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Geodesic

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In geometry, a geodesic () is a curve representing in some sense the locally shortest path (arc) between two points in a surface, or more generally in a Riemannian manifold. The term also has meaning in any differentiable manifold with a connection. It is a generalization of the notion of a "straight line".

Geodesic - Wikipedia Jump to content From Wikipedia, the free encyclopedia Straight path on a curved surface or a Riemannian manifold This article is about geodesics in general. For geodesics in general relativity, see Geodesic (general relativity) . For the study of Earth's shape, see Geodesy . For the application on Earth, see Earth geodesic . For other uses, see Geodesic (disambiguation) . Klein quartic with 28 geodesics (marked by 7 colors and 4 patterns) In geometry , a geodesic ( / ˌ dʒ iː . ə ˈ d ɛ s ɪ k , - oʊ -, - ˈ d iː s ɪ k , - z ɪ k / ) [ 1 ] [ 2 ] is a curve representing in some

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