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<http://dbpedia.org/resource/John_Wallis>	<http://dbpedia.org/ontology/abstract>	"John Wallis (Ashford, 22 november 1616 - Oxford, 28 oktober 1703) was een Engelse wiskundige. Wallis werd in 1616 geboren als zoon van John Wallis, een dominee uit Ashford, en diens tweede vrouw Joanna Chapman. Op 13-jarige leeftijd vond de jonge Wallis zichzelf rijp voor de universiteit; hij studeerde aan de Universiteit van Cambridge. In zijn jeugd kwam John Wallis niet in aanraking met wiskunde, aangezien dat in die tijd als onbelangrijk beschouwd werd en niet gegeven werd op goede scholen. Wel behaalde hij goede resultaten voor de vakken Grieks, Latijn en Hebreeuws. Pas in 1631 leerde Wallis van zijn broer de beginselen van de wiskunde, en begon hij als hobby wiskundeboeken te lezen. Ondertussen studeerde hij door in allerlei vakken, zoals anatomie en sterrenkunde. Wallis werd aalmoezenier, maar bleef doorstuderen. Wallis was goed in cryptografie, en ontcijferde in tijden van oorlog verschillende gecodeerde boodschappen. Dit was het begin van zijn wiskundige carri\u00E8re. Wallis verliet de kerk omdat hij trouwde, en werd hoogleraar in Oxford. Hier kwam hij in aanraking met een regelmatig bij elkaar komende groep wetenschappers, die later het Royal Society zouden vormen, en begon hij serieuze interesse in de wiskunde te krijgen. Wallis schreef boeken en deed ontdekkingen op wiskundig gebied. Ook bestudeerde hij het werk van verscheidene wiskundigen, onder wie Kepler, Cavalieri, Roberval, Torricelli en Descartes. Wallis' bekendste werk was Arithmetica infinitorum, dat hij in 1656 publiceerde. Hierin liet hij zien hoe algebra\u00EFsche methoden konden worden toegepast in meetkundige situaties (in navolging van Descartes), zoals het berekenen van de oppervlakte van gebieden die door krommen werden begrensd. Hij deed voorbereidend werk in de differentiaal- en integraalrekening. Met behulp van patronen in eindige processen zocht hij formules voor oneindige processen. Hij was een voorbeeld voor vele wiskundigen, zoals Newton, die voortbouwde op Wallis' differentiaal- en integraalrekening. Ook bewijst hij in het boek de formule: Dit wordt het Wallis-product genoemd. In \"Tract on Conic Sections\" (1655) beschrijft hij de krommen die ontstaan als je een kegel met een vlak doorsnijdt (de kegelsneden) als eigenschappen van algebra\u00EFsche co\u00F6rdinaten. Ook ontwikkelde hij nieuwe technieken in de stijl van Descartes op analytisch gebied. Ook was hij de eerste die het symbool gebruikte. Dit symbool staat voor oneindig. Hij gebruikte het symbool ook in zijn product. In 1665 ontvangt Wallis van Christiaan Huygens een brief over zijn analyse van meetkundige krommen. Tevens legt Huygens kort uit wat zijn werk met de telescoop inhoudt en geeft in een anagram weer dat hij een belangrijke ontdekking heeft gedaan. Het anagram luidt: admovere oculis distantia sidera nostris vvvvvvvvcc crrhnbqx(Ze brachten de verre sterren naar onze ogen) In de juiste volgorde staat hier: Saturno luna sua circumducitur diebus sexdecim horis quatuor(Om Saturnus loopt zijn maan in zestien dagen en vier uur.) In \"Treatise on algebra\" (1688) verklaart hij het werk van Harriot, en maakt het toegankelijker. Hij bekritiseert Descartes, en beweert dat zijn kennis van algebra geheel aan Harriot te danken is. Ook werkt hij met negatieve en complexe getallen. Hierbij laat hij zien dat exact drie geheeltallige uitkomsten heeft. Verder gaf Wallis boeken uit van onder anderen de Griekse wiskundigen Ptolemeus, Aristarchus en Archimedes. Hij schreef ook verscheidene niet-wiskundige boeken, die over religie, grammatica en logica gaan. Wallis heeft veel gedaan voor de wiskunde, vooral op het gebied van de algebra. Hij heeft een formule voor de cosinus en de sinus bedacht. Hij probeerde een bewijs te vinden voor het parallellenpostulaat van Euclides met behulp van de andere 4 postulaten, maar dit is hem nooit gelukt. Pas in de 19e eeuw bleek dat dit onmogelijk is. Ook heeft Wallis veel gedaan met betrekking tot regeloppervlakken waaronder de ontwikkeling van de Wig van Wallis Wallis had veel aanhangers, maar ook tegenstanders zoals Thomas Hobbes, met wie hij een levenslang meningsverschil had. John Wallis overleed in 1703."@nl .
