| 三轴椭球面的面积计算 |
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| 引用本文： | 徐宏枢. 三轴椭球面的面积计算[J]. 重庆工商大学学报(自然科学版), 1998, 0(1) |
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| 作者姓名： | 徐宏枢 |
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| 作者单位： | 甘肃环县第一中学 |
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| 摘 要： | 得到了三轴椭球面面积的一些新的表示，并推知三轴椭球面的面积关于其三个半轴是对称的；作为特例还得到了两类旋转椭球面的面积；最后提出了当三轴椭球面接近于球面时其面积的一个相当准确的近似表达式。
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| 关 键 词： | 三轴椭球面；面积；Legendre结果；特例；近似公式 |
The Calculation of the Area of the 3 axes Ellipsoid |
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| Xu Hongshu. The Calculation of the Area of the 3 axes Ellipsoid[J]. Journal of Chongqing Technology and Business University:Natural Science Edition, 1998, 0(1) |
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| Authors: | Xu Hongshu |
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| Abstract: | Some new formulae about the area of the 3 axes ellipsoid are obtained,by which that the area of the 3 axes ellipsoid is symmetric relation to its three semi axes is implied.The area of two classes of rotational ellipsiod is also obtained as a special example.Finally,a rather precise,approximate formula for the area of the 3 axes ellipsoid when it tends to sphere is proposed. |
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| Keywords: | the area of the 3 axes ellipsoid area Legendre results special example approximate formula |
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