ABSTRACT

The study of geometry in secondary schools is based upon Euclid’s axiomatic system in the modern formulation given at the end of the nineteenth century by David Hilbert. For plane geometry, this system considers points and lines as the primitive objects. It also takes as primitive the notions of a point belonging to a line, a point lying between two points, equality of segments and equality of angles (the notions of segment and angle are defined in terms of the axioms).