A geometria do disco de Poincaré

dc.contributorNós, Rudimar Luiz
dc.contributorNós, Rudimar Luiz
dc.contributorAdames, Márcio Rostirolla
dc.contributorSaito, Olga Harumi
dc.creatorAlbon, Alfred James Dias
dc.date.accessioned2022-07-06T12:28:02Z
dc.date.accessioned2022-12-06T14:57:30Z
dc.date.available2022-07-06T12:28:02Z
dc.date.available2022-12-06T14:57:30Z
dc.date.created2022-07-06T12:28:02Z
dc.date.issued2021-06-21
dc.identifierALBON, Afred James Dias. A geometria do disco de Poincaré. 2021. Trabalho de Conclusão de Curso (Licenciatura em Matemática) - Universidade Tecnológica Federal do Paraná, Curitiba, 2021.
dc.identifierhttp://repositorio.utfpr.edu.br/jspui/handle/1/29010
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5258606
dc.description.abstractIn this work, we discuss the history of non-Euclidean geometries, emphasizing a model of hyperbolic geometry in the plane: the Poincaré disk. We relate some results in this geometry to results from Euclidean geometry, such as the sum of the internal angles of a triangle, the area of a triangle, the Pythagorean theorem and the laws of sines and cosines. We also use a dynamic geometry software, GeoGebra, to build tessellations on the Poincaré disk. We conclude that GeoGebra is an efficient tool to approach hyperbolic geometries in the plane.
dc.publisherUniversidade Tecnológica Federal do Paraná
dc.publisherCuritiba
dc.publisherBrasil
dc.publisherLicenciatura em Matemática
dc.publisherUTFPR
dc.rightsopenAccess
dc.subjectGeometria não-Euclidiana
dc.subjectGeometria hiperbólica
dc.subjectSimulação (Computadores)
dc.subjectGeometry, Non-Euclidean
dc.subjectGeometry, Hyperbolic
dc.subjectComputer simulation
dc.titleA geometria do disco de Poincaré
dc.typebachelorThesis


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