Namespaces
Variants
Actions

Affine distance

From Encyclopedia of Mathematics
Revision as of 17:14, 7 February 2011 by 127.0.0.1 (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

An invariant determined by two line elements in an equi-affine plane. A point together with a straight line passing through it is called a line element . For two line elements and the affine distance is , where is the surface area of the triangle and is the point of intersection of the straight lines and . The affine distance for two elements tangent to a parabola is equal to the affine arc length of this parabola (cf. Affine parameter). In the three-dimensional equi-affine space the affine distance may also be defined in terms of elements consisting of pairwise incident points, straight lines and planes.

How to Cite This Entry:
Affine distance. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Affine_distance&oldid=32573
This article was adapted from an original article by A.P. Shirokov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article