ON THE INVARIANTS OF RULED SURFACES GENERATED BY THE DUAL INVOLUTE FRENET TRIHEDRON
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.66, no.2, pp.62-70, 2017 (ESCI, TRDizin)
- Publication Type: Article / Article
- Volume: 66 Issue: 2
- Publication Date: 2017
- Doi Number: 10.1501/commua1_0000000801
- Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Page Numbers: pp.62-70
- Keywords: Ruled surface, dual involute-evolute, dual Frenet frame, dual numbers, PITCH
- Ondokuz Mayıs University Affiliated: Yes
Abstract
The purpose of this paper is to describe ruled surfaces generated by a Frenet trihedron of closed dual involute for a given dual curve. We identify relations between the pitch, the angle of the pitch, and the drall of these surfaces. Some new results related to the developability of these surfaces are also obtained. Finally, we illustrate these surfaces by presenting one example.