- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Volume:66 Issue:2
- On the invariants of ruled surfaces generated by the dual involute frenet trihedron
On the invariants of ruled surfaces generated by the dual involute frenet trihedron
Authors : Mustafa BİLİCİ
Pages : 62-70
Doi:10.1501/Commua1_0000000801
View : 9 | Download : 4
Publication Date : 2017-08-01
Article Type : Research Paper
Abstract :The purpose of this paper is to describe ruled surfaces generatedby a Frenet trihedron of closed dual involute for a given dual curve. We identifyrelations between the pitch, the angle of the pitch, and the drall of thesesurfaces. Some new results related to the developability of these surfaces arealso obtained. Finally, we illustrate these surfaces by presenting one exampleKeywords : Ruled surface, dual involute evolute, dual Frenet frame, dual numbers