Geometry: Difference between revisions
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In common parlance, '''geometry''' | In common parlance, '''geometry''' is a branch of mathematics that studies the relationships between figures such as e.g. [[point (geometry)|points]], [[line (geometry)|lines]], triangles, [[ball]]s, [[vector]]s, [[surface (geometry)|surfaces]] and others in a space, such as [[plane]], a higher dimensional Euclidean space, a sphere or, more generally, a [[manifold]]. | ||
As a mathematical term, '''geometry''' refers to either the spatial ([[metric]]) properties of a given space or, more specifically in [[differential geometry]], a given complete locally homogeneous Riemannian manifold. | As a mathematical term, '''geometry''' refers to either the spatial ([[metric]]) properties of a given space or, more specifically in [[differential geometry]], a given complete locally homogeneous Riemannian manifold. | ||
Revision as of 12:48, 7 March 2007
In common parlance, geometry is a branch of mathematics that studies the relationships between figures such as e.g. points, lines, triangles, balls, vectors, surfaces and others in a space, such as plane, a higher dimensional Euclidean space, a sphere or, more generally, a manifold.
As a mathematical term, geometry refers to either the spatial (metric) properties of a given space or, more specifically in differential geometry, a given complete locally homogeneous Riemannian manifold.