Osculating surfaces along a curve on a surface in Euclidean 3-space

R. A. Abdel-Baky, M. Khalifa Saad

Abstract


We define an osculating surface to a surface along a curve on the surface in Euclidean 3-space E3. Then, we analyze the necessary and sufficient condition for that surface to be ruled surface. Finally, we illustrate the convenience and efficiency of this approach by some representative examples.

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Published: 2022-02-07

How to Cite this Article:

R. A. Abdel-Baky, M. Khalifa Saad, Osculating surfaces along a curve on a surface in Euclidean 3-space, J. Math. Comput. Sci., 12 (2022), Article ID 84

Copyright © 2022 R. A. Abdel-Baky, M. Khalifa Saad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 

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