Spherical triangle

Spherical triangle
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 triangle — noun Date: 1585 a spherical polygon of three sides …   New Collegiate Dictionary

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  • spherical triangle — noun a triangle formed by three arcs of great circles on a sphere …   English new terms dictionary

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  • 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

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