ON THE STRICTION CURVES OF INVOLUTIVE FRENET RULED SURFACES IN E3

Abstract

In this article we conceive eight ruled surfaces related to the evolute curve and involute . They are called as Frenet ruled surface and involutive Frenet ruled surfaces, cause of their generators are Frenet vector elds of evolute curve . First we give tangent vector elds of striction curves of all Frenet ruled surfaces and the tangent vector elds of striction curves of involutive Frenet ruled surfaces are given according to Frenet apparatus of evolute curve . Further we give only one matrix in which we can see sixteen position of these tangent vector elds, such that we can say there is six position the tangent vector elds are perpendicular.

Keywords

• Involute curve,Striction curves,Ruled surfaces,Frenet ruled surface,Involutive Frenet ruled surface

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