| 巧用克鲁金定理 |
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| 引用本文： | 任京男,王健生.巧用克鲁金定理[J].上海海事大学学报,1996(1). |
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| 作者姓名： | 任京男 王健生 |
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| 作者单位： | 上海海运学院基础科学部 |
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| 摘 要： | 巧妙地运用克鲁金定理，仅用代数方法就解决了一些积分问题。笔者还从克鲁金定理出发，导出了库斯科夫公式，并举出其应用实例。
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| 关 键 词： | 旋转体，克鲁金定理，重心，旋转曲面，库斯科夫公式 |
A Wise Application of Guldin Theorem |
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| Ren Jingnan,Wang Jiansheng.A Wise Application of Guldin Theorem[J].Journal of Shanghai Maritime University,1996(1). |
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| Authors: | Ren Jingnan Wang Jiansheng |
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| Institution: | Ren Jingnan;Wang Jiansheng |
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| Abstract: | This paper shows a short cut in solving some integral problems simply by algebraic methods as a wise application of Guldin Theorem. Moreover, it deduces Kyskoff FOrmula directly from Guldin Theorem, and presents some typical examples using the formula. |
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| Keywords: | solid of revolution Guldin Theorem center of gravity surface of revolution Kyskoff Formula |
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