Journals / Journal of New Theory / 2020 / Sayı: 33
Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame
- Journal
- Journal of New Theory
- Issue
- 2020 · Sayı: 33
- Pages
- 50–55
- DOI
- —
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.