Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, Cilt: 8 Sayı: 2, 135 - 144, 15.10.2020
https://doi.org/10.36753/mathenot.640345

Öz

Kaynakça

  • [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

Yıl 2020, Cilt: 8 Sayı: 2, 135 - 144, 15.10.2020
https://doi.org/10.36753/mathenot.640345

Öz

 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.                                                                                                                                                                                  .

Kaynakça

  • [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).
Toplam 5 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Ayşe Yavuz 0000-0002-0469-3786

Fatma Ateş 0000-0002-3529-1077

Yusuf Yaylı 0000-0003-4398-3855

Yayımlanma Tarihi 15 Ekim 2020
Gönderilme Tarihi 31 Ekim 2019
Kabul Tarihi 15 Ekim 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 8 Sayı: 2

Kaynak Göster

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. Ekim 2020;8(2):135-144. doi:10.36753/mathenot.640345
Chicago Yavuz, Ayşe, Fatma Ateş, ve Yusuf Yaylı. “Ruled Surfaces With Constant Slope Ruling According to Darboux Frame”. Mathematical Sciences and Applications E-Notes 8, sy. 2 (Ekim 2020): 135-44. https://doi.org/10.36753/mathenot.640345.
EndNote Yavuz A, Ateş F, Yaylı Y (01 Ekim 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, ve Y. Yaylı, “Ruled Surfaces with Constant Slope Ruling According to Darboux Frame”, Math. Sci. Appl. E-Notes, c. 8, sy. 2, ss. 135–144, 2020, doi: 10.36753/mathenot.640345.
ISNAD Yavuz, Ayşe vd. “Ruled Surfaces With Constant Slope Ruling According to Darboux Frame”. Mathematical Sciences and Applications E-Notes 8/2 (Ekim 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 vd. “Ruled Surfaces With Constant Slope Ruling According to Darboux Frame”. Mathematical Sciences and Applications E-Notes, c. 8, sy. 2, 2020, ss. 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.

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