The Collaborative International Dictionary of English v.0.48:

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.
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   2. Of or pertaining to a sphere.
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   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.
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            Knaves, thieves, and treachers by spherical
            predominance.                         --Shak.
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            Though the stars were suns, and overburned
            Their spheric limitations.            --Mrs.
                                                  Browning.
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   Spherical angle, Spherical coordinate, 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.
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WordNet (r) 3.0 (2006):

spherical geometry
    n 1: (mathematics) the geometry of figures on the surface of a
         sphere