| 关于阿基米德合盖体积公式的注记 |
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| 引用本文： | 汪晓勤.关于阿基米德合盖体积公式的注记[J].曲阜师范大学学报,2000,26(4):25-28. |
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| 作者姓名： | 汪晓勤 |
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| 作者单位： | 浙江大学西溪校区数学系!310028，杭州市，浙江师范大学数学系，321004，浙江省金华市 |
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| 摘 要： | 对阿基米德《方法》中关于底面半径相同的两个直交圆柱公共部分立体 (牟合方盖 )的体积公式的证明作了复原
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| 关 键 词： | 阿基米德 合盖 |
NOTES ON ARCHIMEDES' PROOFS OF THE VOLUME OF JOINED UMBRELLA |
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| WANG Xiao-qin.NOTES ON ARCHIMEDES' PROOFS OF THE VOLUME OF JOINED UMBRELLA[J].Journal of Qufu Normal University(Natural Science),2000,26(4):25-28. |
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| Authors: | WANG Xiao-qin |
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| Abstract: | This paper is an attempt to reproduce Archimedes' lost proofs of the volume of the solid included between two cylinders, each of which is inscribed in one and the same cube so that its opposite bases are in two opposite faces of the cube and its surface touches the other four faces, known as the joined umbrellas in ancient China. The first proof is similar to that of the volume of a sphere in his On the Sphere and Cylinder and the second one can be found in his On Conoids and Spheroids . |
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| Keywords: | Archimedes the joined umbrellas |
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