<http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/date> "July 2021"@en . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/pages> "102"^^<http://www.w3.org/2001/XMLSchema#integer> . <http://dbpedia.org/resource/Porism> <http://xmlns.com/foaf/0.1/topic> <http://dbpedia.org/resource/List_of_Greek_and_Latin_roots_in_English/P> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Philology> . <http://dbpedia.org/resource/Porism> <http://xmlns.com/foaf/0.1/topic> <http://dbpedia.org/resource/Lost_literary_work> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/volume> "24"^^<http://www.w3.org/2001/XMLSchema#integer> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/John_Playfair> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/wikiPageUsesTemplate> <http://dbpedia.org/resource/Template:ISBN> . <http://dbpedia.org/resource/Porism> <http://purl.org/linguistics/gold/hypernym> <http://dbpedia.org/resource/Proposition> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Mathematical_proof> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Corollary> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Pforta> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Cambridge_University_Press> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2002/07/owl#sameAs> <http://www.wikidata.org/entity/Q7230113> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/wikiPageUsesTemplate> <http://dbpedia.org/resource/Template:EB1911> . <http://dbpedia.org/resource/Porism> <http://xmlns.com/foaf/0.1/topic> <http://dbpedia.org/resource/Lemma_(mathematics)> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2002/07/owl#sameAs> <http://io.dbpedia.org/resource/Porismo> . <http://dbpedia.org/resource/Porism> <http://xmlns.com/foaf/0.1/topic> <http://dbpedia.org/resource/Glossary_of_classical_algebraic_geometry> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2007/05/powder-s#describedby> <http://localhost:8890/about/id/entity/http/dbpedia.org/resource/Category:Mathematical_terminology> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2007/05/powder-s#describedby> <https://covidontheweb.inria.fr:4443/about/id/entity/http/dbpedia.org/resource/Category:Mathematical_terminology> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Robert_Simson> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Frans_van_Schooten> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2007/05/powder-s#describedby> <https://covidontheweb.inria.fr:4443/about/id/entity/http/dbpedia.org/resource/Pappus_of_Alexandria> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/abstract> "A porism is a mathematical proposition or corollary. It has been used to refer to a direct consequence of a proof, analogous to how a corollary refers to a direct consequence of a theorem. In modern usage, it is a relationship that holds for an infinite range of values but only if a certain condition is assumed, such as Steiner's porism. The term originates from three books of Euclid that have been lost. A proposition may not have been proven, so a porism may not be a theorem or true."@en . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2002/07/owl#sameAs> <https://global.dbpedia.org/id/4u8jE> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Schlomilch> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageExternalLink> <https://archive.org/details/elementarytreati00milnuoft/page/11> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Lemma_(mathematics)> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2002/07/owl#sameAs> <http://rdf.freebase.com/ns/m.05nf_d> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/first> "Thomas Little"@en . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageLength> "10347"^^<http://www.w3.org/2001/XMLSchema#nonNegativeInteger> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2007/05/powder-s#describedby> <https://covidontheweb.inria.fr:4443/about/id/entity/http/dbpedia.org/resource/Th._Leidenfrost> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Poncelet\u0027s_porism> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/wikiPageUsesTemplate> <http://dbpedia.org/resource/Template:Clarify> . <http://dbpedia.org/resource/Porism> <http://xmlns.com/foaf/0.1/topic> <http://dbpedia.org/resource/Euclid> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/M._Cantor> . <http://dbpedia.org/resource/Porism> <http://xmlns.com/foaf/0.1/topic> <http://en.wikipedia.org/wiki/Porism> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/wikiPageUsesTemplate> <http://dbpedia.org/resource/Template:Fraction> . <http://dbpedia.org/resource/Porism> <http://xmlns.com/foaf/0.1/topic> <http://dbpedia.org/resource/Porism#this> . <http://dbpedia.org/resource/Porism> <http://xmlns.com/foaf/0.1/topic> <http://dbpedia.org/resource/Benjamin_Gompertz> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2000/01/rdf-schema#comment> "A porism is a mathematical proposition or corollary. It has been used to refer to a direct consequence of a proof, analogous to how a corollary refers to a direct consequence of a theorem. In modern usage, it is a relationship that holds for an infinite range of values but only if a certain condition is assumed, such as Steiner's porism. The term originates from three books of Euclid that have been lost. A proposition may not have been proven, so a porism may not be a theorem or true."@en . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/wikiPageUsesTemplate> <http://dbpedia.org/resource/Template:Sfn> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Hyeronimus_Georg_Zeuthen> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Joseph_Liouville> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2007/05/powder-s#describedby> <https://covidontheweb.inria.fr:4443/about/id/entity/http/dbpedia.org/resource/Springer-Verlag> . <http://dbpedia.org/resource/Porism> <http://xmlns.com/foaf/0.1/topic> <http://dbpedia.org/resource/Pappus_of_Alexandria> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/wikiPageUsesTemplate> <http://dbpedia.org/resource/Template:Wiktionary> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/last> "Heath"@en . