ABSTRACT
In affine geometry the only geometric properties that make sense are those which do not make use of metric notions. In Part II we will see how notions such as distance, angle and perpendicular can only be defined if one introduces into affine space a finer structure, that of Euclidean space. To do this we will need to introduce some further linear algebra, the theory of bilinear and quadratic forms, which we begin studying in this chapter. We will also deal with some topics which are beyond those needed here, but are of fundamental importance in mathematics.
