Spherical excess

Spherical excess
Spherical Spher"ic*al, Spheric Spher"ic, a. [L. sphaericus, Gr. ???: cf. F. sph['e]rique.] 1. Having the form of a sphere; like a sphere; globular; orbicular; as, a spherical body. [1913 Webster]

2. Of or pertaining to a sphere. [1913 Webster]

3. Of or pertaining to the heavenly orbs, or to the sphere or spheres in which, according to ancient astronomy and astrology, they were set. [1913 Webster]

Knaves, thieves, and treachers by spherical predominance. --Shak. [1913 Webster]

Though the stars were suns, and overburned Their spheric limitations. --Mrs. Browning. [1913 Webster]

{Spherical angle}, {Spherical co["o]rdinate}, {Spherical excess}, etc. See under {Angle}, {Coordinate}, etc.

{Spherical geometry}, that branch of geometry which treats of spherical magnitudes; the doctrine of the sphere, especially of the circles described on its surface.

{Spherical harmonic analysis}. See under {Harmonic}, a.

{Spherical lune},portion of the surface of a sphere included between two great semicircles having a common diameter.

{Spherical opening}, the magnitude of a solid angle. It is measured by the portion within the solid angle of the surface of any sphere whose center is the angular point.

{Spherical polygon},portion of the surface of a sphere bounded by the arcs of three or more great circles.

{Spherical projection}, the projection of the circles of the sphere upon a plane. See {Projection}.

{Spherical sector}. See under {Sector}.

{Spherical segment}, the segment of a sphere. See under {Segment}.

{Spherical triangle},re on the surface of a sphere, bounded by the arcs of three great circles which intersect each other.

{Spherical trigonometry}. See {Trigonometry}. [1913 Webster] -- {Spher"ic*al*ly}, adv. -- {Spher"ic*al*ness}, n. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Spherical excess — Excess Ex*cess , n. [OE. exces, excess, ecstasy, L. excessus a going out, loss of self possession, fr. excedere, excessum, to go out, go beyond: cf. F. exc[ e]s. See {Exceed}.] 1. The state of surpassing or going beyond limits; the being of a… …   The Collaborative International Dictionary of English

  • spherical excess — noun : the amount by which the sum of the three angles of a spherical triangle exceeds two right angles …   Useful english dictionary

  • Spherical trigonometry — Spherical triangle Spherical trigonometry is a branch of spherical geometry which deals with polygons (especially triangles) on the sphere and the relationships between the sides and the angles. This is of great importance for calculations in… …   Wikipedia

  • Excess — Ex*cess , n. [OE. exces, excess, ecstasy, L. excessus a going out, loss of self possession, fr. excedere, excessum, to go out, go beyond: cf. F. exc[ e]s. See {Exceed}.] 1. The state of surpassing or going beyond limits; the being of a measure… …   The Collaborative International Dictionary of English

  • Spherical — Spher ic*al, Spheric Spher ic, a. [L. sphaericus, Gr. ???: cf. F. sph[ e]rique.] 1. Having the form of a sphere; like a sphere; globular; orbicular; as, a spherical body. [1913 Webster] 2. Of or pertaining to a sphere. [1913 Webster] 3. Of or… …   The Collaborative International Dictionary of English

  • Spherical angle — Spherical Spher ic*al, Spheric Spher ic, a. [L. sphaericus, Gr. ???: cf. F. sph[ e]rique.] 1. Having the form of a sphere; like a sphere; globular; orbicular; as, a spherical body. [1913 Webster] 2. Of or pertaining to a sphere. [1913 Webster] 3 …   The Collaborative International Dictionary of English

  • Spherical coordinate — Spherical Spher ic*al, Spheric Spher ic, a. [L. sphaericus, Gr. ???: cf. F. sph[ e]rique.] 1. Having the form of a sphere; like a sphere; globular; orbicular; as, a spherical body. [1913 Webster] 2. Of or pertaining to a sphere. [1913 Webster] 3 …   The Collaborative International Dictionary of English

  • Spherical geometry — Spherical Spher ic*al, Spheric Spher ic, a. [L. sphaericus, Gr. ???: cf. F. sph[ e]rique.] 1. Having the form of a sphere; like a sphere; globular; orbicular; as, a spherical body. [1913 Webster] 2. Of or pertaining to a sphere. [1913 Webster] 3 …   The Collaborative International Dictionary of English

  • Spherical harmonic analysis — Spherical Spher ic*al, Spheric Spher ic, a. [L. sphaericus, Gr. ???: cf. F. sph[ e]rique.] 1. Having the form of a sphere; like a sphere; globular; orbicular; as, a spherical body. [1913 Webster] 2. Of or pertaining to a sphere. [1913 Webster] 3 …   The Collaborative International Dictionary of English

  • Spherical lune — Spherical Spher ic*al, Spheric Spher ic, a. [L. sphaericus, Gr. ???: cf. F. sph[ e]rique.] 1. Having the form of a sphere; like a sphere; globular; orbicular; as, a spherical body. [1913 Webster] 2. Of or pertaining to a sphere. [1913 Webster] 3 …   The Collaborative International Dictionary of English

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