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<http://dbpedia.org/resource/John_Wallis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"John Wallis (23 November 1616 \u2013 28 Oktober 1703) adalah matematikawan Inggris yang berperan dalam perkembangan kalkulus. Ia juga menciptakan simbol \u221E untuk bilangan tak terhingga. Asteroid dinamai dari namanya. John Brehaut Wallis lahir di , anak ketiga dari Reverend John Wallis dan Joanna Chapman."@in .
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<http://dbpedia.org/resource/John_Wallis>	<http://dbpedia.org/ontology/abstract>	"John Wallis (Ashford, Kent, 22 de novembro de 1616 \u2014 Oxford, 28 de outubro de 1703) foi um matem\u00E1tico brit\u00E2nico cujos trabalhos sobre o c\u00E1lculo foram precursores aos de Isaac Newton. Algumas fontes indicam seu nascimento em 23 de novembro ou 3 de dezembro de 1616, e sua morte em 8 de novembro de 1703. John Wallis frequentou a escola em Ashford, mudando-se depois para Tenterden, onde mostrou o seu grande potencial como aluno. Em 1630 foi para Felsted, onde se tornou perito em latim, grego e hebraico. Da\u00ED foi para o Col\u00E9gio Emmanual (em Cambridge), onde se interessou por Matem\u00E1tica. Como ningu\u00E9m, em Cambridge, podia orientar os seus estudos matem\u00E1ticos, o seu principal t\u00F3pico de estudo tornou-se a divindade (Teologia), tendo sido ordenado em 1640. Wallis foi perito em criptografia e descodificou mensagens durante a Guerra Civil. Wallis manteve-se na C\u00E1tedra Saviliana de Geometria em Oxford durante mais de 50 anos, at\u00E9 a sua morte. Foi um membro fundador da Royal Society. Wallis contribuiu substancialmente para a origem do c\u00E1lculo e foi o matem\u00E1tico ingl\u00EAs mais influente antes de Newton. Estudou os trabalhos de Johannes Kepler, Bonaventura Cavalieri, Gilles de Roberval, Evangelista Torricelli e Ren\u00E9 Descartes. Em Arithmetica Infinitorum (1656), Wallis calculou a integral de entre 0 e 1 para valores integr\u00E1veis de n, baseado no m\u00E9todo de Cavalieri. Inventou um m\u00E9todo de interpola\u00E7\u00E3o numa tentativa de calcular a integral de entre 0 e 1. Usando o conceito de continuidade de Kepler, descobriu um m\u00E9todo para calcular integrais que foi mais tarde utilizado por Newton no Teorema binomial. Em Tract on Conic Sections (1656), Wallis descreveu as curvas que s\u00E3o obtidas pela intersec\u00E7\u00E3o de um plano com um cone (c\u00F3nicas), como propriedades das coordenadas alg\u00E9bricas. Os m\u00E9todos seguidos eram semelhantes ao tratamento anal\u00EDtico de Descartes. Wallis foi tamb\u00E9m um historiador da matem\u00E1tica. O seu livro Treatise on Algebra tem uma enorme riqueza hist\u00F3rica. Neste livro, aceita ra\u00EDzes negativas e ra\u00EDzes complexas, mostrando que tem exactamente tr\u00EAs ra\u00EDzes, todas elas reais."@pt .
