Projective geometry

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. (Wikipedia).

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What are dilations, similarity and scale factors

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What is an enlargement dilation

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How to determine the ratio of a reduction dilation

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What is the definition of the inverse sine function

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Michael Collins (1922)

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GAUMONT GRAPHIC NEWSREEL (REUTERS) To license this film, visit https://www.britishpathe.com/video/VLVAASXO9WF5ESMDLBPVX6UOII5T8-IRELAND-IRA-LEADER-MICHAEL-COLLINS-KILLED-IN-AMBUSH Various shots of Michael Collins. Full Description: SLATE INFORMATION: Ireland's Lost Leader. The late Ge

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Related pages

Vector space | Examples of vector spaces | Linear algebra | Division ring | Projectivization | Incidence (geometry) | Automorphism | Projective semilinear group | Semilinear map | Isomorphism | Group (mathematics) | Wilhelm Blaschke | Projective space | Ternary relation | Line (geometry) | Symmetric group | Non-Desarguesian plane | Injective function | Inversive geometry | Incidence structure | Complex plane | Dimension (vector space) | Projective linear group | Set (mathematics) | Field (mathematics) | Real projective plane | Semidirect product | Real number | Michel Chasles | Pappus's hexagon theorem | Complex conjugate | Bijection | Collinearity | Subgroup | Automorphism group | Homography | Projective geometry | Function composition | Reflection (mathematics) | Image (mathematics)