Characteristic properties of the parallel ruled surfaces with Darboux frame in Euclidean 3- space

Abstract

In this paper, the parallel ruled surfaces with Darboux frame are introduced in Euclidean 3-space. Then some characteristic properties such as developability, striction point and distribution parameter of the parallel ruled surfaces with Darboux frame are given in Euclidean 3-space. Then we obtain Steiner rotation vector of this kind of surfaces Euclidean 3-space. By using this rotation vector, we compute pitch length and pitch angle of the parallel ruled surfaces with Darboux frame. 

Keywords

• Parallel ruled surface,Darboux frame,developability,Steiner rotation vector,pitch length,pitch angle.

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