Namespaces
Variants
Actions

Cavalieri principle

From Encyclopedia of Mathematics
Revision as of 06:37, 23 April 2012 by TBloom (talk | contribs) (Added TeX done tag)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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=17072