根据 E^3 中焦点曲线的管状表面

Turkish Journal of Mathematics and Computer Science Pub Date : 2023-08-11 DOI:10.47000/tjmcs.1092714

Abdullah Yildirim

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引用次数: 0

摘要

脊柱曲线在管道或管状表面中间移动。也许有人会问，在管状表面上进行脊曲线运动是否可行。对于管状曲面，我们已经看到可以做到。在本研究中，我们根据焦点曲线给出了管状表面和管状表面的一般方程。在这种情况下，我们找到了管状曲面的基本曲率。我们给出了关于焦点曲线是特殊曲线的定理和证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Tubular Surfaces According to a Focal Curve in E^3

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.

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Turkish Journal of Mathematics and Computer Science

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