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**.

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.

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.

- 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)...

- 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)...

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