- Turkish Journal of Mathematics and Computer Science
- Cilt: 15 Sayı: 2
- Tubular Surfaces According to a Focal Curve in E^3
Tubular Surfaces According to a Focal Curve in E^3
Authors : Abdullah Yildirim
Pages : 433-442
Doi:10.47000/tjmcs.1092714
View : 46 | Download : 46
Publication Date : 2023-12-31
Article Type : Research
Abstract :A spine curve moves through the middle of a canal or a tubular surface. It might be asked whether it is possible to carry a spine curve over a tubular surface. For a tubular surface, we have seen that it can be done. In this study, we have given the general equations of a canal surface and a tubular surface according to a focal curve. In this case, we found the fundamental curvatures of a tubular surface. We gave theorems and proofs about the focal curve being a special curve.Keywords : Focal curve, tube surface, parameric curve, geodesic