THE PROBLEM OF NEUSIS AND THE ELEMENTS OF EUCLIDES: A research proposal for the teaching of geometry.
Trisection, Euclides, Geometry
Failed attempts to solve the trisection problem of trisection from any angle resulted in numerous mathematical discoveries and served as a source for the emergence of new ideas and unknow paths is in its universe of trial and error that this work is found. Through the problem of Neusis construction, thus defined by the Greeks, the challenge of trisecting any angle using only a ruler and compass will be studied applying the theorical bases of the postulates described on the first book (or chapter) of Euclid’s most famous work: “The elements “. Even though Wantzel proved to be a mathematically impossible task to perform, the aim is to trisect the angle, and thus instigate the search for the solution causing the reader to discover the already known or even new relationships between lines, circles and angles
present in geometry.