Enumerating Pythagorean triangles

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorRangel-Mondragon, Jaime-
Data de aceite: dc.date.accessioned2019-08-21T18:03:18Z-
Data de disponibilização: dc.date.available2019-08-21T18:03:18Z-
Data de envio: dc.date.issued2013-09-25-
Data de envio: dc.date.issued2013-09-25-
Data de envio: dc.date.issued2013-09-25-
Fonte completa do material: dc.identifierhttp://acervodigital.unesp.br/handle/unesp/70279-
Fonte completa do material: dc.identifierhttp://objetoseducacionais2.mec.gov.br/handle/mec/22857-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/462349-
Descrição: dc.descriptionEnsino Médio::Matemática-
Descrição: dc.descriptionThere is a one-to-one correspondence between positive rational numbers q less than 1 and points with positive rational coordinates (x,y) on the unit circle. This correspondence is achieved by joining the point (-1,0) with (0,q) and extending the line to intersect the unit circle at (x,y) as shown in this Demonstration. As any integral solution of the equation a² + b² = c² corresponding to a Pythagorean triangle can be put in the form (a/c)² + (b/c)²=1, we can associate Pythagorean triangles with points with positive rational coordinates on the unit circle. This Demonstration shows the n^th rational number and its associated n^th Pythagorean triangle. By varying n, can you find the only Pythagorean triangle with a side equal to 2009 that exists in the given range? Alas, the first rational with a part equal to 2009 is 30/2009 and it occurs at n=154876, too far out of our range n<1000-
Publicador: dc.publisherWolfram demonstrations project-
Relação: dc.relationEnumeratingPythagoreanTriangles.nbp-
Direitos: dc.rightsDemonstration freeware using MathematicaPlayer-
Palavras-chave: dc.subjectEducação Básica::Ensino Médio::Matemática::Geometria-
Palavras-chave: dc.subjectMatemática grega-
Título: dc.titleEnumerating Pythagorean triangles-
Aparece nas coleções:Repositório Institucional - Acervo Digital Unesp

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