HISTORY OF NON-EUCLIDIAN GEOMETRY

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...

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Detalles Bibliográficos
Autores: Ribeiro, Adriano, Guimarães, Túlio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Brasil
Institución:Publicação independente
Repositorio:Scientia Generalis
Idioma:portugués
OAI Identifier:oai:ojs2.scientiageneralis.com.br:article/21
Acceso en línea:https://scientiageneralis.com.br/index.php/SG/article/view/v1n2a3
Access Level:acceso abierto
Palabra clave:Non-Euclidean geometry
Euclid
hyperbolic
Geometria não euclidiana
Euclides
hiperbólica
Descripción
Sumario: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.