Geometria projetiva: algumas aplicações básicas para alunos do Ensino Médio

Abstract

The objective of the present work, analyze the main theorems of projective geometry, presenting some problems and their solutions, using the Menelaus theorem and some arguments of classical geometry. Even if it is unknown to the students Teaching Average, the aim of this work was to present it to them through the introduction of knowledge this fundamental geometry, as Projetividade, perspectivity, dual loved and some theorems as the Desargues' theorem, the fundamental theorem and the theorem of Pappus. Expected that through this approach on some basic applications of projective geometry, are proportionate conditions necessary for the reader, professors and experts deepen their knowledge of projective geometry and be motivated to continue to research the subject at hand and motivate them to seek other sources of information to facilitate advances the re fl ections of this geometry. It is expected also that the teacher can arouse the interest of his students by research on this very important geometry in our lives.