Definition of Spherical excess. Meaning of Spherical excess. Synonyms of Spherical excess
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Definition of Spherical excess
Spherical excess Excess Ex*cess", 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 prover; 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.
