1
Department of Mathematics, Faculty of Science, Sohag University, Naser Street, Sohag, 82524, Egypt
2
Department of Mathematics, Faculty of Science, Islamic University of Madinah, 170 Madinah, Kingdom of Saudi Arabia
https://doi.org/10.1186/s42787-019-0023-z
Abstract
This paper aims at showing that Frenet apparatus of an evolute curve can be formed in terms of Frenet apparatus of its involute curve in the hyperbolic (de Sitter) space. Also, we establish relationships among Frenet frame of the considered curve couple. Finally, we defray some examples to confirm our main results.
Abdel-Aziz, H., Saad, M., & Abdel-Salam, A. (2019). On involute-evolute curve couple in the hyperbolic and de Sitter spaces. Journal of the Egyptian Mathematical Society, 27(1), 1-18. doi: https://doi.org/10.1186/s42787-019-0023-z
MLA
H. S. Abdel-Aziz; M. Khalifa Saad; A. A. Abdel-Salam. "On involute-evolute curve couple in the hyperbolic and de Sitter spaces". Journal of the Egyptian Mathematical Society, 27, 1, 2019, 1-18. doi: https://doi.org/10.1186/s42787-019-0023-z
HARVARD
Abdel-Aziz, H., Saad, M., Abdel-Salam, A. (2019). 'On involute-evolute curve couple in the hyperbolic and de Sitter spaces', Journal of the Egyptian Mathematical Society, 27(1), pp. 1-18. doi: https://doi.org/10.1186/s42787-019-0023-z
VANCOUVER
Abdel-Aziz, H., Saad, M., Abdel-Salam, A. On involute-evolute curve couple in the hyperbolic and de Sitter spaces. Journal of the Egyptian Mathematical Society, 2019; 27(1): 1-18. doi: https://doi.org/10.1186/s42787-019-0023-z
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