Medida: área e volume

Abstract

In this work we try to make an approach of some classical theorems of Plana Euclidean geometry more deeply than is usually done in high school, because although they have a big role in solving many geometric problems are somehow forgotten both in basic education as in undergraduate education. In order to redeem such theorems, developing skills in geometry, logic and mathematics as a whole; From the postulates of Euclid and its main theorems we explore the more usual area and volume formulas studied in high school, as well as their properties. For demonstrations of these theorems, fi zemos using some results of plane geometry and spatial geometry. We believe that both the focus of the realization of this work, as the classical theorems, can serve to improve the teaching and learning of geometry Euclidean Plane and Space, and possibly serve as a motivator for students and teachers that seek to improve their knowledge in geometry in their several developments.