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<http://dbpedia.org/resource/John_Wallis>	<http://dbpedia.org/property/knownFor>	"Coining the term \"momentum\""@en .
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<http://dbpedia.org/resource/John_Wallis>	<http://www.w3.org/2000/01/rdf-schema#label>	"John Wallis"@cs .
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<http://dbpedia.org/resource/John_Wallis>	<http://dbpedia.org/property/workInstitutions>	""@en .
<http://dbpedia.org/resource/John_Wallis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://be.dbpedia.org/resource/\u0414\u0436\u043E\u043D_\u0412\u0430\u043B\u0456\u0441> .
<http://dbpedia.org/resource/John_Wallis>	<http://dbpedia.org/ontology/abstract>	"\u0414\u0436\u043E\u043D \u0412\u0430\u0301\u043B\u043B\u0438\u0441 (\u0432 \u0447\u0430\u0441\u0442\u0438 \u0438\u0441\u0442\u043E\u0447\u043D\u0438\u043A\u043E\u0432 \u2014 \u0423\u043E\u0301\u043B\u043B\u0438\u0441, \u0430\u043D\u0433\u043B. John Wallis; 23 \u043D\u043E\u044F\u0431\u0440\u044F (3 \u0434\u0435\u043A\u0430\u0431\u0440\u044F) 1616 \u2014 28 \u043E\u043A\u0442\u044F\u0431\u0440\u044F (8 \u043D\u043E\u044F\u0431\u0440\u044F) 1703) \u2014 \u0430\u043D\u0433\u043B\u0438\u0439\u0441\u043A\u0438\u0439 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A, \u043E\u0434\u0438\u043D \u0438\u0437 \u043F\u0440\u0435\u0434\u0448\u0435\u0441\u0442\u0432\u0435\u043D\u043D\u0438\u043A\u043E\u0432 \u0441\u043E\u0437\u0434\u0430\u0442\u0435\u043B\u0435\u0439 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u043E\u0433\u043E \u0430\u043D\u0430\u043B\u0438\u0437\u0430."@ru .
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<http://dbpedia.org/resource/John_Wallis>	<http://dbpedia.org/ontology/abstract>	"Ingeles matematikaria zen (Ashford, 1616 - Oxford, 1703). Cambridgen egin zituen ikasketak. 1640an apaiz egin zen, eta 1649an Oxfordeko geometria-irakasle izendatu zuten. Zirkuluaren koadraturari buruzko azterketak egin zituen. Berak asmatua da infinitua irudikatzeko sinboloa (\u221E). Arithmetica infinitorum, Wallisen lanik garrantzitsuena, 1656an argitaratu zen. Tratatu horretan Descartesen eta Cavalieriren analisi-metodoak sistematizatu eta hedatu egin zituen. Wallisek ekarpen esanguratsuak egin zizkion trigonometriari, kalkuluari, geometriari, eta serie infinituen analisiari. Opera Mathematica I (1695) lanean, frakzio jarraitua terminoa sartu zuen. Beste lan batzuk ere idatzi zituen: His Institutio logicae, 1687an argitaratua, oso ospetsua izan zen. The Grammatica linguae Anglicanae ingelesaren gramatikari buruzko lana zen. Teologia-gaiez ere argitaratu zuen."@eu .
