Normal Ruled Surfaces of a Surface along a Curve in Euclidean 3-Space E3

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R. A. Abdel-Baky
S. H. Nazra

Abstract

In this paper, we define a ruled surface normal to a surface along a curve on the surface. Then, we analyze the necessary and sufficient condition for that surface to be normal developable. Also, we solve the problem when the resulting developable surface is a cylinder, cone or tangent surface. Finally, we give some representative examples.

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