Difference between revisions of "Ideal point"
From Encyclopedia of Mathematics
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''improper point, point at infinity, infinitely-distant point'' | ''improper point, point at infinity, infinitely-distant point'' | ||
A point that completes the plane in order to describe certain geometrical relations and systems. For example, an [[Inversion|inversion]] is a one-to-one mapping of the Euclidean plane completed by an ideal point; completion of the affine plane by ideal points leads to the concept of a [[Projective plane|projective plane]]. See also [[Infinitely-distant elements|Infinitely-distant elements]]. | A point that completes the plane in order to describe certain geometrical relations and systems. For example, an [[Inversion|inversion]] is a one-to-one mapping of the Euclidean plane completed by an ideal point; completion of the affine plane by ideal points leads to the concept of a [[Projective plane|projective plane]]. See also [[Infinitely-distant elements|Infinitely-distant elements]]. | ||
Revision as of 14:38, 1 May 2014
improper point, point at infinity, infinitely-distant point
A point that completes the plane in order to describe certain geometrical relations and systems. For example, an inversion is a one-to-one mapping of the Euclidean plane completed by an ideal point; completion of the affine plane by ideal points leads to the concept of a projective plane. See also Infinitely-distant elements.
How to Cite This Entry:
Ideal point. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Ideal_point&oldid=32033
Ideal point. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Ideal_point&oldid=32033
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article