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It is named after the ancient Greek mathematician Euclid, who is known for his foundational work in geometry. Euclidean space refers to a geometric space that follows certain principles and axioms, such as the existence of straight lines and the parallel postulate. In Euclidean space, points are represented by coordinates, and distances and angles between points can be calculated using Euclidean geometry. Euclidean space can have any number of dimensions, denoted by 'n'. The most commonly studied Euclidean spaces are 2D (plane) and 3D (space), but the concept extends to higher dimensions as well. The properties of Euclidean space have important applications in various fields, including physics, engineering, computer graphics, and even art. It provides a mathematical framework for describing the physical world as we perceive it and has been crucial in the development of theories such as calculus, mechanics, and electromagnetism. The Wikipedia page on Euclidean space provides a comprehensive overview of its definitions, properties, and applications. It covers topics such as vector spaces, coordinate systems, transformations, and Euclidean geometry. The page also discusses related topics like non-Euclidean geometry and hyperbolic space. Overall, the Wikipedia page on Euclidean space serves as a valuable resource for anyone interested in understanding the fundamental concepts and applications of this important mathematical construct.