Last Updated:2025/12/07
Sentence
カヴァリエリの原理は、線や平面の交わり(対応する断面)を比較することで平面の面積や立体の体積を比べる、不可分法の発展であり、17世紀の数学者たちが立体の体積を比較することを可能にし、積分学への道を開きました。
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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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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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Related words
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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