Osculating surfaces along a curve on a surface in Euclidean 3-space
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.
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.
Cite this article
R. A. Abdel-Baky, M. K. Saad, Osculating surfaces along a curve on a surface in Euclidean 3-space, J. Math. Comput. Sci. 12 (2022), 84. https://doi.org/10.28919/jmcs/7109
BibTeX
@article{Abdel-Baky2022,
author = {Abdel-Baky, R. A. and Saad, M. Khalifa},
title = {Osculating surfaces along a curve on a surface in Euclidean 3-space},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {84},
doi = {10.28919/jmcs/7109}
}