Curves and ruled surfaces according to alternative frame in dual space

Abstract

In this paper, the vectorial moments of the alternative vectors are expressed in terms of alternative frame. According to the new versions of these vectorial moments, the parametric equations of the closed ruled surfaces corresponding to the (^N); (^C); (^W) dual curves are given. The integral invariants of the these surfaces are computed and illustrated by presenting with examples.

Keywords

• Alternative frame,closed ruled surface,vectorial moment,distribution parameter,Gauss curvature,dual angle of pitch,viviani's curve

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