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Euclid> . <http://dbpedia.org/resource/Porism> <http://xmlns.com/foaf/0.1/topic> <http://dbpedia.org/resource/Robert_Simson> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/ns/prov#wasDerivedFrom> <http://en.wikipedia.org/wiki/Porism?oldid=1091380052&ns=0> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2000/01/rdf-schema#label> "Porisma"@es . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Steiner\u0027s_porism> . <http://dbpedia.org/resource/Porism> <http://xmlns.com/foaf/0.1/isPrimaryTopicOf> <http://en.wikipedia.org/wiki/Porism> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2007/05/powder-s#describedby> <https://covidontheweb.inria.fr:4443/about/id/entity/http/dbpedia.org/resource/Template:Wiktionary> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageID> "1687416"^^<http://www.w3.org/2001/XMLSchema#integer> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/wikiPageUsesTemplate> <http://dbpedia.org/resource/Template:Short_description> . <http://dbpedia.org/resource/Porism> <http://xmlns.com/foaf/0.1/topic> <http://dbpedia.org/resource/Corollary> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Proposition> . <http://dbpedia.org/resource/Porism> <http://xmlns.com/foaf/0.1/topic> <http://dbpedia.org/resource/Steiner_chain> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2000/01/rdf-schema#comment> "Un porisma (tambi\u00E9n se puede escribir como porismo, del griego \"\u03C0\u03CC\u03C1\u03B9\u03C3\u03BC\u03B1\" -porism\u00E1- con el significado de expediente, conclusi\u00F3n o corolario)\u200B es una proposici\u00F3n matem\u00E1tica o corolario. En particular, el t\u00E9rmino \"porisma\" se ha utilizado para referirse a un resultado directo de una prueba, an\u00E1logamente a como se hace con un corolario en referencia a un resultado directo de un teorema. En el uso moderno, un \"porisma\" es una relaci\u00F3n que se mantiene para un rango infinito de valores, pero solo si se asume una determinada condici\u00F3n, como por ejemplo en el caso de la Cadena de Steiner.\u200B"@es . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Steiner_chain> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/wikiPageUsesTemplate> <http://dbpedia.org/resource/Template:Technical> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Springer-Verlag> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Johan_Ludvig_Heiberg_(historian)> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2007/05/powder-s#describedby> <https://covidontheweb.inria.fr:4443/about/id/entity/http/dbpedia.org/resource/M._Cantor> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2007/05/powder-s#describedby> <https://covidontheweb.inria.fr:4443/about/id/entity/http/dbpedia.org/resource/Corollary> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Michel_Chasles> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/authorLink> "Thomas Heath"@en . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageRevisionID> "1091380052"^^<http://www.w3.org/2001/XMLSchema#integer> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/wstitle> "Porism"@en . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2000/01/rdf-schema#label> "Porism"@en . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/reason> "Please provide an English translation."@en . <http://dbpedia.org/resource/Porism> <http://xmlns.com/foaf/0.1/topic> <http://dbpedia.org/resource/Porisms> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Pappus_of_Alexandria> . <http://dbpedia.org/resource/Porism> <http://purl.org/dc/terms/subject> <http://dbpedia.org/resource/Category:Mathematical_terminology> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Theorem> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2007/05/powder-s#describedby> <https://covidontheweb.inria.fr:4443/about/id/entity/http/dbpedia.org/resource/John_Playfair> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Fr._Buch-binder> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Th._Leidenfrost> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/wikiPageWikiLink> <http://dbpedia.org/resource/Category:Mathematical_terminology> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/property/wikiPageUsesTemplate> <http://dbpedia.org/resource/Template:Reflist> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2002/07/owl#sameAs> <http://es.dbpedia.org/resource/Porisma> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2002/07/owl#sameAs> <http://dbpedia.org/resource/Porism> . <http://dbpedia.org/resource/Porism> <http://www.w3.org/2007/05/powder-s#describedby> <https://covidontheweb.inria.fr:4443/about/id/entity/http/dbpedia.org/resource/Template:Fraction> . <http://dbpedia.org/resource/Porism> <http://dbpedia.org/ontology/abstract> "Un porisma (tambi\u00E9n se puede escribir como porismo, del griego \"\u03C0\u03CC\u03C1\u03B9\u03C3\u03BC\u03B1\" -porism\u00E1- con el significado de expediente, conclusi\u00F3n o corolario)\u200B es una proposici\u00F3n matem\u00E1tica o corolario. En particular, el t\u00E9rmino \"porisma\" se ha utilizado para referirse a un resultado directo de una prueba, an\u00E1logamente a como se hace con un corolario en referencia a un resultado directo de un teorema. En el uso moderno, un \"porisma\" es una relaci\u00F3n que se mantiene para un rango infinito de valores, pero solo si se asume una determinada condici\u00F3n, como por ejemplo en el caso de la Cadena de Steiner.\u200B El t\u00E9rmino proviene de tres libros de Euclides conteniendo porismas,\u200B que se han perdido. Debe tenerse en cuenta que una proposici\u00F3n puede no haber sido probada, por lo que un porisma puede no ser un teorema, o llegado el caso, incluso puede no ser cierto."@es .