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<http://dbpedia.org/resource/John_Wallis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u0414\u0436\u043E\u043D \u0412\u0430\u043B\u043B\u0456\u0441, \u0442\u043E\u0447\u043D\u0456\u0448\u0435 \u2014 \u0412\u043E\u043B\u043B\u0456\u0441 (\u0430\u043D\u0433\u043B. John Wallis; 23 \u043B\u0438\u0441\u0442\u043E\u043F\u0430\u0434\u0430 (3 \u0433\u0440\u0443\u0434\u043D\u044F) 1616 \u2014 28 \u0436\u043E\u0432\u0442\u043D\u044F (8 \u043B\u0438\u0441\u0442\u043E\u043F\u0430\u0434\u0430) 1703) \u2014 \u0430\u043D\u0433\u043B\u0456\u0439\u0441\u044C\u043A\u0438\u0439 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A XVII \u0441\u0442\u043E\u043B\u0456\u0442\u0442\u044F, \u043E\u0434\u0438\u043D \u0437 \u043F\u043E\u043F\u0435\u0440\u0435\u0434\u043D\u0438\u043A\u0456\u0432 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u0433\u043E \u0430\u043D\u0430\u043B\u0456\u0437\u0443. \u041C\u0456\u0436 1643 \u0456 1689 \u0432\u0456\u043D \u0441\u043B\u0443\u0436\u0438\u0432 \u0433\u043E\u043B\u043E\u0432\u043D\u0438\u043C \u043A\u0440\u0438\u043F\u0442\u043E\u0433\u0440\u0430\u0444\u043E\u043C \u0443 \u043F\u0430\u0440\u043B\u0430\u043C\u0435\u043D\u0442\u0456, \u0430 \u043F\u043E\u0442\u0456\u043C \u0456 \u043F\u0440\u0438 \u043A\u043E\u0440\u043E\u043B\u0456\u0432\u0441\u044C\u043A\u043E\u043C\u0443 \u0434\u0432\u043E\u0440\u0456. \u0419\u043E\u043C\u0443 \u0442\u0430\u043A\u043E\u0436 \u043F\u0440\u0438\u043F\u0438\u0441\u0443\u044E\u0442\u044C \u0432\u0432\u0435\u0434\u0435\u043D\u043D\u044F \u0441\u0438\u043C\u0432\u043E\u043B\u0443 \u221E \u043D\u0435\u0441\u043A\u0456\u043D\u0447\u0435\u043D\u043D\u043E\u0441\u0442\u0456. \u0412\u0456\u043D \u0442\u0430\u043A \u0441\u0430\u043C\u043E \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0432 1 / \u221E \u0434\u043B\u044F \u043D\u0435\u0441\u043A\u0456\u043D\u0447\u0435\u043D\u043D\u043E \u043C\u0430\u043B\u043E\u0457 \u0432\u0435\u043B\u0438\u0447\u0438\u043D\u0438."@uk .
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<http://dbpedia.org/resource/John_Wallis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"John Wallis (/\u02C8w\u0252l\u026As/; Latin: Wallisius; 3 December [O.S. 23 November] 1616 \u2013 8 November [O.S. 28 October] 1703) was an English clergyman and mathematician who is given partial credit for the development of infinitesimal calculus. Between 1643 and 1689 he served as chief cryptographer for Parliament and, later, the royal court. He is credited with introducing the symbol \u221E to represent the concept of infinity. He similarly used 1/\u221E for an infinitesimal. John Wallis was a contemporary of Newton and one of the greatest intellectuals of the early renaissance of mathematics."@en .
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<http://dbpedia.org/resource/John_Wallis>	<http://dbpedia.org/ontology/abstract>	"John Wallis (23. listopadu 1616 \u2013 28. \u0159\u00EDjna 1703) byl anglick\u00FD matematik, kter\u00FD se pod\u00EDlel na v\u00FDvoji infinitezim\u00E1ln\u00EDho po\u010Dtu. Mezi roky 1643 a 1689 pracoval jako kryptograf pro parlament Spojen\u00E9ho kr\u00E1lovstv\u00ED a pozd\u011Bji pro kr\u00E1lovsk\u00FD dv\u016Fr. Tak\u00E9 zavedl symbol \u221E pro nekone\u010Dno. Byl po n\u011Bm pojmenov\u00E1n asteroid 31982 Johnwallis."@cs .
<http://dbpedia.org/resource/John_Wallis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Ingeles matematikaria zen (Ashford, 1616 - Oxford, 1703). Cambridgen egin zituen ikasketak. 1640an apaiz egin zen, eta 1649an Oxfordeko geometria-irakasle izendatu zuten. Zirkuluaren koadraturari buruzko azterketak egin zituen. Berak asmatua da infinitua irudikatzeko sinboloa (\u221E). Arithmetica infinitorum, Wallisen lanik garrantzitsuena, 1656an argitaratu zen. Tratatu horretan Descartesen eta Cavalieriren analisi-metodoak sistematizatu eta hedatu egin zituen."@eu .
