Monthly Archives: December 2019

Affine Geometry

Formal Definition Affine theory deals with 2 sets: One which elements are called locations and another, which elements are called directions. The directions form an additive group. Every additive group carries a derived composition between its elements and scalars. It is defined recursively as (composition symbol implied). Greek letters will be reserved for scalar names… Read More »


Formal Definition A Field is a set which elements are called Scalars. 2 scalars can be combined in 2 ways, One is called their sum and is denoted by . Another is called their product and is denoted  by (with composition symbol implied). Both compositions are associative and commutative and both have neutral elements called… Read More »