Araştırma Makalesi

RULED SURFACE WITH CONSTANT SLOPE ACCORDING TO OSCULATING PLANE OF BASE CURVE IN GALILEAN 3- SPACE

Cilt: 4 Sayı: 2 31 Temmuz 2021
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EN

RULED SURFACE WITH CONSTANT SLOPE ACCORDING TO OSCULATING PLANE OF BASE CURVE IN GALILEAN 3- SPACE

Öz

The object of this paper is to investigate the properties of the ruled surface which direction vector has a constant slope with osculator plane of the base curve in Galiean $3-$space. We obtain some properties of this kind of ruled surface by calculating the geometric invariants. Also, we give an application on the example and their graphs are visualized by using the Mathematica program.

Anahtar Kelimeler

Kaynakça

  1. A.T. Ali, H.S. Aziz, A.H. Sorour, Ruled Surfaces Generated by Some Special Curves in Euclidean 3-space, Journal of the Egyp. Math. Soc., 21, pp.285-294 (2013).
  2. A.T. Ali, Position Vectors of Curves in the Galilean Space G3 Matematiqki Vesnik, 64(3), pp.200-210 (2012).
  3. M.E. Aydın, M.A. Kulahci, A.O. Ogrenmis, Constant curvature translation surfaces in Galilean 3-space. International Electronic Journal of Geometry. 12(1), pp.9-19 (2019).
  4. B. Divjak and Z. Milin-Sipus, Special curves on ruled surfaces in Galilean and pseudo-Galilean space, Acta Math. Hungar. 98, pp.175-187, (2003).
  5. M. Dede, Tubular surfaces in Galilean space, Math. Commun. 18, pp.209-217, (2013).
  6. M. Dede, Tube surfaces in pseudo-Galilean space, Int. J. Geom. Methods Mod. Phys., 13, pp.10-16 (2016).
  7. M. Dede, C. Ekici, W. Goemans, Y. Unluturk, Twisted surfaces with vanishing curvature in Galilean 3-space, Int. J. Geom. Methods Mod. Phys., 15(1), 1850001, 13pp. (2018).
  8. M. Dede, C. Ekici, W. Goemans, Surfaces of revolution with vanishing curvature in Galilean 3-space, J. Math. Phys. Anal. Geom. 14, no. 2, pp.141-152, (2018).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Temmuz 2021

Gönderilme Tarihi

15 Haziran 2021

Kabul Tarihi

26 Temmuz 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 4 Sayı: 2

Kaynak Göster

APA
Ates, F. (2021). RULED SURFACE WITH CONSTANT SLOPE ACCORDING TO OSCULATING PLANE OF BASE CURVE IN GALILEAN 3- SPACE. Journal of Universal Mathematics, 4(2), 109-117. https://doi.org/10.33773/jum.952868
AMA
1.Ates F. RULED SURFACE WITH CONSTANT SLOPE ACCORDING TO OSCULATING PLANE OF BASE CURVE IN GALILEAN 3- SPACE. JUM. 2021;4(2):109-117. doi:10.33773/jum.952868
Chicago
Ates, Fatma. 2021. “RULED SURFACE WITH CONSTANT SLOPE ACCORDING TO OSCULATING PLANE OF BASE CURVE IN GALILEAN 3- SPACE”. Journal of Universal Mathematics 4 (2): 109-17. https://doi.org/10.33773/jum.952868.
EndNote
Ates F (01 Temmuz 2021) RULED SURFACE WITH CONSTANT SLOPE ACCORDING TO OSCULATING PLANE OF BASE CURVE IN GALILEAN 3- SPACE. Journal of Universal Mathematics 4 2 109–117.
IEEE
[1]F. Ates, “RULED SURFACE WITH CONSTANT SLOPE ACCORDING TO OSCULATING PLANE OF BASE CURVE IN GALILEAN 3- SPACE”, JUM, c. 4, sy 2, ss. 109–117, Tem. 2021, doi: 10.33773/jum.952868.
ISNAD
Ates, Fatma. “RULED SURFACE WITH CONSTANT SLOPE ACCORDING TO OSCULATING PLANE OF BASE CURVE IN GALILEAN 3- SPACE”. Journal of Universal Mathematics 4/2 (01 Temmuz 2021): 109-117. https://doi.org/10.33773/jum.952868.
JAMA
1.Ates F. RULED SURFACE WITH CONSTANT SLOPE ACCORDING TO OSCULATING PLANE OF BASE CURVE IN GALILEAN 3- SPACE. JUM. 2021;4:109–117.
MLA
Ates, Fatma. “RULED SURFACE WITH CONSTANT SLOPE ACCORDING TO OSCULATING PLANE OF BASE CURVE IN GALILEAN 3- SPACE”. Journal of Universal Mathematics, c. 4, sy 2, Temmuz 2021, ss. 109-17, doi:10.33773/jum.952868.
Vancouver
1.Fatma Ates. RULED SURFACE WITH CONSTANT SLOPE ACCORDING TO OSCULATING PLANE OF BASE CURVE IN GALILEAN 3- SPACE. JUM. 01 Temmuz 2021;4(2):109-17. doi:10.33773/jum.952868