HISTORY OF NON-EUCLIDIAN GEOMETRY

Detalhes bibliográficos
Autor(a) principal: Ribeiro, Adriano
Data de Publicação: 2020
Outros Autores: Guimarães, Túlio
Tipo de documento: Artigo
Idioma: por
Título da fonte: Scientia Generalis
Texto Completo: https://scientiageneralis.com.br/index.php/SG/article/view/v1n2a3
Resumo: According to Euclidean geometry, the study conducted after the fifth postulate which stated that if a line, intercepting two others, forms internal angles on the same side whose sum is less than two lines, then these two lines, if infinitely extended, they are on that side whose sum of the internal angles is less than two straight lines. Therefore, this work was developed through the qualitative method through the literature review in an exploratory way about the history of non-Euclidean geometry. Based on readings from printed books, scientific articles, theses, monographs, magazine articles. The period of publication was preferably from sources dated between 2000 and 2016. The research was carried out between February and November 2016.
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spelling HISTORY OF NON-EUCLIDIAN GEOMETRYHISTÓRIA DA GEOMETRIA NÃO-EUCLIDIANANon-Euclidean geometryEuclidhyperbolicGeometria não euclidianaEuclideshiperbólicaAccording to Euclidean geometry, the study conducted after the fifth postulate which stated that if a line, intercepting two others, forms internal angles on the same side whose sum is less than two lines, then these two lines, if infinitely extended, they are on that side whose sum of the internal angles is less than two straight lines. Therefore, this work was developed through the qualitative method through the literature review in an exploratory way about the history of non-Euclidean geometry. Based on readings from printed books, scientific articles, theses, monographs, magazine articles. The period of publication was preferably from sources dated between 2000 and 2016. The research was carried out between February and November 2016.De acordo com os preceitos da geometria euclidiana o estudo dirigido após o quinto postulado o qual afirmava que, se uma reta, interceptando duas outras, forma ângulos internos de um mesmo lado cuja soma é menor que dois retos, então estas duas retas, se prolongadas infinitamente, encontram-se naquele lado cuja soma dos ângulos internos é menor que dois retos. Para tanto, este trabalho foi desenvolvido através do método qualitativo através da revisão de literatura de forma exploratória sobre a história da geometria não euclidiana, sobre o quinto postulado de Euclides e a importância da aplicação de tais conhecimentos na educação. Com base em leituras de livros impressos, artigos científicos, teses, monografias, artigos em revistas. O período das publicações foi preferencialmente por fontes datadas entre o ano de 2000 e 2016. A pesquisa foi realizada entre fevereiro a novembro de 2016.Scientia GeneralisScientia GeneralisScientia Generalis2020-03-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://scientiageneralis.com.br/index.php/SG/article/view/v1n2a3Scientia Generalis; v. 1 n. 2 (2020); 23-38Scientia Generalis; Vol. 1 No. 2 (2020); 23-38Scientia Generalis; Vol. 1 Núm. 2 (2020); 23-382675-2999reponame:Scientia Generalisinstname:Publicação independenteinstacron:INDEPporhttps://scientiageneralis.com.br/index.php/SG/article/view/v1n2a3/14Copyright (c) 2020 Adriano Ribeiro, Túlio Guimarãeshttps://creativecommons.org/licenses/by-sa/4.0info:eu-repo/semantics/openAccessRibeiro, Adriano Guimarães, Túlio 2023-08-01T03:31:58Zoai:ojs2.scientiageneralis.com.br:article/21Revistahttps://scientiageneralis.com.br/index.php/SGPRIhttps://scientiageneralis.com.br/index.php/SG/oaieditor@scientiageneralis.com.br2675-29992675-2999opendoar:2023-08-01T03:31:58Scientia Generalis - Publicação independentefalse
dc.title.none.fl_str_mv HISTORY OF NON-EUCLIDIAN GEOMETRY
HISTÓRIA DA GEOMETRIA NÃO-EUCLIDIANA
title HISTORY OF NON-EUCLIDIAN GEOMETRY
spellingShingle HISTORY OF NON-EUCLIDIAN GEOMETRY
Ribeiro, Adriano
Non-Euclidean geometry
Euclid
hyperbolic
Geometria não euclidiana
Euclides
hiperbólica
title_short HISTORY OF NON-EUCLIDIAN GEOMETRY
title_full HISTORY OF NON-EUCLIDIAN GEOMETRY
title_fullStr HISTORY OF NON-EUCLIDIAN GEOMETRY
title_full_unstemmed HISTORY OF NON-EUCLIDIAN GEOMETRY
title_sort HISTORY OF NON-EUCLIDIAN GEOMETRY
author Ribeiro, Adriano
author_facet Ribeiro, Adriano
Guimarães, Túlio
author_role author
author2 Guimarães, Túlio
author2_role author
dc.contributor.author.fl_str_mv Ribeiro, Adriano
Guimarães, Túlio
dc.subject.por.fl_str_mv Non-Euclidean geometry
Euclid
hyperbolic
Geometria não euclidiana
Euclides
hiperbólica
topic Non-Euclidean geometry
Euclid
hyperbolic
Geometria não euclidiana
Euclides
hiperbólica
description According to Euclidean geometry, the study conducted after the fifth postulate which stated that if a line, intercepting two others, forms internal angles on the same side whose sum is less than two lines, then these two lines, if infinitely extended, they are on that side whose sum of the internal angles is less than two straight lines. Therefore, this work was developed through the qualitative method through the literature review in an exploratory way about the history of non-Euclidean geometry. Based on readings from printed books, scientific articles, theses, monographs, magazine articles. The period of publication was preferably from sources dated between 2000 and 2016. The research was carried out between February and November 2016.
publishDate 2020
dc.date.none.fl_str_mv 2020-03-10
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://scientiageneralis.com.br/index.php/SG/article/view/v1n2a3
url https://scientiageneralis.com.br/index.php/SG/article/view/v1n2a3
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://scientiageneralis.com.br/index.php/SG/article/view/v1n2a3/14
dc.rights.driver.fl_str_mv Copyright (c) 2020 Adriano Ribeiro, Túlio Guimarães
https://creativecommons.org/licenses/by-sa/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2020 Adriano Ribeiro, Túlio Guimarães
https://creativecommons.org/licenses/by-sa/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Scientia Generalis
Scientia Generalis
Scientia Generalis
publisher.none.fl_str_mv Scientia Generalis
Scientia Generalis
Scientia Generalis
dc.source.none.fl_str_mv Scientia Generalis; v. 1 n. 2 (2020); 23-38
Scientia Generalis; Vol. 1 No. 2 (2020); 23-38
Scientia Generalis; Vol. 1 Núm. 2 (2020); 23-38
2675-2999
reponame:Scientia Generalis
instname:Publicação independente
instacron:INDEP
instname_str Publicação independente
instacron_str INDEP
institution INDEP
reponame_str Scientia Generalis
collection Scientia Generalis
repository.name.fl_str_mv Scientia Generalis - Publicação independente
repository.mail.fl_str_mv editor@scientiageneralis.com.br
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