Article
Smarandache Curves of Spatial Quaternionic Bertrand Curve According to Frenet Frame
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Abstract
In this study, Frenet vectors of spatial quaternionic Bertrand curve pair were taken as the position vector. The obtained Smarandache curves from position vector were defined. Frenet vectors, the curvature and torsion of this curve were calculated. This later the Frenet apparatus were expressed in terms of Frenet apparatus of the spatial quaternionic Bertrand curve pair. Example related to the subject was found and their drawings were done with Maple program.
Keywords
Smarandache curves, quaternionic Bertrand curve, spatial quaternion.
Citation
Senyurt, S., Yıldız, C. C., & Altun, Y. (2020). Smarandache curves of spatial quaternionic bertrand curve according to frenet frame. Turkish Journal of Science, 5(2), 49–62. https://doi.org/10.66833/TJOS-2020-0008
S. Senyurt, C. C. Yıldız and Y. Altun, “Smarandache curves of spatial quaternionic bertrand curve according to frenet frame,” Turkish Journal of Science, vol. 5, no. 2, pp. 49–62, 2020, doi: 10.66833/TJOS-2020-0008.
Senyurt S, Yıldız CC, Altun Y. Smarandache curves of spatial quaternionic bertrand curve according to frenet frame. Turkish Journal of Science. 2020;5(2):49–62. doi:10.66833/TJOS-2020-0008.
Senyurt, S., Yıldız, C. C. and Altun, Y. (2020), ‘Smarandache curves of spatial quaternionic bertrand curve according to frenet frame’, Turkish Journal of Science, 5(2), pp. 49–62. Available at: https://doi.org/10.66833/TJOS-2020-0008.
Senyurt, Suleyman, et al. “Smarandache Curves of Spatial Quaternionic Bertrand Curve According to Frenet Frame.” Turkish Journal of Science, vol. 5, no. 2, 2020, pp. 49–62. https://doi.org/10.66833/TJOS-2020-0008.
Senyurt, Suleyman, Ceyda Cevahir Yıldız, and Yasin Altun. “Smarandache Curves of Spatial Quaternionic Bertrand Curve According to Frenet Frame.” Turkish Journal of Science 5, no. 2 (2020): 49–62. https://doi.org/10.66833/TJOS-2020-0008.
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Published by: Engineering Journals


