is a geometric structure that generalizes some of the properties of Euclidean Spaces in such a way that these are independent of the concepts of distance and measure of angles, keeping only the properties related to parallelism and ratio of lengths for parallel line segments
in an affine space, there is no distinguished point that serves as an origin
an affine space is nothing more than a vector space whose origin (zero vector) we try to forget about, by adding translations to the linear maps