On the invariants of ruled surfaces generated by the dual involute frenet trihedron

Abstract

The purpose of this paper is to describe ruled surfaces generatedby a Frenet trihedron of closed dual involute for a given dual curve. We identifyrelations between the pitch, the angle of the pitch, and the drall of thesesurfaces. Some new results related to the developability of these surfaces arealso obtained. Finally, we illustrate these surfaces by presenting one example

Keywords

• Ruled surface,dual involute-evolute,dual Frenet frame,dual numbers

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15. Current address : Ondokuz Mayıs University, Educational Faculty, Department of Mathematics Atakum, Samsun, TURKEY. E-mail address : [e-mail]