Geometric with origami, solving the problem of duplicating the cube and trisecting an angle, future perspectives for the euclidean geometry program in higher education in Angola

Abstract

The present study is about Origami Geometry, solving the problem of doubling the cube and the angle trisection. In order to find an answer to this question, we propose to achieve the following general objective: to know the Huzita-Hatore axioms to solve the problems of doubling the cube and the trisection of an angle, regarding the specific objectives: 1) theoretical and methodological analysis of the Huzita-Hatore axioms to solve the problems of doubling the cube and the trisection of an angle; 2) interpret the Huzita-Hatore axioms to solve the problems of doubling the cube and the trisection of an angle and 3) solving methodically the proplemas of doubling the cube and tricessection of an angle to arrive at the solution of the cubic equation , where a Bible study was chosen. The research sought mainly theoretical support for the postulates written by Euclides of Alexandria.