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单词 Steinmetz solid
释义

Steinmetz solid

中文百科

牟合方盖

牟合方盖是一种几何体,是两个等半径圆柱躺在平面上垂直相交的公共部分,因为像是两个方形的盖子合在一起,所以被称作「牟合方盖」。

阿基米德与祖冲之分别用不同方法计算出球体的体积是\frac{4}{3} \pi r^3,r为圆柱半径。祖冲之使用的方法正是通过计算出牟合方盖的体积为\frac{16}{3} r^3,从而推出了球体体积的计算公式。

英语百科

Steinmetz solid 牟合方盖

Zu C*******'s method (similar to Cavalieri's principle) for calculating a sphere's volume includes calculating the volume of a bicylinder.
Relationship of the area of a bicylinder section with a cube section

In geometry, the Steinmetz solid is the solid body generated by the intersection of two or three cylinders of equal radius at right angles. It is named after Charles Proteus Steinmetz, though these solids were known long before Steinmetz studied them.

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更新时间:2025/6/21 1:10:22