Geometry: Difference between revisions

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imported>Aleksander Stos
m (math WG)
imported>Aleksander Stos
(try to generalize)
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'''Geometry''' is the study of the relationships between [[point (geometry)|points]], [[line (geometry)|lines]], [[surface (geometry)|surfaces]], [[solid (geometry)|solids]] and other higher dimensional objects.
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 11:41, 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.