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Topic: Geodesic


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 Read about Geodesic at WorldVillage Encyclopedia. Research Geodesic and learn about Geodesic here!   (Site not responding. Last check: 2007-11-06)
mathematics, a geodesic is a generalization of the notion of a "straight line" to curved spaces.
The geodesic that one obtains by extremizing the energy functional is identical to the geodesic obtained by extremizing the length functional; both are given by the geodesic equations.
Thus, the geodesic lines are the integral curves of the geodesic flow onto the manifold M.
encyclopedia.worldvillage.com /s/b/Geodesic   (1020 words)

  
 Geodesic Equation Encyclopedia Article, Information, History and Biography @ Karr.net   (Site not responding. Last check: 2007-11-06)
Geodesics are commonly seen in the study of Riemannian geometry and more generally metric geometry.
In physics, geodesics describe the motion of point particles; in particular, the path taken by a falling rock, an orbiting satellite, or the shape of a planetary orbit are all described by geodesics in the theory of general relativity.
In the case of a Riemannian manifold, the geodesics that one obtains this way are identical to geodesics for the induced metric space.
www.karr.net /encyclopedia/Geodesic_equation   (1219 words)

  
 Encyclopedia: Geodesic
The term "geodesic" comes from geodesy, the science of measuring the size and shape of the earth; in the original sense, a geodesic was the shortest route between two points on the surface of the earth, namely, a segment of a great circle.
Geodesic domes are designed by taking a Platonic solid, such as an icosahedron, and then filling each face with a regular pattern of triangles bulged out so that their vertices lie in the surface of a sphere.
Every shortest path from A to B yields a geodesic, but the converse is not always true, as the example of a sphere shows.
www.nationmaster.com /encyclopedia/Geodesic   (474 words)

  
 Geodesic
In mathematics, a geodesic is a curve which is "straight" in some sense.
A geodesic is a curve which is everywhere locally a distance minimizer.
The space-time in the theory of general relativity is a pseudo-Riemannian manifold, and geodesics can be defined exactly as before.
www.brainyencyclopedia.com /encyclopedia/g/ge/geodesic.html   (442 words)

  
 AllRefer.com - geodesic dome (Architecture) - Encyclopedia
Popular in recent years as economical, easily erected buildings, geodesic domes are geometrically determined from a model and may be constructed from limited materials.
The architect Buckminster Fuller was an early proponent of geodesics for housing and other functions.
Among the best-known examples of geodesic domes have been the United States Pavilion at Montreal's Expo 67 and Biosphere II, an experimental recreation of the ecosystem in Arizona.
reference.allrefer.com /encyclopedia/G/geodesic.html   (188 words)

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