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geodesies

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Definitions of geodesies in various dictionaries:

noun - the branch of geology that studies the shape of the earth and the determination of the exact position of geographical points

noun - geographical surveying

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Possible Dictionary Clues
The branch of mathematics dealing with the shape and area of the earth or large portions of it.

Geodesies might refer to
The study of Geodesics on an ellipsoid arose in connection with geodesy * specifically with the solution of triangulation networks. The * figure of the Earth is well approximated by an * oblate ellipsoid, a slightly flattened sphere. A geodesic * is the shortest path between two points on a curved surface, i.e., the analogue * of a straight line on a plane surface. The solution of a triangulation * network on an ellipsoid is therefore a set of exercises in spheroidal * trigonometry (Euler 1755). * If the Earth is treated as a sphere, the geodesics are * great circles (all of which are closed) and the problems reduce to * ones in spherical trigonometry. However, Newton (1687) * showed that the effect of the rotation of the Earth results in its * resembling a slightly oblate ellipsoid and, in this case, the * equator and the meridians are the only simple * closed geodesics. Furthermore, the shortest path between two points on * the equator does not necessarily run along the equator. Finally, if the * ellipsoid is further perturbed to become a triaxial ellipsoid (with * three distinct semi-axes), only three geodesics are closed.

Geodesies might refer to

The study of Geodesics on an ellipsoid arose in connection with geodesy
* specifically with the solution of triangulation networks. The
* figure of the Earth is well approximated by an
* oblate ellipsoid, a slightly flattened sphere. A geodesic
* is the shortest path between two points on a curved surface, i.e., the analogue
* of a straight line on a plane surface. The solution of a triangulation
* network on an ellipsoid is therefore a set of exercises in spheroidal
* trigonometry (Euler 1755).
* If the Earth is treated as a sphere, the geodesics are
* great circles (all of which are closed) and the problems reduce to
* ones in spherical trigonometry. However, Newton (1687)
* showed that the effect of the rotation of the Earth results in its
* resembling a slightly oblate ellipsoid and, in this case, the
* equator and the meridians are the only simple
* closed geodesics. Furthermore, the shortest path between two points on
* the equator does not necessarily run along the equator. Finally, if the
* ellipsoid is further perturbed to become a triaxial ellipsoid (with
* three distinct semi-axes), only three geodesics are closed.

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