Principle of Cavalieri: volume of the ball
- Author:
- Т.С.
В благодарную память о uStas'е
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Illustration of the volume of the ball using the principle of Cavalieri.
Suppose two regions in three-space (solids) are included between two parallel planes.
If every plane parallel to these two planes intersects both regions in cross-sections of equal area,
then the two regions have equal volumes.