Elliptic Coordinates


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elliptic coordinates

[ə′lip·tik kō′ȯrd·ən·əts]
(mathematics)
The coordinates of a point in the plane determined by confocal ellipses and hyperbolas.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Elliptic Coordinates

 

coordinates associated with a family of confocal ellipses and hyperbolas. The relation between the elliptic coordinates of a point M and its Cartesian coordinates x and y is give by the equations x = c cosh u cos v and y = c sinh u sin v.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
In [12], Mashtakov and Sachkov gave a partition of the cylinder C into subsets corresponding to motions of the pendulum (28) of the same type, and using this partition, they introduced elliptic coordinates rectifying the phase flow of the pendulum on a subset of full measure of the cylinder C.