Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Method_of_exhaustion> ?p ?o }
Showing triples 1 to 85 of
85
with 100 triples per page.
- 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 wikiPageLength "6221".
- Method_of_exhaustion wikiPageOutDegree "36".
- Method_of_exhaustion wikiPageRevisionID "702816660".
- Method_of_exhaustion wikiPageWikiLink Analytic_geometry.
- Method_of_exhaustion wikiPageWikiLink Antiphon_(orator).
- Method_of_exhaustion wikiPageWikiLink Archimedes.
- Method_of_exhaustion wikiPageWikiLink Area.
- Method_of_exhaustion wikiPageWikiLink Calculus.
- Method_of_exhaustion wikiPageWikiLink Category:Euclidean_geometry.
- Method_of_exhaustion wikiPageWikiLink Category:History_of_mathematics.
- Method_of_exhaustion wikiPageWikiLink Category:Integral_calculus.
- Method_of_exhaustion wikiPageWikiLink Category:Volume.
- Method_of_exhaustion wikiPageWikiLink Cavalieris_principle.
- Method_of_exhaustion wikiPageWikiLink Chinese_mathematics.
- Method_of_exhaustion wikiPageWikiLink Circle.
- Method_of_exhaustion wikiPageWikiLink Edge_(geometry).
- Method_of_exhaustion wikiPageWikiLink Euclid.
- Method_of_exhaustion wikiPageWikiLink Euclids_Elements.
- Method_of_exhaustion wikiPageWikiLink Eudoxus_of_Cnidus.
- Method_of_exhaustion wikiPageWikiLink Grégoire_de_Saint-Vincent.
- Method_of_exhaustion wikiPageWikiLink Infinitesimal.
- Method_of_exhaustion wikiPageWikiLink Inscribed_figure.
- Method_of_exhaustion wikiPageWikiLink Integral.
- Method_of_exhaustion wikiPageWikiLink Limit_(mathematics).
- Method_of_exhaustion wikiPageWikiLink Liu_Hui.
- Method_of_exhaustion wikiPageWikiLink Pi.
- Method_of_exhaustion wikiPageWikiLink Polygon.
- Method_of_exhaustion wikiPageWikiLink Proof_by_contradiction.
- Method_of_exhaustion wikiPageWikiLink Reductio_ad_absurdum.
- Method_of_exhaustion wikiPageWikiLink Shape.
- Method_of_exhaustion wikiPageWikiLink The_Method_of_Mechanical_Theorems.
- Method_of_exhaustion wikiPageWikiLink The_Quadrature_of_the_Parabola.
- Method_of_exhaustion wikiPageWikiLink Trapezoidal_rule.
- Method_of_exhaustion wikiPageWikiLink File:Archimedes_pi.svg.
- Method_of_exhaustion wikiPageWikiLink File:Grégoire_de_Saint-Vincent_(1584-1667).jpg.
- Method_of_exhaustion wikiPageWikiLinkText "Exhaustion, method of".
- Method_of_exhaustion wikiPageWikiLinkText "Method of exhaustion".
- Method_of_exhaustion wikiPageWikiLinkText "exhaustion".
- Method_of_exhaustion wikiPageWikiLinkText "exhaustions".
- Method_of_exhaustion wikiPageWikiLinkText "method of exhaustion".
- Method_of_exhaustion wikiPageWikiLinkText "method".
- Method_of_exhaustion wikiPageWikiLinkText "proved".
- Method_of_exhaustion wikiPageUsesTemplate Template:About.
- Method_of_exhaustion wikiPageUsesTemplate Template:Main.
- 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 hypernym Method.
- Method_of_exhaustion type Software.
- Method_of_exhaustion type Quantity.
- Method_of_exhaustion type Redirect.
- 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 "Method of exhaustion".
- Method_of_exhaustion sameAs Q865019.
- Method_of_exhaustion sameAs Exhaustionsmethode.
- Method_of_exhaustion sameAs طريقة_الاستنفاد.
- Method_of_exhaustion sameAs Mxc3xa8tode_dexhaustixc3xb3.
- Method_of_exhaustion sameAs Exhaustionsmethode.
- Method_of_exhaustion sameAs Método_exhaustivo.
- Method_of_exhaustion sameAs Exhauzio-metodo.
- Method_of_exhaustion sameAs روش_افنا.
- Method_of_exhaustion sameAs Mxc3xa9thode_dexhaustion.
- Method_of_exhaustion sameAs שיטת_המיצוי.
- 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 Ekshausjonsbevis.
- Method_of_exhaustion sameAs Metoda_wyczerpywania.
- Method_of_exhaustion sameAs Método_da_exaustão.
- Method_of_exhaustion sameAs m.05r1sr.
- Method_of_exhaustion sameAs Metoda_epuizării.
- Method_of_exhaustion sameAs Метод_исчерпывания.
- Method_of_exhaustion sameAs Metoda_ekshaustije.
- Method_of_exhaustion sameAs ระเบียบวิธีเกษียณ.
- Method_of_exhaustion sameAs Tüketme_yöntemi.
- Method_of_exhaustion sameAs Метод_вичерпування.
- Method_of_exhaustion sameAs Q865019.
- Method_of_exhaustion sameAs 穷举法.
- Method_of_exhaustion wasDerivedFrom Method_of_exhaustion?oldid=702816660.
- Method_of_exhaustion depiction Grégoire_de_Saint-Vincent_(1584-1667).jpg.
- Method_of_exhaustion isPrimaryTopicOf Method_of_exhaustion.