Geometry Exercises

…This is known today as Cavalieri's theorem. In 1647, the year of his death, he published his second mathematical book, Exercises in Geometry, in which he further developed the ideas of his previous work. Cavalieri's infinitesimal geometry, along with the quadrature method developed by Kepler in The Measurement of a Cask of Wine (1615), marked the beginning of modern quadrature methods that replaced the ancient method of Archimedes. …

*Some of the terminology explanations that refer to "Geometry Exercises" are listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

…これは今日〈カバリエリの定理〉という名で親しまれている。死の年の47年には第2の数学書《幾何学演習》を刊行，前著の思想をさらに展開した。カバリエリの無限小幾何学は，ケプラーの《ブドウ酒樽の測定》(1615)で展開された求積法とともに，アルキメデスの古代求積法に代わる近代的求積法の始まりを告げるものであった。…

※「《幾何学演習》」について言及している用語解説の一部を掲載しています。

出典｜株式会社平凡社世界大百科事典 第２版について | 情報