spherical coordinate system

spherical coordinate system
In geometry, a coordinate system in which any point in three-dimensional space is specified by its angle with respect to a polar axis and angle of rotation with respect to a prime meridian on a sphere of a given radius.

In spherical coordinates a point is specified by the triplet (r, θ, φ), where r is the point's distance from the origin (the radius), θ is the angle of rotation from the initial meridian plane, and φ is the angle from the polar axis (analogous to a ray from the origin through the North Pole).

* * *


Universalium. 2010.

Игры ⚽ Нужно сделать НИР?

Look at other dictionaries:

  • Spherical coordinate system — In mathematics, the spherical coordinate system is a coordinate system for representing geometric figures in three dimensions using three coordinates: the radial distance of a point from a fixed origin, the zenith angle from the positive z axis… …   Wikipedia

  • spherical coordinate system — sferinė koordinačių sistema statusas T sritis fizika atitikmenys: angl. spherical coordinate system vok. Kugelkoordinatensystem, n rus. сферическая система координат, f pranc. système de coordonnées sphérique, m …   Fizikos terminų žodynas

  • Coordinate system — For geographical coordinates on Wikipedia, see Wikipedia:WikiProject Geographical coordinates. In geometry, a coordinate system is a system which uses one or more numbers, or coordinates, to uniquely determine the position of a point or other… …   Wikipedia

  • Polar coordinate system — Points in the polar coordinate system with pole O and polar axis L. In green, the point with radial coordinate 3 and angular coordinate 60 …   Wikipedia

  • Cylindrical coordinate system — A cylindrical coordinate system with origin O, polar axis A, and longitudinal axis L. The dot is the point with radial distance ρ = 4, angular coordinate φ = 130°, and height z = 4. A cylindrical coordinate system is …   Wikipedia

  • Geographic coordinate system — Map of Earth showing lines of latitude (horizontally) and longitude (vertically), Eckert VI projection; large version (pdf, 3.12MB) …   Wikipedia

  • Cartesian coordinate system — Illustration of a Cartesian coordinate plane. Four points are marked and labeled with their coordinates: (2, 3) in green, (−3, 1) in red, (−1.5, −2.5) in blue, and the origin (0, 0) in purple. A Cartesian coordinate system specifies each point… …   Wikipedia

  • Supergalactic coordinate system — Supergalactic coordinates are coordinates in a spherical coordinate system which was designed to have its equator aligned with the supergalactic plane, a major structure in the local universe formed by the preferential distribution of nearby… …   Wikipedia

  • coordinate system — Math. any method that uses numbers to represent a point, line, or the like. * * * Arrangement of reference lines or curves used to identify the location of points in space. In two dimensions, the most common system is the Cartesian (after René… …   Universalium

  • spherical coordinate — noun : any of three coordinates in space two being obtained by constructing in a plane a polar coordinate system and the third being the angle between this plane and a fixed plane containing the polar axis …   Useful english dictionary

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”