- Turkish Journal of Mathematics and Computer Science
- Vol: 14 Issue: 1
- Designing Generalized Cylinder with Characteristic Base Curve in Euclidean 3-space
Designing Generalized Cylinder with Characteristic Base Curve in Euclidean 3-space
Authors : Nabil Althibany
Pages : 82-90
Doi:10.47000/tjmcs.1012276
View : 7 | Download : 3
Publication Date : 2022-06-30
Article Type : Research
Abstract :Designing a surface from a given curve under some special conditions is an important problem in many practical applications. The purpose of this article is to design a generalized cylinder whose base curve is a characteristic curve in Euclidean 3- space. The main results show that the generalized cylinder with geodesic, line of curvature, or asymptotic base curve is a rectifying cylinder, a right cylinder, or a plane respectively.Keywords : Generalized cylinder, ruled surface, geodesic, line of curvature, asymptotic