Found 1 items, similar to Spherical excess.
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Definition: Spherical excess
, 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.
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
Though the stars were suns, and overburned
Their spheric limitations. --Mrs.
, Spherical co["o]rdinate
, Spherical excess
, etc. See under Angle
, 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
,portion of the surface of a sphere included
between two great semicircles having a common diameter.
, 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.
,portion of the surface of a sphere
bounded by the arcs of three or more great circles.
, the projection of the circles of the
sphere upon a plane. See Projection
. See under Sector
, the segment of a sphere. See under
,re on the surface of a sphere, bounded
by the arcs of three great circles which intersect each
. See Trigonometry
[1913 Webster] -- Spher"ic*al*ly
, adv. --
, n. [OE. exces, excess, ecstasy, L. excessus a
going out, loss of self-possession, fr. excedere, excessum,
to go out, go beyond: cf. F. exc[`e]s. See Exceed
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;
Be not drunk with wine, wherein is excess. --Eph. v.
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.
(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.