ON RECTIFYING SLANT HELICES IN EUCLIDEAN 3-SPACE

Year 2016, Volume: 4 Issue: 2, 17 - 24, 15.10.2016

Bülent Altunkaya , Ferdağ K. Aksoyak , Levent Kula , Cahit Aytekin

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

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