Soluções Geométrica e Algébrica do Problema de Apolônio

• Autor(a) principal: Melo, Alysson Espedito de
• Data de Publicação: 2015
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UFPB
• Texto Completo: https://repositorio.ufpb.br/jspui/handle/tede/7519
• topic: Construções geométricas; Geometric constructions; Problema de Apolônio; Homotetia; Problem of Apollonius and Dilate; MATEMATICA::MATEMATICA APLICADA

This work, our main objective is to present a geometric and algebraic solution to the problem of Apollonius. The problems are as Apollonius citations in Pappus works as follows: Given three elements, each of which may be points, lines or circumference, construct a circumference passing through the point (s) and is tangent to each of the lines given, but our work will speci cally show the solutions for the case where the three objects are three tangent circumference non-drying, and with di erent radii. We will also present historical elements of the problem of Apollonius, we have developed several important mathematical concepts for understanding the constructions.