ON RECTIFYING SLANT HELICES IN EUCLIDEAN 3-SPACE

Authors : Bülent ALTUNKAYA, Ferdağ K AKSOYAK, Levent KULA, Cahit AYTEKİN

Pages : 17-24

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Publication Date : 2016-10-15

Article Type : Research Paper

Abstract :In this paper, we study the position vector 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.
Keywords : Rectifying Curve, Curvature, Torsion, Slant Helix, Cone