Uma Simplificação do Problema de Apolônio em Construções Dinâmicas

Abstract

In this work, solutions to problems involving tangency are presented, more specifically, the cases involving only points and lines in the Apollonius problem, built from the GeoGebra dynamic geometry environment, that is, cases involving the circumference as one of the initial objects of the construction were not addressed. Initially, a research was carried out on the resolution of each case individually. It was noted that the works consulted use static figures to explain the step by step of the proposed solutions and that the material on the subject is dispersed in several works, especially with regard to a complete approach to the sub-cases. To try to contribute to filling this gap, the production of a dynamic virtual book was started on the GeoGebra online platform. This dynamic book was later converted into the present work, the constructions being reduced to animated gifs.