- Journal of New Theory
- Issue: 33
- Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame
Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame
Authors : Gül Ugur Kaymanli
Pages : 50-55
View : 12 | Download : 5
Publication Date : 2020-12-31
Article Type : Research
Abstract :In this paper, we first introduce the evolute offset of non-cylindrical ruled surfaces with B-Darboux frame in Euclidean 3-space. Then some geometric properties of this evolute offset of non-cylindrical ruled surface are studied. That is, we examine the striction curve, distribution parameter, orthogonal trajectory of evolute offset of ruled surfaces in terms of B-Darboux frame of given ruled surfaces, and we study the developability of ruled surface generated by B-Darboux vectors in three-dimensional Euclidean space.Keywords : B-Darboux Frame, Curvatures, Evolute Offset, Ruled Surface