Ideal point
From Encyclopedia of Mathematics
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=34379
Ideal point. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Ideal_point&oldid=34379
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article