Cavalieri's principle definition
Understand the Problem
The question is asking for the definition of Cavalieri's principle, which relates to geometric figures and their volumes or areas. We will provide an explanation of this mathematical concept.
Answer
If two solids have the same height and cross-sectional area at every level, they have the same volume.
Cavalieri's principle states that if two solids have the same height and the same cross-sectional area at every level, then they have the same volume.
Answer for screen readers
Cavalieri's principle states that if two solids have the same height and the same cross-sectional area at every level, then they have the same volume.
More Information
Cavalieri's principle, named after Bonaventura Cavalieri, is an important concept in calculus and geometry for comparing volumes of solids.
Sources
- Cavalieri's principle in 3D (article) | Khan Academy - khanacademy.org
- Cavalieri's principle - Wikipedia - en.wikipedia.org
- Cavalieri's Principle - Math Words Encyclopedia - allmathwords.org
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