# Euclidean plane/Related Articles

From Citizendium, the Citizens' Compendium

*See also changes related to Euclidean plane, or pages that link to Euclidean plane or to this page or whose text contains "Euclidean plane".*

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- Affine space [r]: Collection of points, none of which is special; an
*n*-dimensional vector belongs to any pair of points.^{[e]} - Complete metric space [r]: Property of spaces in which every Cauchy sequence converges to an element of the space.
^{[e]} - Euclidean geometry [r]: Form of geometry first codified by Euclid in his series of thirteen books,
*The Elements*.^{[e]} - Euclid [r]: (ca. 325 BC - ca. 265 BC) Alexandrian mathematician and known as the father of geometry.
^{[e]} - Rigid motion [r]: A transformation which preserves the geometrical properties of the Euclidean spacea distance-preserving mapping or isometry.
^{[e]} - Trigonometric function [r]: Function of an angle expressed as the ratio of two of the sides of a right triangle that contains that angle; the sine, cosine, tangent, cotangent, secant, and cosecant.
^{[e]} - Vector space [r]: A set of vectors that can be added together or scalar multiplied to form new vectors
^{[e]}