Tubular Surfaces According to a Focal Curve in E^3

Authors : Abdullah Yildirim

Pages : 433-442

Doi:10.47000/tjmcs.1092714

View : 56 | Download : 53

Publication Date : 2023-12-31

Article Type : Research Paper

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