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

Yıl 2022, Cilt: 14 Sayı: 1, 82 - 90, 30.06.2022

Nabil Althibany

Öz

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.

Anahtar Kelimeler

Generalized cylinder, ruled surface, geodesic, line of curvature, asymptotic

Kaynakça

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