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- Cavalieri's_principle abstract "In geometry, Cavalieri's principle, sometimes called 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.".
- Cavalieri's_principle thumbnail Cavalieri's_Principle_in_Coins.JPG?width=300.
- Cavalieri's_principle wikiPageExternalLink Grobler5_2011.pdf.
- Cavalieri's_principle wikiPageExternalLink prinzip-von-cavalieri.html.
- Cavalieri's_principle wikiPageID "21697672".
- Cavalieri's_principle wikiPageRevisionID "596424155".
- Cavalieri's_principle hasPhotoCollection Cavalieri's_principle.
- Cavalieri's_principle title "Cavalieri's Principle".
- Cavalieri's_principle urlname "CavalierisPrinciple".
- Cavalieri's_principle subject Category:Geometry.
- Cavalieri's_principle subject Category:History_of_calculus.
- Cavalieri's_principle subject Category:Mathematical_principles.
- Cavalieri's_principle type Abstraction100002137.
- Cavalieri's_principle type Cognition100023271.
- Cavalieri's_principle type Content105809192.
- Cavalieri's_principle type Generalization105913275.
- Cavalieri's_principle type Idea105833840.
- Cavalieri's_principle type MathematicalPrinciples.
- Cavalieri's_principle type Principle105913538.
- Cavalieri's_principle type PsychologicalFeature100023100.
- Cavalieri's_principle comment "In geometry, Cavalieri's principle, sometimes called 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.".
- Cavalieri's_principle label "Cavalieri's principle".
- Cavalieri's_principle label "Metodo degli indivisibili".
- Cavalieri's_principle label "Méthode des indivisibles".
- Cavalieri's_principle label "Principio de Cavalieri".
- Cavalieri's_principle label "Prinzip von Cavalieri".
- Cavalieri's_principle label "Zasada Cavalieriego".
- Cavalieri's_principle label "Метод неделимых".
- Cavalieri's_principle label "カヴァリエリの原理".
- Cavalieri's_principle label "祖暅原理".
- Cavalieri's_principle sameAs Cavalieriův_princip.
- Cavalieri's_principle sameAs Prinzip_von_Cavalieri.
- Cavalieri's_principle sameAs Principio_de_Cavalieri.
- Cavalieri's_principle sameAs Méthode_des_indivisibles.
- Cavalieri's_principle sameAs Metodo_degli_indivisibili.
- Cavalieri's_principle sameAs カヴァリエリの原理.
- Cavalieri's_principle sameAs 카발리에리의_원리.
- Cavalieri's_principle sameAs Zasada_Cavalieriego.
- Cavalieri's_principle sameAs m.05pdc4z.
- Cavalieri's_principle sameAs Q586686.
- Cavalieri's_principle sameAs Q586686.
- Cavalieri's_principle sameAs Cavalieri's_principle.
- Cavalieri's_principle wasDerivedFrom Cavalieri's_principle?oldid=596424155.
- Cavalieri's_principle depiction Cavalieri's_Principle_in_Coins.JPG.
- Cavalieri's_principle isPrimaryTopicOf Cavalieri's_principle.