| 悬链面与正螺面之间的内在关系 |
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| 引用本文： | 莫妮佳,纪永强.悬链面与正螺面之间的内在关系[J].湖州师专学报,2012(1):23-26. |
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| 作者姓名： | 莫妮佳 纪永强 |
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| 作者单位： | 湖州师范学院理学院,浙江湖州313000 |
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| 摘 要： | 研究了两类著名的且极其重要的极小曲面——悬链面与正螺面之间的内在联系．得到了具有不同参数的悬链面和正螺面是成等角对应，即当悬链面中顶点到原点的距离为a，正螺面中的螺距变成b时（其中b是速度与角速度的比值），则悬链面与正螺面是成等角对应的关系．
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| 关 键 词： | 悬链面 正螺面 等距等价 保角变换 |
The Inside Relation Between the Catenoid and Helicoid |
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| Institution: | MO Ni-jia, JI Yong- qiang (Faculty of Science, H uzhou Teachers College, H uzhou a13000, China) |
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| Abstract: | This paper mainly introduces the inside relation between the catenoid and helicoid. They are two types of famous and very important minimal surfaces. It proves there is a conformal mapping between the two surfaces with the apex and origin, and the different parameters, when a on the catenoid means the distance between pitch on the helicoid turns to b （b means the ratio of velocity to angular velocity）. |
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| Keywords: | the catenoid the helicoid sometric correspondence angle - preserving transformation |
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