1. affine - Noun
2. affine - Adjective
3. affine - Verb
4. affine - Adjective Satellite
To refine.
Source: Webster's dictionaryAffine space An ellipse is also the result of projecting a circle, sphere, or ellipse in a three dimensional affine space onto a plane (flat), by parallel lines. Source: Internet
A commonly used method for carrying out the embedding in this case involves expanding the set of affine coordinates and working in a more general "algebra". Source: Internet
Affine transformation in plane geometry A simple affine transformation on the real plane Effect of applying various 2D affine transformation matrices on a unit square. Source: Internet
Also, both curves are rational, as they are parameterized by x, and Riemann-Roch theorem implies that the cubic curve must have a singularity, which must be at infinity, as all its points in the affine space are regular. Source: Internet
All of these concepts are usually defined as subsets of an ambient vector space (except for affine spaces, which are also considered as "vector spaces forgetting the origin"), rather than being axiomatized independently. Source: Internet
A finite projective plane will produce a finite affine plane when one of its lines and the points on it are removed. Source: Internet