<http://dbpedia.org/resource/John_Wallis>	<http://dbpedia.org/ontology/abstract>	"John Wallis, n\u00E9 le 23 novembre 1616 \u00E0 Ashford, et mort le 28 octobre 1703 \u00E0 Oxford, est un math\u00E9maticien anglais. Ses travaux sont pr\u00E9curseurs de ceux de Newton. Il est \u00E9galement pr\u00E9curseur de la phon\u00E9tique, de l'\u00E9ducation des sourds et de l'orthophonie."@fr .
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<http://dbpedia.org/resource/John_Wallis>	<http://dbpedia.org/ontology/abstract>	"John Wallis (Ashford, 23 de noviembre de 1616 - Oxford, 28 de octubre de 1703)\u200B fue un matem\u00E1tico ingl\u00E9s a quien se atribuye en parte el desarrollo del c\u00E1lculo moderno. Fue un precursor del c\u00E1lculo infinitesimal (introdujo la utilizaci\u00F3n del s\u00EDmbolo para representar la noci\u00F3n de infinito). Entre 1643 y 1689 fue cript\u00F3grafo del Parlamento y posteriormente de la Corte real. Fue tambi\u00E9n uno de los fundadores de la Royal Society y profesor en la Universidad de Oxford."@es .
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<http://dbpedia.org/resource/John_Wallis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"John Wallis, f\u00F6dd 23 november 1616 i Ashford Kent, d\u00F6d 28 oktober 1703, var en engelsk matematiker som anses vara en av grundarna till infinitesimalkalkylen. Han inf\u00F6rde symbolen \u221E f\u00F6r o\u00E4ndligheten och har f\u00E5tt asteroiden uppkallad efter sig."@sv .
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<http://dbpedia.org/resource/John_Wallis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"John Wallis (Ashford, 23 novembre 1616 \u2013 Oxford, 28 ottobre 1703) \u00E8 stato un presbitero e matematico inglese. Wallis ha contribuito allo sviluppo del calcolo infinitesimale. Tra il 1643 e il 1689 \u00E8 stato capo crittografo del Parlamento del Regno Unito e successivamente della corte reale. A lui si attribuisce anche l'introduzione del simbolo \u221E che denota il concetto matematico di infinito."@it .
<http://dbpedia.org/resource/John_Wallis>	<http://dbpedia.org/ontology/abstract>	"John Wallis (23 November 1616 \u2013 28 Oktober 1703) adalah matematikawan Inggris yang berperan dalam perkembangan kalkulus. Ia juga menciptakan simbol \u221E untuk bilangan tak terhingga. Asteroid dinamai dari namanya. John Brehaut Wallis lahir di , anak ketiga dari Reverend John Wallis dan Joanna Chapman."@in .
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<http://dbpedia.org/resource/John_Wallis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"John Wallis (* 23. Novemberjul. / 3. Dezember 1616greg. in Ashford, Kent; \u2020 28. Oktoberjul. / 8. November 1703greg. in Oxford) war ein englischer Mathematiker, der Beitr\u00E4ge zur Infinitesimalrechnung und zur Berechnung der Kreiszahl leistete."@de .
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<http://dbpedia.org/resource/John_Wallis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"John Wallis (Ashford, 23 de noviembre de 1616 - Oxford, 28 de octubre de 1703)\u200B fue un matem\u00E1tico ingl\u00E9s a quien se atribuye en parte el desarrollo del c\u00E1lculo moderno. Fue un precursor del c\u00E1lculo infinitesimal (introdujo la utilizaci\u00F3n del s\u00EDmbolo para representar la noci\u00F3n de infinito). Entre 1643 y 1689 fue cript\u00F3grafo del Parlamento y posteriormente de la Corte real. Fue tambi\u00E9n uno de los fundadores de la Royal Society y profesor en la Universidad de Oxford."@es .
