polar coordinates


polar coordinates
a system of coordinates for locating a point in a plane by the length of its radius vector and the angle this vector makes with the polar axis (polar angle).
[1810-20]

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      system of locating points in a plane with reference to a fixed point (origin) and an axis through that point. The coordinates are written (r,θ), in which r is the distance from the origin to any desired point and θ is the angle made by the vector r and the axis. A simple relationship exists between Cartesian coordinates given in terms of two reference axes (x,y) and the polar coordinates (r,θ), namely: x = r cos θ, and y = r sin θ.

      Polar coordinates, like Cartesian coordinates, may also be used to locate points in three-dimensional space. The system used involves again the radius vector r, which gives distance from the origin, the angle θ, measured between r and the z axis, and a second angle ϕ, measured between the x axis and the projection of r in the x,y plane. This system is essentially identical to that of spherical coordinates; points on Earth, for example, are located in terms of latitude and longitude, which express angles measured with respect to the axis of the Earth's rotation and with respect to an arbitrary reference of longitude (the Greenwich meridian).

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Universalium. 2010.

Look at other dictionaries:

  • polar coordinates — n. a pair of numbers that locate a point in a plane: one is the distance of the point from a fixed point on a fixed line, and the other is the angle made by the fixed line with the line connecting the two points …   English World dictionary

  • polar coordinates — The coordinates derived from the distance and angular measurements from a fixed point (i.e., pole). Polar coordinates are almost always used in plotting antenna direction patterns. topographical maps, radio aids, and meteorological charts for use …   Aviation dictionary

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  • polar coordinates — polinės koordinatės statusas T sritis Gynyba apibrėžtis (artilerija). Kryptis, nuotolis ir vertikalus nuokrypis nuo stebėtojo į taikinį. atitikmenys: angl. polar coordinates rus. полярные координаты …   Artilerijos terminų žodynas

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  • polar coordinates — polinės koordinatės statusas T sritis fizika atitikmenys: angl. polar coordinates vok. Polarkoordinaten, f rus. полярные координаты, f pranc. coordonnées polaires, f …   Fizikos terminų žodynas

  • polar coordinates — polinės koordinatės statusas T sritis Gynyba apibrėžtis Antžeminės ir jūrų artilerijos paramos ugnimi metu – nustatytas iš stebėtojo pozicijos krypties, nuotolio ir aukščio nuokrypis nuo taikinio. atitikmenys: angl. polar coordinates pranc.… …   NATO terminų aiškinamasis žodynas

  • polar coordinates — polinės koordinatės statusas T sritis Gynyba apibrėžtis Atstumo ir kampo koordinatės, apskaičiuotos nuo pasirinkto taško (poliaus) ir krypties (žemėlapio tinklas, magnetinė kryptis į šiaurę). atitikmenys: angl. polar coordinates pranc.… …   NATO terminų aiškinamasis žodynas

  • Polar coordinates — Polar Po lar, a. [Cf. F. polaire. See {Pole} of the earth.] 1. Of or pertaining to one of the poles of the earth, or of a sphere; situated near, or proceeding from, one of the poles; as, polar regions; polar seas; polar winds. [1913 Webster] 2.… …   The Collaborative International Dictionary of English

  • polar coordinates — Math. a system of coordinates for locating a point in a plane by the length of its radius vector and the angle this vector makes with the polar axis (polar angle). [1810 20] …   Useful english dictionary


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