Faculty of Science

Objectives

To provide students with the basics concepts of Affine Geometry, Affine Euclidean spaces and Projective Geometry.

Contents

Synthetic Plane Euclidean Geometry; Affine Geometry; Thales, Pappus and related Theorems; Affine Euclidean Space ; Affine isometry; Symmetry; Notion of oriented angles; Projective Geometry; Homogeneous coordinates; Projective completion of an affine space; Duality; Perspective; Introduction of axiomatic geometry.