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arXiv · 1602.03413

On rectifying slant helices in Euclidean 3-space

Bülent Altunkaya·Ferdağ Kahraman Aksoyak·Levent Kula·Cahit Aytekin
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Abstract

In this paper, we study the position vectors of rectifying slant helices in $E^3$. First, we have found the general equations of the curvature and the torsion of rectifying slant helices. After that, we have constructed a second order linear differential equation and by solving the equation, we have obtained a family of rectifying slant helices which lie on cones.

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Bülent Altunkaya, Ferdağ Kahraman Aksoyak, Levent Kula, Cahit Aytekin. 2016-01-21. On rectifying slant helices in Euclidean 3-space. https://arxiv.org/abs/1602.03413

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