Três problemas famosos: geometria grega.

Abstract

In this work we present a study on some geometric constructions, where only two geometric design instruments will be used - compass and ruler (not graduated). Through a bibliographical research on the subject, we investigated

as renowned mathematicians they improved their techniques and grounded theo- mind the results, so we created some algebra concepts needed to

prove whether a given case presents a solution or not, under such restrictions imposed by the

exclusive use of the two mentioned objects. We will illustrate the construction of some ca- possible events accompanied by the demonstration. Below we will illustrate some

situations in which it is impossible to finish the construction with just a straightedge and compass, eg keto by approximation, known today as the three famous classic problems

from antiquity: The Trisection of an Angle. Square the Circle and Doubling of the Cube, for these cases we present the main algebraic concepts involved that attest to their insolubility.