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2019•International Journal of Analysis and ApplicationsOpen access

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

Rashad A. Abdel-Baky, Sahar H. Nazra

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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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What this paper is about

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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Available 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.

Key concepts: Developable surface, Ruled surface, Surface (topology), Mathematics, Tangent, Geometry, Space (punctuation), Euclidean geometry

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