﻿ Definition of Collineation. Meaning of Collineation. Synonyms of Collineation

# Definition of Collineation. Meaning of Collineation. Synonyms of Collineation

Here you will find one or more explanations in English for the word Collineation. Also in the bottom left of the page several parts of wikipedia pages related to the word Collineation and, of course, Collineation synonyms and on the right images related to the word Collineation.

## Definition of Collineation

Collineation
Collineation Col*lin`e*a"tion, n. [L. collineare to direct in a straight line. See Collimation.] The act of aiming at, or directing in a line with, a fixed object. [R.] --Johnson.

## Meaning of Collineation from wikipedia

- In projective geometry, a collineation is a one-to-one and onto map (a bijection) from one projective space to another, or from a projective space to itself...
- is a bijection that maps lines to lines, and thus a collineation. In general, some collineations are not homographies, but the fundamental theorem of...
- the collineations of PG(2,K) are compositions of homographies and automorphic collineations. Automorphic collineations are planar collineations. A projective...
- the plane, the collineation group is doubly transitive meaning that any ordered pair of points can be mapped by at least one collineation to any other ordered...
- is called a perspective collineation (central collineation in more modern terminology). Let φ be a perspective collineation of S2. Each point of the...
- A matter collineation (sometimes matter symmetry and abbreviated to MC) is a vector field that satisfies the condition, L X T a b = 0 {\displaystyle {\mathcal...
- curvature collineations forms a Lie algebra under the Lie bracket operation (if the smoothness condition is dropped, the set of all curvature collineations need...
- A curvature collineation (often abbreviated to CC) is vector field which preserves the Riemann tensor in the sense that, L X R a b c d = 0 {\displaystyle...
- Elation may also refer to: Carnival Elation, cruise ship A type of collineation in perspective geometry where the center lies on the axis Elation (album)...
- projective space. A related group is the collineation group, which is defined axiomatically. A collineation is an invertible (or more generally one-to-one)...