, M. A.: Mémoire sur les courbes à double courbure, Mémoires présentésà l’Institut1 (1806), 416-454.
  6. [6] L. Kula, Y. Yaylı, On slant helix and its spherical indicatrix, Appl. Math. and Comp. Vol. 169 (2005), 600-607.10.1016/j.amc.2004.09.078
  7. [7] L. Kula, N. Ekmekci, Y. Yayli and K. İlarslan, Characterizations of Slant helices in Euclidean 3-space, Turk J. Math. 33 (2009) 1-13.
  8. [8] Yuyi Lin and Albert P. Pisano, The di erential geometry of the general helix as applied to mechanical springs, J. of Appl. Mechanics Vol:55 (1998) 831-836.
  9. [9] Struik, D. J.: Lectures on Classical Differential Geometry, Dover, New-York, 1988.
  10. [10] X. Yang, High accuracy approximation of helices by quintic curve, Comput. Aided Geomet. Design 20 (2003) 303-317.10.1016/S0167-8396(03)00074-8
DOI: https://doi.org/10.2478/auom-2014-0035 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 99 - 108
Submitted on: Nov 1, 2012
|
Accepted on: Mar 1, 2013
|
Published on: Oct 20, 2015
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2015 Nejat Ekmekci, O. Zeki Okuyucu, Yusuf Yayli, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.