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affine geometry
the branch of geometry dealing with affine transformations.
Source: Dictionary.com
affine geometry | Define affine geometry at Dictionary.com
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In mathematics, affine geometry is what remains of Euclidean geometry when not using the metric notions of distance and angle. As the notion of parallel lines is ...


An affine geometry is a geometry in which properties are preserved by parallel projection from one plane to another. In an affine geometry, the third and fourth of  ...


AFFINE GEOMETRY. Theorem II.1. Let x, y and z be distinct points of S such that z ∈ xy. Then {x,y,z} is a noncollinear set. Proof. Suppose that L is a line ...


Corresponding to linear combinations of vectors, we define affine combina- tions of ... Our presentation of affine geometry is far from being comprehensive,.


In this context, the word affine was first used by Euler (affinis). In modern parlance , Affine Geometry is a study of properties of geometric objects that remain ...


Oct 21, 2014 ... following and rephrasing “Faculty Senate Affine Geometry” by Paul Bamberg in a more mathemat- ically conventional language (so it does not ...


As far as I understand Affine transformation preserves parallelism and ratios of lengths. Consider a transformation which maps distinguished line from ...


Dec 17, 2016 ... Mathematics > Differential Geometry ... We consider an analogous characterization of affine automorphisms for compact quotients, and ...