As Cônicas e seus diâmetros: construções e problemas

Abstract

The present work is a descriptive study on the diameters of conics which has the descriptive analysis methodology adopted. The main objective is to describe the diameters of each conic, contributing to the teaching of Analytical Geometry in the Licentiate or Bachelor's Degree in Mathematics, High School and related areas. Initially, a brief research was carried out on the history of the emergence of these curves. With the help of textbooks, we present its definitions, the main elements and some of its equations. However, in order to explore the diameters of conics and present their relevance with regard to the teaching of Analytical Geometry within the classroom, it is using the work of Costa (2019) as the main source, which made it possible to describe the diameters of each conic and their respective equations and, finally, the elaboration of an activity proposal focused on solving problems involving the conjugate diameters.