Designing Generalized Cylinder with Characteristic Base Curve in Euclidean 3-space

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Turkish Journal of Mathematics and Computer Science
Volume: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

Pages : 82-90

View : 39 | Download : 9

Publication Date : 2022-06-30

Article Type : Research Paper

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

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