Curves and ruled surfaces according to alternative frame in dual space

Authors : Abdussamet Çalışkan, Süleyman ŞENYURT

Pages : 684-698

Doi:10.31801/cfsuasmas.487789

View : 13 | Download : 5

Publication Date : 2020-06-30

Article Type : Research Paper

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 insert ignore into journalissuearticles values(^N);; insert ignore into journalissuearticles values(^C);; insert ignore into journalissuearticles values(^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