“Cavalieri's Principle”的概念、定义、习题解题方法及翻译-数学辞典

单词

Cavalieri's Principle

释义

Cavalieri's Principle

: 1. If the lengths of every one-dimensional slice are equal for two regions, then the regions have equalAreas.
: 2. If the Areas of every two-dimensional slice (Cross-Section) are equal for twoSolids, then the Solids have equal Volumes.

See also Cross-Section, Pappus's Centroid Theorem

References

Beyer, W. H. (Ed.) CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 126 and 132, 1987.

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