Spherical polygon

Spherical polygon
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 polygon — n. a closed figure on the surface of a sphere bounded by the arcs of three or more great circles …   English World dictionary

  • spherical polygon — noun a figure on the surface of a sphere bounded by arcs of 3 or more great circles • Hypernyms: ↑polygon, ↑polygonal shape • Hyponyms: ↑spherical triangle * * * noun : a figure analogous to a plane polygon that is formed on a sphere by arcs of… …   Useful english dictionary

  • spherical polygon — noun Date: circa 1825 a figure analogous to a plane polygon that is formed on a sphere by arcs of great circles …   New Collegiate Dictionary

  • spherical polygon — Geom. a closed figure formed by arcs of great circles on a spherical surface. [1715 25] * * * …   Universalium

  • spherical polygon — spher′ical pol′ygon n. math. a closed geometrical figure formed by arcs of great circles on a spherical surface • Etymology: 1715–25 …   From formal English to slang

  • 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

  • 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 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 …   The Collaborative International Dictionary of English

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