Full Length Research Paper
Abstract
In this paper, we give some characterizations of constant slope surfaces and Bertrand curves in Euclidean 3-space. We find parametrization of constant slope surfaces for spherical images of tangent indicatrix, principal normal indicatrix, binormal indicatrix and the Darboux indicatrix of a space curve. Furthermore, we investigate Bertrand curves corresponding to constant parameter curves of constant slope surfaces.
Key words: Bertrand curve, helix, spherical images, constant slope surface.
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