Uma abordagem de geometrias não-euclidianas na educação básica: geometria esférica

Abstract

In this paper, we study an approach to non-Euclidean geometries, as a way to verify that science, particularly mathematics can get different views of reality, even after years consolidated. Therefore approach the postulates of Euclid, and the controversies surrounding the postulate of parallel. In addition, addressing the two classical types of non-Euclidean geometries: spherical and hyperbolic. We will conclude with applications of Spherical Geometry, issue this instructive and rich, easily accessible to students and teachers of basic education.