Uma Heurí­stica Platônica para Termos Pitagóricos

Uma Heurí­stica Platônica para Termos Pitagóricos

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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...

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Main Authors: John A. Fossa, Glenn W. Erickson
Format: Article
Language:deu
Published: Universidade Federal do Rio Grande do Norte 2010-10-01
Series:Princípios
Online Access:https://periodicos.ufrn.br/principios/article/view/699
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spelling doaj-f14da5f778114430b1a4066d945bbed52020-11-25T00:03:37ZdeuUniversidade Federal do Rio Grande do NortePrincípios0104-86941983-21092010-10-01405147158639Uma Heurí­stica Platônica para Termos PitagóricosJohn A. FossaGlenn W. EricksonIn 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.https://periodicos.ufrn.br/principios/article/view/699
collection DOAJ
language deu
format Article
sources DOAJ
author John A. Fossa
Glenn W. Erickson
spellingShingle John A. Fossa
Glenn W. Erickson
Uma Heurí­stica Platônica para Termos Pitagóricos
Princípios
author_facet John A. Fossa
Glenn W. Erickson
author_sort John A. Fossa
title Uma Heurí­stica Platônica para Termos Pitagóricos
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
publisher Universidade Federal do Rio Grande do Norte
series Princípios
issn 0104-8694
1983-2109
publishDate 2010-10-01
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.
url https://periodicos.ufrn.br/principios/article/view/699
work_keys_str_mv AT johnafossa umaheuristicaplatonicaparatermospitagoricos
AT glennwerickson umaheuristicaplatonicaparatermospitagoricos
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