Research Article
BibTex RIS Cite
Year 2020, , 135 - 144, 15.10.2020
https://doi.org/10.36753/mathenot.640345

Abstract

References

  • [1] Do Carmo, M. P.: Differential Geometry of Curves and Surfaces. Prentice-Hall, ISBN 0-13-212589- 7 (1976).
  • [2] Hacısalihoğlu H.H.: Differential Geometry. Ankara, Faculty of Science Publ. (2000).
  • [3] Malecek K, Szarka J, Szarková D : Surfaces With Constant Slope and Their Generalization. J. Polish Society Geometry Eng. Graphics, 19:67-77 (2009).
  • [4] Sabuncuoğlu A. : Differential Geometry, Nobel Publication. ISBN978-975-591-237-0. Ankara (2010).
  • [5] Papageorgiou S. G., Aspragathos N. A.: Rational ruled surfaces construction by interpolating dual unit vectors representing lines. In: International Conference on Computer graphics, Visualization and Computer Vision, Pilzen, Czech Republic, 30 January–3 February 2006. Pilzen: WSCG, University of West Bohemia ( 2006).

Ruled Surfaces with Constant Slope Ruling According to Darboux Frame

Year 2020, , 135 - 144, 15.10.2020
https://doi.org/10.36753/mathenot.640345

Abstract

 The main scope of this paper is to examine ruled surfaces with constant slope ruling with respect to the given surface according to Darboux Frame. We give necessary and su¢ cient conditions for these types surfaces to be developable. Also, the investigations are observed under some special cases. Especially we obtained that the striction lines and Gaussian curvature of the surfaces.                                                                                                                                                                                  .

References

  • [1] Do Carmo, M. P.: Differential Geometry of Curves and Surfaces. Prentice-Hall, ISBN 0-13-212589- 7 (1976).
  • [2] Hacısalihoğlu H.H.: Differential Geometry. Ankara, Faculty of Science Publ. (2000).
  • [3] Malecek K, Szarka J, Szarková D : Surfaces With Constant Slope and Their Generalization. J. Polish Society Geometry Eng. Graphics, 19:67-77 (2009).
  • [4] Sabuncuoğlu A. : Differential Geometry, Nobel Publication. ISBN978-975-591-237-0. Ankara (2010).
  • [5] Papageorgiou S. G., Aspragathos N. A.: Rational ruled surfaces construction by interpolating dual unit vectors representing lines. In: International Conference on Computer graphics, Visualization and Computer Vision, Pilzen, Czech Republic, 30 January–3 February 2006. Pilzen: WSCG, University of West Bohemia ( 2006).
There are 5 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Ayşe Yavuz 0000-0002-0469-3786

Fatma Ateş 0000-0002-3529-1077

Yusuf Yaylı 0000-0003-4398-3855

Publication Date October 15, 2020
Submission Date October 31, 2019
Acceptance Date October 15, 2020
Published in Issue Year 2020

Cite

APA Yavuz, A., Ateş, F., & Yaylı, Y. (2020). Ruled Surfaces with Constant Slope Ruling According to Darboux Frame. Mathematical Sciences and Applications E-Notes, 8(2), 135-144. https://doi.org/10.36753/mathenot.640345
AMA Yavuz A, Ateş F, Yaylı Y. Ruled Surfaces with Constant Slope Ruling According to Darboux Frame. Math. Sci. Appl. E-Notes. October 2020;8(2):135-144. doi:10.36753/mathenot.640345
Chicago Yavuz, Ayşe, Fatma Ateş, and Yusuf Yaylı. “Ruled Surfaces With Constant Slope Ruling According to Darboux Frame”. Mathematical Sciences and Applications E-Notes 8, no. 2 (October 2020): 135-44. https://doi.org/10.36753/mathenot.640345.
EndNote Yavuz A, Ateş F, Yaylı Y (October 1, 2020) Ruled Surfaces with Constant Slope Ruling According to Darboux Frame. Mathematical Sciences and Applications E-Notes 8 2 135–144.
IEEE A. Yavuz, F. Ateş, and Y. Yaylı, “Ruled Surfaces with Constant Slope Ruling According to Darboux Frame”, Math. Sci. Appl. E-Notes, vol. 8, no. 2, pp. 135–144, 2020, doi: 10.36753/mathenot.640345.
ISNAD Yavuz, Ayşe et al. “Ruled Surfaces With Constant Slope Ruling According to Darboux Frame”. Mathematical Sciences and Applications E-Notes 8/2 (October 2020), 135-144. https://doi.org/10.36753/mathenot.640345.
JAMA Yavuz A, Ateş F, Yaylı Y. Ruled Surfaces with Constant Slope Ruling According to Darboux Frame. Math. Sci. Appl. E-Notes. 2020;8:135–144.
MLA Yavuz, Ayşe et al. “Ruled Surfaces With Constant Slope Ruling According to Darboux Frame”. Mathematical Sciences and Applications E-Notes, vol. 8, no. 2, 2020, pp. 135-44, doi:10.36753/mathenot.640345.
Vancouver Yavuz A, Ateş F, Yaylı Y. Ruled Surfaces with Constant Slope Ruling According to Darboux Frame. Math. Sci. Appl. E-Notes. 2020;8(2):135-44.

20477

The published articles in MSAEN are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.