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<http://dbpedia.org/resource/John_Wallis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u7D04\u7FF0\u00B7\u6C83\u5229\u65AF\uFF08\u82F1\u8A9E\uFF1AJohn Wallis\uFF0C1616\u5E7411\u670823\u65E5\uFF0D1703\u5E7410\u670828\u65E5\uFF09\u662F\u4E00\u540D\u82F1\u570B\u6578\u5B78\u5BB6\uFF0C\u5C0D\u73FE\u4EE3\u5FAE\u7A4D\u5206\u7684\u767C\u5C55\u6709\u6240\u8CA2\u737B\u3002 \u7D04\u7FF0\u00B7\u6C83\u5229\u65AF\u7684\u7236\u89AA\u662F\u963F\u4EC0\u798F\u5FB7\u7684\u540D\u4EBA\uFF0C\u5F88\u53D7\u5C0A\u656C\u3002\u53EF\u60DC\u4ED6\u5728\u6C83\u5229\u65AF\u516D\u6B72\u6642\u4FBF\u901D\u4E16\u30021625\u5E74\u4ED6\u9032\u5165James Movat's grammar school\u3002\u5B78\u6821\u6C92\u6709\u6559\u6388\u6578\u5B78\u30021631\u5E74\u7684\u8056\u8A95\u5047\u671F\uFF0C\u6C83\u5229\u65AF\u7684\u5144\u9577\u6559\u4ED6\u7B97\u8853\uFF0C\u6C83\u5229\u65AF\u9996\u6B21\u548C\u6578\u5B78\u63A5\u89F8\uFF0C\u6578\u5B78\u5F9E\u6B64\u6210\u70BA\u4E86\u5176\u611B\u597D\u30021632\u5E74\u4ED6\u9032\u5165\u5251\u6865\u5927\u5B66\u57C3\u9A6C\u52AA\u5C14\u5B66\u9662\u3002\u7576\u6642\u6C92\u6709\u4EBA\u80FD\u6307\u5F15\u4ED6\u7684\u6578\u5B78\u5B78\u7FD2\uFF0C\u4ED6\u4FBF\u8B80\u4E86\u5F88\u591A\u4E0D\u540C\u7684\u8AB2\u7A0B\uFF0C\u5305\u62EC\u502B\u7406\u5B78\u3001\u5F62\u800C\u4E0A\u5B78\u3001\u5730\u7406\u3001\u5929\u6587\u3001\u91AB\u5B78\u548C\u89E3\u5256\u5B78\u3002\u4ED6\u66FE\u8FAF\u5012\u5176\u8001\u5E2BFrancis Glisson\u7684\u8840\u6DB2\u5FAA\u74B0\u9769\u547D\u7406\u8AD6\u3002 1637\u5E74\u7372\u6587\u5B78\u58EB\u5B78\u4F4D\u30021640\u5E74\u7372\u78A9\u58EB\u5B78\u4F4D\u30021644\u5E74\u6210\u70BA\u897F\u654F\u795E\u8077\u4EBA\u54E1\u7684\u79D8\u66F8\u30021660\u5E74\uFF0C\u7687\u5BB6\u5B78\u6703\u6210\u7ACB\uFF0C\u4ED6\u662F\u5275\u7ACB\u4EBA\u4E4B\u4E00\u3002 \u4ED6\u5BEB\u4E86\u4E0D\u5C11\u5B97\u6559\u6587\u7AE0\u3001\u4E00\u672C\u95DC\u65BC\u795E\u79D8\u5B78\u7684\u66F8\u3001\u8A9E\u6CD5\u66F8Grammatica linguae Anglicanae\uFF08\u725B\u6D25\uFF0C1653\u5E74\uFF09\u548C\u908F\u8F2F\u5B78\u66F8\u7C4DInstitutio logicae \uFF08\u725B\u6D25\uFF0C1687\u5E74\uFF09\u3002"@zh .
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