Surface Pencil Pair Interpolating Bertrand Pair as Common Asymptotic Curves in Euclidean 3-Space-Reference-Cited by-同舟云学术

Surface Pencil Pair Interpolating Bertrand Pair as Common Asymptotic Curves in Euclidean 3-Space

Published:2023-08-13 Issue:16 Volume:11 Page:3495
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Mofarreh Fatemah¹^ORCID,Abdel-Baky Rashad A.²

Affiliation:

1. Mathematical Science Department, Faculty of Sciences, Princess Nourah bint Abdulrahman, Riyadh 11546, Saudi Arabia

2. Department of Mathematics, Faculty of Science, University of Assiut, Assiut 71516, Egypt

Abstract

In this paper, we obtain the necessary and sufficient conditions of a surface pencil pair interpolating a Bertrand pair as common asymptotic curves in Euclidean 3-space E3. Afterwards, the conclusion to the ruled surface pencil pair is also obtained. Meanwhile, the epitomes are stated to emphasize that the proposed methods are effective in product manufacturing by adjusting the shapes of the surface pencil pair.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/16/3495/pdf

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