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 proper; immoderateness; superfluity; superabundance; extravagance; as, an excess of provisions or of light. [1913 Webster]

To gild refined gold, to paint the lily, To throw a perfume on the violet, . . . Is wasteful and ridiculous excess. --Shak. [1913 Webster]

That kills me with excess of grief, this with excess of joy. --Walsh. [1913 Webster]

2. An undue indulgence of the appetite; transgression of proper moderation in natural gratifications; intemperance; dissipation. [1913 Webster]

Be not drunk with wine, wherein is excess. --Eph. v. 18. [1913 Webster]

Thy desire . . . leads to no excess That reaches blame. --Milton. [1913 Webster]

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. [1913 Webster]

{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. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Spherical excess — 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

  • spherical excess — noun : the amount by which the sum of the three angles of a spherical triangle exceeds two right angles …   Useful english dictionary

  • 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

  • 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… …   The Collaborative International Dictionary of English

  • 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

  • Spherical coordinate — 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

  • 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 …   The Collaborative International Dictionary of English

  • Spherical harmonic analysis — 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

  • Spherical lune — 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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