单叶双曲面的几种构造
The construction of one-sheet hyperboloid
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| DOI |
10.12208/j.aam.20240025 |
| 刊名 |
Advances in International Applied Mathematics
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| 年，卷(期) |
2024, 6(3) |
| 作者 |
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| 作者单位 |
扬州大学数学科学学院 江苏扬州 ;
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| 摘要 |
单叶双曲面作为一类直纹曲面，因其优美的几何结构，在工程建筑中常常受到设计师的青睐。为了更好地理解单叶双曲面的内在几何结构，本文介绍该曲面的四种构造方法，其中两种方法是把该曲面作为旋转曲面，另外两种方法是把该曲面作为直线运动的轨迹。本文的结果揭示了单叶双曲面丰富的几何结构。
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| Abstract |
As a kind of ruled surfaces, the one-sheet hyperboloid is favored by designers in engineering buildings because of its excellent geometric structure. In order to better understand the intrinsic geometry of the one-sheet hyperboloid, in this paper we introduce four construction methods for such surfaces, two of which are to take the surface as a rotating one, and the other two are to take the surface as a trajectory of moving straight lines. The results of this paper reveal the rich geometry of one-sheet hyperboloid.
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| 关键词 |
单叶双曲面；直纹曲面；旋转曲面
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| KeyWord |
One-sheet hyperboloid; Ruled surface; Rotational surface
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| 基金项目 |
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| 页码 |
45-50 |
夏雨彤*,陆奕,曹锡芳.
单叶双曲面的几种构造 [J].
国际应用数学进展.
2024; 6; (3).
45 - 50.