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Prolate ellipsoid

Prolate Pro"late, a. [L. prolatus, used as p. p. of proferre to bring forth, to extend; pro + latus, p. p. See Pro-, and Tolerate. ] Stretched out; extended; especially, elongated in the direction of a line joining the poles; as, a prolate spheroid; -- opposed to oblate. Prolate cycloid. See the Note under Cycloid. Prolate ellipsoid or spheroid (Geom.), a figure generated by the revolution of an ellipse about its major axis. See Ellipsoid of revolution, under Ellipsoid.

Prolate Pro"late, a. [L. prolatus, used as p. p. of proferre to bring forth, to extend; pro + latus, p. p. See Pro-, and Tolerate. ] Stretched out; extended; especially, elongated in the direction of a line joining the poles; as, a prolate spheroid; -- opposed to oblate. Prolate cycloid. See the Note under Cycloid. Prolate ellipsoid or spheroid (Geom.), a figure generated by the revolution of an ellipse about its major axis. See Ellipsoid of revolution, under Ellipsoid.

- an ellipsoid with two equal semi-diameters. A spheroid has circular symmetry. If the ellipse is rotated about its major axis, the result is a prolate (elongated)...

- shorter, the ellipsoid is an oblate spheroid; if it is longer, it is a prolate spheroid. If the three axes have the same length, the ellipsoid is a sphere...

- section treats the problem on an ellipsoid of revolution (both oblate and prolate). The problem on a triaxial ellipsoid is covered in the next section....

- The prolate spheroidal wave functions are eigenfunctions of the Laplacian in prolate spheroidal coordinates, adapted to boundary conditions on certain...

- physicist Augustin-Jean Fresnel, is one of a series of confocal prolate ellipsoidal regions of space between and around a transmitter and a receiver...

- ellipse. There are two types, the prolate ellipsoidal dome and the oblate ellipsoidal dome. A prolate ellipsoidal dome is derived by rotating an ellipse...

- approximated by the "long" half of a prolate spheroid, joined to a "short" half of a roughly spherical ellipsoid, or even a slightly oblate spheroid....

- Bracovirus Ichnovirus Viruses in Polydnaviridae are enveloped, with prolate ellipsoid and cylindrical geometries. Genomes are circular and segmented, composed...

- oblate spheroidal coordinates. Prolate spheroidal coordinates can also be considered as a limiting case of ellipsoidal coordinates in which the two smallest...

- coefficient of 43,824 M−1cm−1 at 279 nm Dimensions: 140 × 40 × 40 Å (prolate ellipsoid where a = b < c) pH of 1% Solution: 5.2-7 Optical Rotation: [α]259:...

- shorter, the ellipsoid is an oblate spheroid; if it is longer, it is a prolate spheroid. If the three axes have the same length, the ellipsoid is a sphere...

- section treats the problem on an ellipsoid of revolution (both oblate and prolate). The problem on a triaxial ellipsoid is covered in the next section....

- The prolate spheroidal wave functions are eigenfunctions of the Laplacian in prolate spheroidal coordinates, adapted to boundary conditions on certain...

- physicist Augustin-Jean Fresnel, is one of a series of confocal prolate ellipsoidal regions of space between and around a transmitter and a receiver...

- ellipse. There are two types, the prolate ellipsoidal dome and the oblate ellipsoidal dome. A prolate ellipsoidal dome is derived by rotating an ellipse...

- approximated by the "long" half of a prolate spheroid, joined to a "short" half of a roughly spherical ellipsoid, or even a slightly oblate spheroid....

- Bracovirus Ichnovirus Viruses in Polydnaviridae are enveloped, with prolate ellipsoid and cylindrical geometries. Genomes are circular and segmented, composed...

- oblate spheroidal coordinates. Prolate spheroidal coordinates can also be considered as a limiting case of ellipsoidal coordinates in which the two smallest...

- coefficient of 43,824 M−1cm−1 at 279 nm Dimensions: 140 × 40 × 40 Å (prolate ellipsoid where a = b < c) pH of 1% Solution: 5.2-7 Optical Rotation: [α]259:...

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