Spherical geometry

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. 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 geometry — is the geometry of the two dimensional surface of a sphere. It is an example of a non Euclidean geometry. Two practical applications of the principles of spherical geometry are navigation and astronomy.In plane geometry the basic concepts are… …   Wikipedia

  • spherical geometry — n. the study of the geometry of figures drawn on a sphere …   English World dictionary

  • spherical geometry — noun (mathematics) the geometry of figures on the surface of a sphere • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑geometry * * * noun : the geometry of figures on …   Useful english dictionary

  • spherical geometry — the branch of geometry that deals with figures on spherical surfaces. [1720 30] * * * …   Universalium

  • spherical geometry — spher′ical geom′etry n. math. the branch of geometry that deals with figures on spherical surfaces • Etymology: 1720–30 …   From formal English to slang

  • spherical geometry — noun Date: 1728 the geometry of figures on a sphere …   New Collegiate Dictionary

  • spherical geometry — noun The non Euclidean geometry on the surface of a sphere …   Wiktionary

  • 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

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