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: 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: 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: 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: 10.1186/s42787-019-0023-z
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