What does Collineation mean?
Definitions for Collineation
col·lin·ea·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word Collineation.
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Wiktionary
collineationnoun
The act of collineating; collimation
Etymology: collineare to direct in a straight line. See collimation.
Samuel Johnson's Dictionary
Collineationnoun
The act of aiming.
Etymology: collineo, Lat.
Wikipedia
Collineation
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, such that the images of collinear points are themselves collinear. A collineation is thus an isomorphism between projective spaces, or an automorphism from a projective space to itself. Some authors restrict the definition of collineation to the case where it is an automorphism. The set of all collineations of a space to itself form a group, called the collineation group.
Webster Dictionary
Collineationnoun
the act of aiming at, or directing in a line with, a fixed object
Etymology: [L. collineare to direct in a straight line. See Collimation.]
Wikidata
Collineation
In projective geometry, a collineation is a one-to-one and onto map from one projective space to another, or from a projective space to itself, such that the images of collinear points are themselves collinear. All projective linear transformations induce a collineation. A collineation of a projective space to itself is also called an automorphism, and the set of all collineations of a space to itself form a group, called the collineation group.
Numerology
Chaldean Numerology
The numerical value of Collineation in Chaldean Numerology is: 9
Pythagorean Numerology
The numerical value of Collineation in Pythagorean Numerology is: 3
Translations for Collineation
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"Collineation." Definitions.net. STANDS4 LLC, 2024. Web. 22 Dec. 2024. <https://www.definitions.net/definition/Collineation>.
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