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• Method_of_exhaustion abstract "The method of exhaustion (methodus exhaustionibus, or méthode des anciens) is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape. If the sequence is correctly constructed, the difference in area between the n-th polygon and the containing shape will become arbitrarily small as n becomes large. As this difference becomes arbitrarily small, the possible values for the area of the shape are systematically "exhausted" by the lower bound areas successively established by the sequence members.The method of exhaustion typically required a form of proof by contradiction, known as reductio ad absurdum. This amounts to finding an area of a region by first comparing it to the area of a second region (which can be “exhausted” so that its area becomes arbitrarily close to the true area). The proof involves assuming that the true area is greater than the second area, and then proving that assertion false, and then assuming that it is less than the second area, and proving that assertion false, too.".
• Method_of_exhaustion thumbnail Grégoire_de_Saint-Vincent_(1584-1667).jpg?width=300.
• Method_of_exhaustion wikiPageID "1721284".
• Method_of_exhaustion wikiPageRevisionID "593997206".
• Method_of_exhaustion hasPhotoCollection Method_of_exhaustion.
• Method_of_exhaustion subject Category:Euclidean_geometry.
• Method_of_exhaustion subject Category:History_of_mathematics.
• Method_of_exhaustion subject Category:Integral_calculus.
• Method_of_exhaustion subject Category:Volume.
• Method_of_exhaustion comment "The method of exhaustion (methodus exhaustionibus, or méthode des anciens) is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape. If the sequence is correctly constructed, the difference in area between the n-th polygon and the containing shape will become arbitrarily small as n becomes large.".
• Method_of_exhaustion label "Exhaustionsmethode".
• Method_of_exhaustion label "Method of exhaustion".
• Method_of_exhaustion label "Metoda wyczerpywania".
• Method_of_exhaustion label "Metodo di esaustione".
• Method_of_exhaustion label "Méthode d'exhaustion".
• Method_of_exhaustion label "Método da exaustão".
• Method_of_exhaustion label "Método exhaustivo".
• Method_of_exhaustion label "Uitputtingsmethode".
• Method_of_exhaustion label "Метод исчерпывания".
• Method_of_exhaustion label "طريقة الاستنفاد".
• Method_of_exhaustion label "取り尽くし法".
• Method_of_exhaustion label "穷举法".
• Method_of_exhaustion sameAs Exhaustionsmethode.
• Method_of_exhaustion sameAs Método_exhaustivo.
• Method_of_exhaustion sameAs Exhauzio-metodo.
• Method_of_exhaustion sameAs Méthode_d'exhaustion.
• Method_of_exhaustion sameAs Metodo_di_esaustione.
• Method_of_exhaustion sameAs 取り尽くし法.
• Method_of_exhaustion sameAs Uitputtingsmethode.
• Method_of_exhaustion sameAs Metoda_wyczerpywania.
• Method_of_exhaustion sameAs Método_da_exaustão.
• Method_of_exhaustion sameAs m.05r1sr.
• Method_of_exhaustion sameAs Q865019.
• Method_of_exhaustion sameAs Q865019.
• Method_of_exhaustion wasDerivedFrom Method_of_exhaustion?oldid=593997206.
• Method_of_exhaustion depiction Grégoire_de_Saint-Vincent_(1584-1667).jpg.
• Method_of_exhaustion isPrimaryTopicOf Method_of_exhaustion.