Geometria não euclidiana, uma opção para o ensino médio

Abstract

This work brings a small survey on the first cataloging of knowledge about geometry that dictated the rules for over 2000 years written in a book entitled The Elements written by Euclid of Alexandria. Later came the mathematicians who took the first steps towards the discovery of a ’new geometry’, Saccheri and Lambert, until reaching the mathematicianswhodevelopedageometrycalledhyperbolicgeometry,Gauss,János Bolyai and Lobachevski, and further on the other side Of the new geometry developed the elliptical geometry, created by a disciple of Gauss called Georg Friedrich Bernhard Riemann. It is worth mentioning that this work comes a language where the student can read and understand clearly and accurately.