On the Sabban frame belonging to involute-evolute curves
Thermal Science, vol.23, 2019 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 23
- Publication Date: 2019
- Doi Number: 10.2298/tsci181130054s
- Journal Name: Thermal Science
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: Geodesic curvature, Involute-evolute curves, Sabban frame, Smarandache curves
- Istanbul Gelisim University Affiliated: No
Abstract
In this paper, we investigate special Smarandache curves with regard to Sabban frame of involute curve. We create Sabban frame belonging to spherical indicatrix of involute curve. Smarandache curves are explained by Sabban vectors belonging to spherical indicatrix. Then, we calculate geodesic curvatures of this Smarandache curves. The results found for each curve is given depending on evolute curve. The example related to the subject is given and their figures are drawn with MAPPLE program.