Last Updated
：2025/12/07
Cavalieri's principle
Proper noun
Japanese Meaning
カヴァレリアの原理とは、無限小分割の考え方を発展させたもので、囲まれた領域を線または平面の交差によって考察し、二次元の面積や三次元の体積の性質を明らかにする原理です。積分法の発展へとつながる初期の数学的手法と位置付けられます。
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(geometry) A development of the method of indivisibles, dealing with two-dimensional area or three-dimensional volume based on the intersections of lines or planes surrounding a region. It was an early step toward integral calculus.
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Cavalieri's principle
Cavalieri's principle allowed 17th-century mathematicians to compare volumes by examining corresponding cross-sections, paving the way to integral calculus.
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Cavalieri's principle allowed 17th-century mathematicians to compare volumes by examining corresponding cross-sections, paving the way to integral calculus.
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