Ideal point

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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:
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article