Tubular Surfaces According to a Focal Curve in E^3

Year 2023, Volume: 15 Issue: 2, 433 - 442, 31.12.2023

Abdullah Yıldırım

https://doi.org/10.47000/tjmcs.1092714

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

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