-
1. Bonaventura Cavalieri - Wikipedia
Link: https://en.wikipedia.org/wiki/Bonaventura_Cavalieri
Description: WebBonaventura Francesco Cavalieri (Latin: Bonaventura Cavalerius; 1598 – 30 November 1647) was an Italian mathematician and a Jesuate. He is known for his work on the problems of optics and motion, work on indivisibles, the precursors of infinitesimal calculus, and the introduction of logarithms to Italy.
-
2. Bonaventura Cavalieri | Geometry, Indivisibles & Calculus
Link: https://www.britannica.com/biography/Bonaventura-Cavalieri
Description: WebFeb 21, 2024 · Bonaventura Cavalieri (born 1598, Milan [Italy]—died Nov. 30, 1647, Bologna, Papal States) was an Italian mathematician who made developments in geometry that were precursors to integral calculus. As a boy Cavalieri joined the Jesuati, a religious order (sometimes called “Apostolic Clerics of St. Jerome”) that followed the rule of St ...
-
3. Bonaventura Cavalieri (1598 - 1647) - Biography - MacTutor …
Link: https://mathshistory.st-andrews.ac.uk/Biographies/Cavalieri/
Description: WebNov 30, 2011 · 1598. Milan, Duchy of Milan, Habsburg Empire (now Italy) Died. 30 November 1647. Bologna, Papal States (now Italy) Summary. Bonaventura Cavalieri was an Italian mathematician who developed a method of indivisibles which became a factor in the development of the integral calculus. View four larger pictures. Biography.
-
4. Cavalieri's principle - Wikipedia
Link: https://en.wikipedia.org/wiki/Cavalieri%27s_principle
Description: WebIn geometry, Cavalieri's principle, a modern implementation of the method of indivisibles, named after Bonaventura Cavalieri, is as follows: 2-dimensional case: Suppose two regions in a plane are included between two parallel lines in that plane.
-
5. Cavalieri's principle in 2D (article) | Khan Academy
Link: https://www.khanacademy.org/math/geometry/hs-geo-solids/xff63fac4:hs-geo-cavalieri-s-principle/a/cavalieri-s-principle-in-2d
Description: WebCavalieri's principle in 2D Key idea: If two figures have the same height and the same width at every point along that height, they have the same area . Wait a second, you already know this!
-
6. Cavalieri's principle in 3D (article) | Khan Academy
Link: https://www.khanacademy.org/math/geometry/hs-geo-solids/xff63fac4:hs-geo-cavalieri-s-principle/a/cavalieri-s-principle-in-3d
Description: WebCavalieri's principle in 3D. Key idea: If two 3D figures have the same height and the same cross-sectional area at every point along that height, they have the same volume . More technical definition of Cavalieri's principle in 3D.
-
7. Cavalieri's principle in 3D (video) | Khan Academy
Link: https://www.khanacademy.org/math/geometry/hs-geo-solids/xff63fac4:hs-geo-cavalieri-s-principle/v/cavalieris-principle-in-3d
Description: WebCavalieri's principle in 3D. Cavalieri's principle tells us that if 2 figures have the same height and the same cross-sectional area at every point along that height, they have the same volume. Created by Sal Khan.
-
8. Cavalieri’s Principle - The Story of Mathematics
Link: https://www.storyofmathematics.com/cavalieri-principle/
Description: WebApr 18, 2023 · This discussion also covers examples and applications of Cavalieri’s Principle. What Is Cavalieri’s Principle? Cavalieri’s Principle is a principle stating that the volumes of two or more solids are equal when they share the same areas and lengths for their cross-sections and heights, respectively. This principle is also applicable for ...
-
9. The Galileo Project | Science | Bonaventura Cavalieri
Link: http://galileo.rice.edu/sci/cavalieri.html
Description: WebCavalieri published eleven books on mathematical subjects (including burning mirrors, astrology, and logarithms). He is chiefly remembered for his work on the problem "indivisibles." Building on the work of Archimedes, he investigated the method of construction by which areas and volumes of curved figures could be found.
-
10. Mathematical Treasure: Cavalieri's Indivisibles
Link: https://maa.org/press/periodicals/convergence/mathematical-treasure-cavalieris-indivisibles
Description: WebBonaventura Cavalieri (1598-1647) was an Italian mathematician and a Catholic priest of the Order of Jesuati. He is perhaps best remembered for his contributions to the foundations of the calculus through the use of “indivisibles.” His theories on this concept were summarized in his Exercitationes geometricae sex (1647).