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Investigation of Curvature Functions of Special Ruled Surfaces in Euclidean 3-Space

Article scientifique 2024 Anglais

Résumé

Abstract This paper aims to study special types of ruled surfaces in three-dimensional Euclidean space E3. These surfaces are constructed by focal and slant curves, and generated by Frenet vectors of these curves. Also, some geometric properties and important results for these surfaces such as related to the curvatures of these surfaces are obtained. Finally, some computational examples that illustrate the validity of the theoretical results of this study are given and plotted. MSC (2020). 53A04, 53A05, 53A10, 53C40.

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Saad, M., Abdel-Aziz, H., Sorour, A. (2024). Investigation of Curvature Functions of Special Ruled Surfaces in Euclidean 3-Space. https://doi.org/10.21203/rs.3.rs-4197290/v1

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