Pontos notáveis do triângulo: quantos você conhece?

• Ano de defesa: 2013
• Autor(a) principal: Magalhães, Elton Jones da Silva
• Orientador(a): Santos, Almir Rogério Silva
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Programa de Pós-Graduação: Mestrado Profissional em Matemática
• Palavras-chave em Português: Geometria plana; Geometria; Triângulo; Pontos notáveis do triângulo; Ponto de Feuerbach; Ponto de Lemoine; Ponto de Gergonne; Ponto de Nagel; Ponto de Spieker; Ponto de Fermat
• Palavras-chave em Inglês: Geometry; Geometry, Plane; Triangle; Notable points of the triangle; Feuerbach; Lemoine; Gergonne; Nagel; Spieker; Fermat
• Área do conhecimento CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://ri.ufs.br/handle/riufs/6525

This thesis aims to show that the notable points of the triangles are not limited to Incentro, circumcenter, Baricentro and Orthocenter which are the best known. In fact, the Encyclopedia of Triangle Centers (ETC), see [5], features over five thousand notable points. Are points with several interesting properties as we will see throughout this work. In addition to the points already mentioned will also present the points of Feuerbach, the Lemoine point, the point Gergonne, the Nagel point, the Spieker point and the points of Fermat. Will be also presented some important theorems, among them we highlight the Ceva theorem that will be used to prove the existence of several points mentioned. We realize that it is a matter of understanding that can be easily inserted into the basic education.