Article
An examination on N −D∗ partner curves with common principal normal and Darboux vector in E^3.
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Abstract
In this paper, we define and examine curves with common principal normal and Darboux vectors such that the principal normal vector of first curve and the Darboux vector of second curve are linearly dependent. We name the first curve as N − D∗ curve, and the second curve as the N − D∗ partner curve. These new curves are called N − D∗ pair curves. Also we give the Frenet-Serret apparatus of the second curve based on the Frenet-Serret apparatus of first curve.
Keywords
Darboux vector, Offset curves, Mannheim curves, Bertrand pairs.
Citation
Kılıcoglu, S. & Senyurt, S. (2021). An examination on n −d∗ partner curves with common principal normal and darboux vector in E^3. Turkish Journal of Science, 6(2), 89–95. https://doi.org/10.66833/TJOS-2021-0012
S. Kılıcoglu and S. Senyurt, “An examination on n −d∗ partner curves with common principal normal and darboux vector in E^3,” Turkish Journal of Science, vol. 6, no. 2, pp. 89–95, 2021, doi: 10.66833/TJOS-2021-0012.
Kılıcoglu S, Senyurt S. An examination on n −d∗ partner curves with common principal normal and darboux vector in E^3. Turkish Journal of Science. 2021;6(2):89–95. doi:10.66833/TJOS-2021-0012.
Kılıcoglu, S. and Senyurt, S. (2021), ‘An examination on n −d∗ partner curves with common principal normal and darboux vector in E^3’, Turkish Journal of Science, 6(2), pp. 89–95. Available at: https://doi.org/10.66833/TJOS-2021-0012.
Kılıcoglu, Seyda, and Suleyman Senyurt. “An Examination on N −d∗ Partner Curves with Common Principal Normal and Darboux Vector in E^3.” Turkish Journal of Science, vol. 6, no. 2, 2021, pp. 89–95. https://doi.org/10.66833/TJOS-2021-0012.
Kılıcoglu, Seyda, and Suleyman Senyurt. “An Examination on N −d∗ Partner Curves with Common Principal Normal and Darboux Vector in E^3.” Turkish Journal of Science 6, no. 2 (2021): 89–95. https://doi.org/10.66833/TJOS-2021-0012.
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Published by: Engineering Journals
