Definition of Spherical excess. Meaning of Spherical excess. Synonyms of Spherical excess

Here you will find one or more explanations in English for the word Spherical excess. Also in the bottom left of the page several parts of wikipedia pages related to the word Spherical excess and, of course, Spherical excess synonyms and on the right images related to the word Spherical excess.

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.

Meaning of Spherical excess from wikipedia

- Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles...
- Look up excess or excessive in Wiktionary, the free dictionary. Excess may refer to: Angle excess, in spherical trigonometry Insurance excess, similar...
- radiometric quantities radiant intensity and radiance Calculating spherical excess E of a spherical triangle The calculation of potentials by using the boundary...
- angle at the vertex (the spherical excess), which is related to the sum of the dihedral angles, or by the angular defect (or excess) of the vertex, which...
- called spherical excess or solid angle measure. The angle measure of a complete great circle is 2π{\displaystyle 2\pi } radians, and the spherical excess of...
- the spherical triangle exceed the corresponding angles of the planar triangle by approximately one third of the spherical excess (the spherical excess is...
- Spherical geometry or spherics (from Ancient Gr**** σφαιρικά) is the geometry of the two-dimensional surface of a sphere or the n-dimensional surface of...
- {\displaystyle \Omega =q\theta -(q-2)\pi .\,} This follows from the spherical excess formula for a spherical polygon and the fact that the vertex figure of the polyhedron...
- dividing squared side length by the spherical excess E , {\displaystyle E,} we obtain a non-vanishing ratio, the spherical trigonometry relation: tan 2 ⁡ 1...
- (coordinated) points. In geodetic operations the observations are adjusted for spherical excess and projection variations. Precise angular measurements between lines...