Difference between revisions of "Cavalieri principle"
From Encyclopedia of Mathematics
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The volumes (or areas) of two solids (or plane figures) are equal if the areas (or lengths) of corresponding sections drawn parallel to some given plane (or line) are equal. This statement, already familiar to the ancient Greeks, is generally called Cavalieri's principle, although B. Cavalieri (1635) did not accept it as a principle, but proved it. | The volumes (or areas) of two solids (or plane figures) are equal if the areas (or lengths) of corresponding sections drawn parallel to some given plane (or line) are equal. This statement, already familiar to the ancient Greeks, is generally called Cavalieri's principle, although B. Cavalieri (1635) did not accept it as a principle, but proved it. | ||
Latest revision as of 06:37, 23 April 2012
The volumes (or areas) of two solids (or plane figures) are equal if the areas (or lengths) of corresponding sections drawn parallel to some given plane (or line) are equal. This statement, already familiar to the ancient Greeks, is generally called Cavalieri's principle, although B. Cavalieri (1635) did not accept it as a principle, but proved it.
How to Cite This Entry:
Cavalieri principle. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cavalieri_principle&oldid=25123
Cavalieri principle. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cavalieri_principle&oldid=25123