- Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 13 Issue: 2
- Hiperbolik Yükseltme İle Açılabilir Yüzeyler Üzerine Bir Çalışma
Hiperbolik Yükseltme İle Açılabilir Yüzeyler Üzerine Bir Çalışma
Authors : Ilkay Güven, Mustafa Dede, Cumali Ekici
Pages : 544-549
Doi:10.18185/erzifbed.672100
View : 10 | Download : 3
Publication Date : 2020-08-31
Article Type : Research
Abstract :In this paper, by using a hyperbolic lifting transformation to a plane curve, we construct an envelope ruled surface. Then we show that it is a developable surface in three dimensional Euclidean space and we give the conditions of this surface to be a minimal surface and constant mean curvature surface. Finally, we constructed some examples and graph the curves and surfaces given in examples. In this paper, by using a hyperbolic lifting transformation to a plane curve, we construct an envelope ruled surface. Then we show that it is a developable surface in three dimensional Euclidean space and we give the conditions of this surface to be a minimal surface and constant mean curvature surface. Finally, we constructed some examples and graph the curves and surfaces given in examples.Keywords : Ruled surface, Developable surface, Envelope surface, Curve lifting