Bertrand Offsets of Slant Ruled Surfaces in Euclidean 3-Space-Reference-Cited by-同舟云学术

Bertrand Offsets of Slant Ruled Surfaces in Euclidean 3-Space

Published:2024-02-15 Issue:2 Volume:16 Page:235
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Almoneef Areej A.¹^ORCID,Abdel-Baky Rashad A.²

Affiliation:

1. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

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

Abstract

In this paper, we investigate and specify the Bertrand offsets of slant ruled and developable surfaces in Euclidean 3-space E3. This is accomplished by utilizing the symmetry of slant curves. As a consequence of this, we present the parameterization of the Bertrand offsets for any slant ruled and developable surfaces. In addition to this, we investigate the monarchies of these ruled surfaces and assign them their own unique classification. Also, we illustrate some examples of slant ruled surfaces.

Funder

Princess Nourah bint Abdulrahman University Researchers Supporting Project number

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/2/235/pdf

Reference27 articles.

1. Gugenheimer, H.W. (1956). Differential Geometry, Graw-Hill.

2. Bottema, O., and Roth, B. (1979). Theoretical Kinematics, North-Holland Press.

3. Karger, A., and Novak, J. (1985). Space Kinematics and Lie Groups, Gordon and Breach Science Publishers.

4. An application of Bertrand curves and surfaces to CAD/CAM;Papaionnou;Comput. Aided Des.,1985

5. Geometric Continuity of Ruled Surfaces;Schaaf;Comput. Aided Geom. Des.,1998

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