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Difference between revisions of "Incidence"

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A term from geometry, used for denoting the relation of  "belonging to"  or  "containing"  (<img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/i/i050/i050390/i0503901.png" />) between the basic objects in geometry: points, lines, planes. The properties of incidence are characterized by the so-called incidence axioms (see, e.g., [[Hilbert system of axioms|Hilbert system of axioms]]).
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A term from geometry, used for denoting the relation of  "belonging to"  or  "containing"  ($\in$) between the basic objects in geometry: points, lines, planes. The properties of incidence are characterized by the so-called incidence axioms; see, e.g., [[Hilbert system of axioms]], [[Incidence system]] and [[Projective geometry]].
 
 
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See also [[Incidence system|Incidence system]] and [[Projective geometry|Projective geometry]] for references.
 

Latest revision as of 12:40, 4 January 2014


A term from geometry, used for denoting the relation of "belonging to" or "containing" ($\in$) between the basic objects in geometry: points, lines, planes. The properties of incidence are characterized by the so-called incidence axioms; see, e.g., Hilbert system of axioms, Incidence system and Projective geometry.

How to Cite This Entry:
Incidence. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Incidence&oldid=31228
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article