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Characteristic properties of the parallel ruled surfaces with Darboux frame in Euclidean 3- space
Journal: Communication in Mathematical Modeling and Applications (Vol.1, No. 1)Publication Date: 2016-01-01
Authors : Yasin Unluturk; Muradiye Çimdiker;
Page : 26-43
Keywords : Parallel ruled surface Darboux frame developability Steiner rotation vector pitch length pitch angle;
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- Characteristic properties of the parallel ruled surfaces with Darboux frame in Euclidean 3- space
- Parallel Surfaces of Spacelike Ruled Weingarten Surfaces in Minkowski 3-space
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- On the striction curves along the involutive and Bertrandian Darboux ruled surfaces based on the tangent vector fields
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.
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Last modified: 2016-10-31 00:56:34