Full Length Research Paper
Abstract
In this paper, we study Frenet-Serret motion and ruled surfaces with constant slope in Euclidean 3-space. By applying Frenet-Serret motion to the points of a cone, we obtain ruled surfaces with constant slope and we investigate these surfaces. We give the definition of a Smarandache curve in Euclidean 3-space. Also, we define a new type of general helix curves on a ruled surface in Euclidean 3-space.
Key words: Frenet-Serret motion, Smarandache curves, constant slope surfaces, ruled surfaces, helix curves.
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