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affine geometry
NOUN
1.
the branch of geometry dealing with affine transformations.
Source: Dictionary.com
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en.wikipedia.org/wiki/Affine_geometry

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 ...

www.cis.upenn.edu/~cis610/geombchap2.pdf

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

mathworld.wolfram.com/AffineGeometry.html

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  ...

www.cut-the-knot.org/triangle/pythpar/Geometries.shtml

In the 2 point geometry, there exists a single line that contains exactly 2 points. ( Without ... It's a known dictum that in Affine Geometry all triangles are the same.

math.ucr.edu/~res/progeom/pgnotes02.pdf

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 ...

link.springer.com/chapter/10.1007/978-1-4419-9961-0_2

May 24, 2011 ... But the deeper reason is that vector spaces and affine spaces really have different geometries. The geometric properties of a vector space are ...

settheory.net/affine-geometry

After our general introduction to geometry, let us more precisely introduce affine geometry, that is the description of affine spaces (classified by their dimension).

www-history.mcs.st-and.ac.uk/~john/geometry/Lectures/L13.html

Affine Geometry. Recall from an earlier section that a Geometry consists of a set S (usually Rn for us) together with a group G of transformations acting on S.