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Definition of the noun affine geometry
What does affine geometry mean as a name of something?
- the geometry of affine transformations
Affine geometry: In mathematics, affine geometry is the study of parallel lines. Its use of Playfair's axiom is fundamental since comparative measures of angle size are foreign to affine geometry so that Euclid's parallel postulate is beyond the scope of pure affine geometry. In affine geometry, the relation of parallelism may be adapted so as to be an equivalence relation. Comparisons of figures in affine geometry are made with affinities, which are mappings comprising the affine group A. Since A lies between the Euclidean group E and the group of projectivities P, affine geometry is sometimes mentioned in connection with the Erlangen program, which is concerned with group inclusions such as E ⊂ A ⊂ P.
- also known as 仿射几何学
Printed dictionaries and other books with definitions for Affine geometry
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by Eric W. Weisstein
See also AFFINE CONNECTION, AFFINE EQUATION, AFFINE GEOMETRY, AFFINE GROUP, AFFINE HULL, AFFINE PLANE, AFFINE SPACE, AFFINE TRANSFORMATION, AFFINITY, COMPLEX PLANE, COMPLEX PROJECTIVE PLANE ...
Encyclopedia of Distances (2014)
by Michel Marie Deza, Elena Deza
Affine Geometry 121 6.3 Affine Geometry.
Dictionary of Distances (2006)
by Michel-Marie Deza, Elena Deza
AFFINE GEOMETRY An n-dimensional affine space over a field F ...
Subject Headings Used in the Dictionary Catalogs of the Library of Congress [from 1897 Through June 1964] (1966)
by Library of Congress. Subject Cataloging Division
Geometry, Affine x Affine geometry xx Geometry, Modern Geometry, Modern t sa Geometry, Affine Geomorphic geology See Geomorphology Geomorphology ( Indirect) sa Erosion Landforms x Geomorphic geology Physiography xx Erosion ...
by John Daintith, Richard Rennie
affine geometry /ă-fÿn/ The study of properties left invariant under the group of affine transformations. See affine ...
by Robert B. Fisher, Toby P. Breckon, Kenneth Dawson-Howe, Andrew Fitzgibbon, Craig Robertson, Emanuele Trucco, Christopher K. I. Williams
Affine geometry is a studyofproperties of geometric objects that remain invariant under affine transformations (mappings), ...
by Ivor Grattan-Guinness
nineteenth century saw diverse developments in geometry that fundamentally altered its conception since the time of Euclid two thousand years before: projective geometry, affine geometry, nonEuclidean geometry and differential geometry, ...
by Christopher Clapham, James Nicholson, James R. Nicholson
affine geometry A geometry in which some properties are preserved by *parallel projection from one plane to ...
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Video about Affine geometry
Affine geometry Meaning
Video shows what affine geometry means. The branch of geometry dealing with affine transformations.. Affine geometry Meaning. How to pronounce, definition ...
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