Euclidean Space (Mathematics)

Euclidean space is a mathematical framework that models our usual notion of space, typically three-dimensional, using points, lines, and shapes. It is based on the work of Euclid, describing space with concepts like distance, angles, and straight lines. In Euclidean space, you can measure the distance between points and determine the shortest path connecting them. This space extends beyond three dimensions, allowing mathematicians to study geometry in any number of dimensions. It provides a foundation for many areas of science, engineering, and mathematics by formalizing how objects relate and interact within a structured, consistent framework.