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- Cavalieris_principle abstract "In 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. If every line parallel to these two lines intersects both regions in line segments of equal length, then the two regions have equal areas. 3-dimensional case: Suppose two regions in three-space (solids) are included between two parallel planes. If every plane parallel to these two planes intersects both regions in cross-sections of equal area, then the two regions have equal volumes.Today Cavalieri's principle is seen as an early step towards integral calculus, and while it is used in some forms, such as its generalization in Fubini's theorem, results using Cavalieri's principle can often be shown more directly via integration. In the other direction, Cavalieri's principle grew out of the ancient Greek method of exhaustion, which used limits but did not use infinitesimals.".
- Cavalieris_principle thumbnail Cavalieris_Principle_in_Coins.JPGwidth=300.
- Cavalieris_principle wikiPageExternalLink Grobler5_2011.pdf.
- Cavalieris_principle wikiPageExternalLink prinzip-von-cavalieri.html.
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- Cavalieris_principle wikiPageWikiLink Archimedes.
- Cavalieris_principle wikiPageWikiLink Bonaventura_Cavalieri.
- Cavalieris_principle wikiPageWikiLink Category:Area.
- Cavalieris_principle wikiPageWikiLink Category:Geometry.
- Cavalieris_principle wikiPageWikiLink Category:History_of_calculus.
- Cavalieris_principle wikiPageWikiLink Category:Mathematical_principles.
- Cavalieris_principle wikiPageWikiLink Category:Volume.
- Cavalieris_principle wikiPageWikiLink Cavalieris_principle.
- Cavalieris_principle wikiPageWikiLink Cone.
- Cavalieris_principle wikiPageWikiLink Cone_(geometry).
- Cavalieris_principle wikiPageWikiLink Cross_section_(geometry).
- Cavalieris_principle wikiPageWikiLink Cycloid.
- Cavalieris_principle wikiPageWikiLink Evangelista_Torricelli.
- Cavalieris_principle wikiPageWikiLink Fubinis_theorem.
- Cavalieris_principle wikiPageWikiLink Geometry.
- Cavalieris_principle wikiPageWikiLink Hilberts_third_problem.
- Cavalieris_principle wikiPageWikiLink Infinitesimal.
- Cavalieris_principle wikiPageWikiLink Integral.
- Cavalieris_principle wikiPageWikiLink Integral_calculus.
- Cavalieris_principle wikiPageWikiLink John_Wallis.
- Cavalieris_principle wikiPageWikiLink Method_of_exhaustion.
- Cavalieris_principle wikiPageWikiLink Napkin_ring_problem.
- Cavalieris_principle wikiPageWikiLink Pyramid_(geometry).
- Cavalieris_principle wikiPageWikiLink Pythagorean_theorem.
- Cavalieris_principle wikiPageWikiLink Renaissance_Europe.
- Cavalieris_principle wikiPageWikiLink Sphere.
- Cavalieris_principle wikiPageWikiLink The_Renaissance.
- Cavalieris_principle wikiPageWikiLink Zu_Chongzhi.
- Cavalieris_principle wikiPageWikiLink Zu_Gengzhi.
- Cavalieris_principle wikiPageWikiLink File:Bonaventura_Cavalieri.jpeg.
- Cavalieris_principle wikiPageWikiLink File:Cavalieris_Principle_in_Coins.JPG.
- Cavalieris_principle wikiPageWikiLink File:Folded_cycloid.svg.
- Cavalieris_principle wikiPageWikiLink File:Sphere_bands.svg.
- Cavalieris_principle wikiPageWikiLink File:Sphere_cavalieri.svg.
- Cavalieris_principle wikiPageWikiLinkText "Cavalieri's Theorem".
- Cavalieris_principle wikiPageWikiLinkText "Cavalieri's principle".
- Cavalieris_principle wikiPageWikiLinkText "Cavalieri's_principle#Cycloids".
- Cavalieris_principle wikiPageWikiLinkText "a similar method".
- Cavalieris_principle hasPhotoCollection Cavalieris_principle.
- Cavalieris_principle title "Cavalieri's Principle".
- Cavalieris_principle urlname "CavalierisPrinciple".
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- Cavalieris_principle subject Category:Area.
- Cavalieris_principle subject Category:Geometry.
- Cavalieris_principle subject Category:History_of_calculus.
- Cavalieris_principle subject Category:Mathematical_principles.
- Cavalieris_principle subject Category:Volume.
- Cavalieris_principle type Redirect.
- Cavalieris_principle comment "In 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. If every line parallel to these two lines intersects both regions in line segments of equal length, then the two regions have equal areas. 3-dimensional case: Suppose two regions in three-space (solids) are included between two parallel planes.".
- Cavalieris_principle label "Cavalieri's principle".
- Cavalieris_principle label "Cavalieris principle".
- Cavalieris_principle sameAs Prinzip_von_Cavalieri.
- Cavalieris_principle sameAs Cavalieriův_princip.
- Cavalieris_principle sameAs Prinzip_von_Cavalieri.
- Cavalieris_principle sameAs Principio_de_Cavalieri.
- Cavalieris_principle sameAs اصل_کاوالیری.
- Cavalieris_principle sameAs Cavalierin_periaate.
- Cavalieris_principle sameAs Méthode_des_indivisibles.
- Cavalieris_principle sameAs עקרון_קאוואליירי.
- Cavalieris_principle sameAs Metodo_degli_indivisibili.
- Cavalieris_principle sameAs カヴァリエリの原理.
- Cavalieris_principle sameAs Кавальери_приципі.
- Cavalieris_principle sameAs 카발리에리의_원리.
- Cavalieris_principle sameAs Zasada_Cavalieriego.
- Cavalieris_principle sameAs Prinsipi_ëd_Cavalieri.
- Cavalieris_principle sameAs Princípio_de_Cavalieri.
- Cavalieris_principle sameAs m.05pdc4z.
- Cavalieris_principle sameAs Метод_неделимых.
- Cavalieris_principle sameAs Принцип_Кавальєрі.
- Cavalieris_principle sameAs Nguyên_lí_Cavalieri.
- Cavalieris_principle sameAs Q586686.
- Cavalieris_principle sameAs Q586686.
- Cavalieris_principle sameAs 祖暅原理.
- Cavalieris_principle wasDerivedFrom Cavalieris_principle?oldid=409804011.
- Cavalieris_principle wasDerivedFrom Cavalieris_principleoldid=674255085.
- Cavalieris_principle depiction Cavalieris_Principle_in_Coins.JPG.
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