Spher·ic·al Spher·ic a.
 1. Having the form of a sphere; like a sphere; globular; orbicular; as, a spherical body.
 2. Of or pertaining to a sphere.
 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.
    Knaves, thieves, and treachers by spherical predominance.   --Shak.
 Though the stars were suns, and overburned
 Their spheric limitations.   --Mrs. Browning.
 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.
 -- Spher*ic*al*ly, adv. -- Spher*ic*al*ness, n.

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 Ex·cess n.
 1. The state of surpassing or going beyond limits; the being of a measure beyond sufficiency, necessity, or duty; that which exceeds what is usual or proper; immoderateness; superfluity; superabundance; extravagance; as, an excess of provisions or of light.
 To gild refined gold, to paint the lily,
 To throw a perfume on the violet, . . .
 Is wasteful and ridiculous excess.   --Shak.
    That kills me with excess of grief, this with excess of joy.   --Walsh.
 2. An undue indulgence of the appetite; transgression of proper moderation in natural gratifications; intemperance; dissipation.
    Be not drunk with wine, wherein is excess.   --Eph. v. 18.
 Thy desire . . . leads to no excess
 That reaches blame.   --Milton.
 3. The degree or amount by which one thing or number exceeds another; remainder; as, the difference between two numbers is the excess of one over the other.
 Spherical excess Geom., the amount by which the sum of the three angles of a spherical triangle exceeds two right angles. The spherical excess is proportional to the area of the triangle.

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