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Geometrias não euclidianas: elíptica e hiperbólica no ensino médio
(Universidade Tecnológica Federal do ParanáPato BrancoMestrado Profissional em Matemática em Rede Nacional, 2014-03-24)
This work aims to contribute in including teaching of Non-Euclidean Geometry in high
school. For this, a bibliographic research was made about the appearance of such
geometries and introduce content for teaching of ...
Differential geometry of grassmannians and the Plucker map
(VERSITAWARSAW, 2012)
Using the Plucker map between grassmannians, we study basic aspects of classic grassmannian geometries. For 'hyperbolic' grassmannian geometries, we prove some facts (for instance, that the Plucker map is a minimal isometric ...
Differential geometry of grassmannians and the Plucker map
(VersitaWarsaw, 2012)
A história do surgimento da geometria não euclidiana: o despertar para novos mundos e os modelos de Beltrami
(Universidade Tecnológica Federal do ParanáCuritibaBrasilPrograma de Pós-Graduação em Matemática em Rede NacionalUTFPR, 2019-05-06)
The present work presents a brief historical presentation of the development of the non-Euclidian models proposed by Eugenio Beltrami. From the precise systematization of Euclid, we present certain inquiries and misgivings ...
Uma proposta para solução de problemas com a utilização dos axiomas da geometria projetiva
(Universidade Tecnológica Federal do ParanáPato BrancoBrasilPrograma de Pós-Graduação em Matemática em Rede NacionalUTFPR, 2017-11-17)
This paper presents solutions to problems using axioms of projective geometry and one problem with solution via Desargues ´ Theorem. In addition, it contains demonstrations of Pappus Theorem, Desargues ¨ Theorem and Pascal´s ...
Estudo das geometrias afim e projetiva sob o ponto de vista de Felix Klein
(Universidade Tecnológica Federal do ParanáToledoBrasilLicenciatura em MatemáticaUTFPR, 2019-12-06)
This work aims to present an introduction to Afim and Projective Geometries and their main resources through groups of transformations. Thus, it defines its properties, presents the theorems and the results of each geometry. ...
COORDINATE-FREE CLASSIC GEOMETRIES
(Independent Univ MoscowMoscowFederação da Rússia, 2011)
Triángulos
(2011)
The triangles are geometric figures which are based on the study of trigonometry. They are important as tools in the previous calculation to describe physical phenomena such as vector analysis of forces, velocities, etc. ...