Pontos notáveis do triângulo e o olho geométrico

Abstract

By manipulating geometric figures through the GeoGebra software we can find out some curiosities. An example is what we will call here with geometric eye, which is a geometrical construct performed by the remarkable points of the triangle that resembles a human eye. Finding this interesting we solved, counting on the planar and analytical geometry to study this figure in order to justify some behaviors and, moreover, equate the components of the eye. It aims at this work to present both this study and its results, thus seeking to foster the student's interest for mathematical research in particular in the sense of trying to justify curious behaviors and or equate these curiosities.