Geometry: Difference between revisions
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imported>Aleksander Stos m (math WG) |
imported>Aleksander Stos (try to generalize) |
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''' | In common parlance, '''geometry''' refers to 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 either generally to the spatial or [[metric]] properties of a given space or, more specifically in [[differential geometry]], to a given complete locally homogeneous Riemannian manifold. | |||
[[Category:Mathematics Workgroup]] | [[Category:Mathematics Workgroup]] | ||
Revision as of 12:41, 7 March 2007
In common parlance, geometry refers to 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 either generally to the spatial or metric properties of a given space or, more specifically in differential geometry, to a given complete locally homogeneous Riemannian manifold.