Uma Heurí­stica Platônica para Termos Pitagóricos

Detalhes bibliográficos
Autor(a) principal: Fossa, John A.
Data de Publicação: 2010
Outros Autores: Erickson, Glenn W.
Tipo de documento: Artigo
Idioma: por
Título da fonte: Princípios (Natal. Online)
Texto Completo: https://periodicos.ufrn.br/principios/article/view/699
Resumo:  In The Republic, Plato presents the analogy of the divided line in order to unify his ontological, epistemological and cosmological doctrine. It is rarely noted, however, that the divided line has mathematical applications. In this paper, we explore the relationship ofthe divided line to the problem ofderiving Pythagorean triples, that is, sets of three integers that serve as the sides of Pythagorean triangles. We also note the significance of this application within a broader context.
id UFRN-5_8974ae80c91a66cd8304af5a1508d8fe
oai_identifier_str oai:periodicos.ufrn.br:article/699
network_acronym_str UFRN-5
network_name_str Princípios (Natal. Online)
repository_id_str
spelling Uma Heurí­stica Platônica para Termos Pitagóricos In The Republic, Plato presents the analogy of the divided line in order to unify his ontological, epistemological and cosmological doctrine. It is rarely noted, however, that the divided line has mathematical applications. In this paper, we explore the relationship ofthe divided line to the problem ofderiving Pythagorean triples, that is, sets of three integers that serve as the sides of Pythagorean triangles. We also note the significance of this application within a broader context. EDUFRN2010-10-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionAvaliado pelos paresapplication/pdfhttps://periodicos.ufrn.br/principios/article/view/699Princípios: Revista de Filosofia (UFRN); v. 4 n. 05 (1997): Princípios: revista de filosofia; 147-1581983-21090104-8694reponame:Princípios (Natal. Online)instname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNporhttps://periodicos.ufrn.br/principios/article/view/699/642Copyright (c) 2014 Princípios: Revista de Filosofia (UFRN)info:eu-repo/semantics/openAccessFossa, John A.Erickson, Glenn W.2016-12-16T16:48:03Zoai:periodicos.ufrn.br:article/699Revistahttps://periodicos.ufrn.br/principiosPUBhttps://periodicos.ufrn.br/principios/oai||principios@cchla.ufrn.br1983-21090104-8694opendoar:2016-12-16T16:48:03Princípios (Natal. Online) - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.none.fl_str_mv Uma Heurí­stica Platônica para Termos Pitagóricos
title Uma Heurí­stica Platônica para Termos Pitagóricos
spellingShingle Uma Heurí­stica Platônica para Termos Pitagóricos
Fossa, John A.
title_short Uma Heurí­stica Platônica para Termos Pitagóricos
title_full Uma Heurí­stica Platônica para Termos Pitagóricos
title_fullStr Uma Heurí­stica Platônica para Termos Pitagóricos
title_full_unstemmed Uma Heurí­stica Platônica para Termos Pitagóricos
title_sort Uma Heurí­stica Platônica para Termos Pitagóricos
author Fossa, John A.
author_facet Fossa, John A.
Erickson, Glenn W.
author_role author
author2 Erickson, Glenn W.
author2_role author
dc.contributor.author.fl_str_mv Fossa, John A.
Erickson, Glenn W.
description  In The Republic, Plato presents the analogy of the divided line in order to unify his ontological, epistemological and cosmological doctrine. It is rarely noted, however, that the divided line has mathematical applications. In this paper, we explore the relationship ofthe divided line to the problem ofderiving Pythagorean triples, that is, sets of three integers that serve as the sides of Pythagorean triangles. We also note the significance of this application within a broader context.
publishDate 2010
dc.date.none.fl_str_mv 2010-10-04
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Avaliado pelos pares
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ufrn.br/principios/article/view/699
url https://periodicos.ufrn.br/principios/article/view/699
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.ufrn.br/principios/article/view/699/642
dc.rights.driver.fl_str_mv Copyright (c) 2014 Princípios: Revista de Filosofia (UFRN)
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2014 Princípios: Revista de Filosofia (UFRN)
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv EDUFRN
publisher.none.fl_str_mv EDUFRN
dc.source.none.fl_str_mv Princípios: Revista de Filosofia (UFRN); v. 4 n. 05 (1997): Princípios: revista de filosofia; 147-158
1983-2109
0104-8694
reponame:Princípios (Natal. Online)
instname:Universidade Federal do Rio Grande do Norte (UFRN)
instacron:UFRN
instname_str Universidade Federal do Rio Grande do Norte (UFRN)
instacron_str UFRN
institution UFRN
reponame_str Princípios (Natal. Online)
collection Princípios (Natal. Online)
repository.name.fl_str_mv Princípios (Natal. Online) - Universidade Federal do Rio Grande do Norte (UFRN)
repository.mail.fl_str_mv ||principios@cchla.ufrn.br
_version_ 1799769977450921984