Relação de grandezas geométricas entre diferentes médias

Abstract

This work was developed in the field of Mathematics with an emphasis on Pure Mathematics, aiming to develop and study and develop solutions that represent dependency relationships between geometric quantities, aiming not only to determine unusual associations between geometry and algebra, but also to develop learning objects with Dynamic Geometry. In this context, this work investigates the development and analysis of solutions that relate geometric quantities of the triangle and the circle, establish relationships between arithmetic, geometric, harmonic and quadratic means, study and understand the similarity characteristics between triangles, work with the circle and its trigonometric properties, examine polynomials and their roots, as well as approach geometry computationally and dynamically.