THE CONICS IN TAXICAB GEOMETRY

Authors

  • Carlos Augusto Gomes Loiola SEEDUC/RJ
  • Chrsitine Sertã Costa Pontifícia Universidade Católica do Rio de Janeiro (PUC-Rio) Colégio Pedro II

DOI:

https://doi.org/10.5902/2179460X14596

Keywords:

Euclides, Quinto Postulado, Geometria do Taxi, Lugar Geométrico, Ensino

Abstract

http://dx.doi.org/10.5902/2179460X14596

This paper aims to present conics when defined in a non-Euclidean geometry: the Taxicab geometry. The choice of this geometry was due to the simplicity of its definitions enabling diverse applications in Basic Education. It differs from Euclidean geometry by its metric and presents interesting and surprising results that enable the development of a more critical and meaningful learning.

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Author Biographies

Carlos Augusto Gomes Loiola, SEEDUC/RJ

Professor efetivo da Secretaria de educação do Estado do Rio de Janeiro

Chrsitine Sertã Costa, Pontifícia Universidade Católica do Rio de Janeiro (PUC-Rio) Colégio Pedro II

Departamento de Matemática - PUC-Rio

Departamento de Matemática - Colégio Pedro II

Pró-Reitoria de Pós-Graduação, Pesquisa, Extensão e Cultura - Colégio Pedro II

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Published

2015-08-07

How to Cite

Loiola, C. A. G., & Costa, C. S. (2015). THE CONICS IN TAXICAB GEOMETRY. Ciência E Natura, 37, 179–191. https://doi.org/10.5902/2179460X14596