On rectifying slant helices in Euclidean 3-space

Abstract

In this paper, we study the position vectors of rectifying slant helices in E3. 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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