- Konuralp Journal of Mathematics
- Cilt: 11 Sayı: 2
- On the Construction of the Surface Family with a Common Involute Geodesic
On the Construction of the Surface Family with a Common Involute Geodesic
Authors : Mustafa Bilici, Ergin Bayram
Pages : 162-168
View : 28 | Download : 75
Publication Date : 2023-10-31
Article Type : Research
Abstract :In this study, we produce a surface family possessing an involute of a given curve as a geodesic. We find necessary and sufficient conditions for the given curve such that its involute is a geodesic on any member of the surface family. Also, we present important results for ruled and developable surfaces. Finally, we present two examples to support our results.Keywords : Involute curve, Geodesic curve, Frenet frame, Surface family