Polar coordinates
Coordinate Co*["o]r"di*nate, n. 1. A thing of the same rank with another thing; one two or more persons or things of equal rank, authority, or importance. [1913 Webster]

It has neither co["o]rdinate nor analogon; it is absolutely one. --Coleridge. [1913 Webster]

2. pl. (Math.) Lines, or other elements of reference, by means of which the position of any point, as of a curve, is defined with respect to certain fixed lines, or planes, called co["o]rdinate axes and co["o]rdinate planes. See {Abscissa}.

Note: Co["o]rdinates are of several kinds, consisting in some of the different cases, of the following elements, namely: (a) (Geom. of Two Dimensions) The abscissa and ordinate of any point, taken together; as the abscissa PY and ordinate PX of the point P (Fig. 2, referred to the co["o]rdinate axes AY and AX. (b) Any radius vector PA (Fig. 1), together with its angle of inclination to a fixed line, APX, by which any point A in the same plane is referred to that fixed line, and a fixed point in it, called the pole, P. (c) (Geom. of Three Dimensions) Any three lines, or distances, PB, PC, PD (Fig. 3), taken parallel to three co["o]rdinate axes, AX, AY, AZ, and measured from the corresponding co["o]rdinate fixed planes, YAZ, XAZ, XAY, to any point in space, P, whose position is thereby determined with respect to these planes and axes. (d) A radius vector, the angle which it makes with a fixed plane, and the angle which its projection on the plane makes with a fixed line line in the plane, by which means any point in space at the free extremity of the radius vector is referred to that fixed plane and fixed line, and a fixed point in that line, the pole of the radius vector. [1913 Webster]

{Cartesian co["o]rdinates}. See under {Cartesian}.

{Geographical co["o]rdinates}, the latitude and longitude of a place, by which its relative situation on the globe is known. The height of the above the sea level constitutes a third co["o]rdinate.

{Polar co["o]rdinates}, co["o]rdinates made up of a radius vector and its angle of inclination to another line, or a line and plane; as those defined in (b) and (d) above.

{Rectangular co["o]rdinates}, co["o]rdinates the axes of which intersect at right angles.

{Rectilinear co["o]rdinates}, co["o]rdinates made up of right lines. Those defined in (a) and (c) above are called also {Cartesian co["o]rdinates}.

{Trigonometrical co["o]rdinates} or {Spherical co["o]rdinates}, elements of reference, by means of which the position of a point on the surface of a sphere may be determined with respect to two great circles of the sphere.

{Trilinear co["o]rdinates}, co["o]rdinates of a point in a plane, consisting of the three ratios which the three distances of the point from three fixed lines have one to another. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

### 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 — 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] * * *       system of locating points in a plane with reference to a… …   Universalium

• 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

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

• 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

• polar coordinates — polinės koordinatės statusas T sritis Gynyba apibrėžtis Koordinatės, kai atstumas ir kampas išmatuoti nuo pasirinkto taško (krypties). atitikmenys: angl. polar coordinates rus. полярные координаты …   Artilerijos terminų žodynas

• 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