Cartesian coordinates

pl n (Mathematics) a system of representing points in space in terms of their distance from a given origin measured along a set of mutually perpendicular axes. Written (x,y,z) with reference to three axes

Carte′sian coor′dinates

n.pl. a system of coordinates for locating a point on a plane by its distance from each of two intersecting lines, or in space by its distance from each of three planes intersecting at a point. Compare x-axis, y-axis, z-axis. [1885–90]

cartesian coordinates

A coordinate system in which locations of points in space are expressed by reference to three mutually perpendicular planes, called coordinate planes. The three planes intersect in three straight lines called coordinate axes. See also coordinates.

Cartesian coordinates

(kärtē`zhən) [for René DescartesDescartes, René
, Lat. Renatus Cartesius, 1596–1650, French philosopher, mathematician, and scientist, b. La Haye. Descartes' methodology was a major influence in the transition from medieval science and philosophy to the modern era.
..... Click the link for more information. ], system for representing the relative positions of points in a plane or in space. In a plane, the point P is specified by the pair of numbers (x,y) representing the distances of the point from two intersecting straight lines, referred to as the x-axis and the y-axis. The point of intersection of these axes, which are called the coordinate axes, is known as the origin. In rectangular coordinates, the type most often used, the axes are taken to be perpendicular, with the x-axis horizontal and the y-axis vertical, so that the x-coordinate, or abscissa, of P is measured along the horizontal perpendicular from P to the y-axis (i.e., parallel to the x-axis) and the y-coordinate, or ordinate, is measured along the vertical perpendicular from P to the x-axis (parallel to the y-axis). In oblique coordinates the axes are not perpendicular; the abscissa of P is measured along a parallel to the x-axis, and the ordinate is measured along a parallel to the y-axis, but neither of these parallels is perpendicular to the other coordinate axis as in rectangular coordinates. Similarly, a point in space may be specified by the triple of numbers (x,y,z) representing the distances from three planes determined by three intersecting straight lines not all in the same plane; i.e., the x-coordinate represents the distance from the yz-plane measured along a parallel to the x-axis, the y-coordinate represents the distance from the xz-plane measured along a parallel to the y-axis, and the z-coordinate represents the distance from the xy-plane measured along a parallel to the z-axis (the axes are usually taken to be mutually perpendicular). Analogous systems may be defined for describing points in abstract spaces of four or more dimensions. Many of the curves studied in classical geometry can be described as the set of points (x,y) that satisfy some equation f(x,y)=0. In this way certain questions in geometry can be transformed into questions about numbers and resolved by means of analytic geometryanalytic geometry,
branch of geometry in which points are represented with respect to a coordinate system, such as Cartesian coordinates, and in which the approach to geometric problems is primarily algebraic.
..... Click the link for more information. .

Cartesian Coordinates

a rectilinear system of coordinates in a plane or in space (usually with identical scales on both axes). R. Descartes himself used only a system of coordinates in a plane (generally oblique) in the work Geometry (1637). Often the Cartesian coordinates are understood to mean the rectangular Cartesian coordinates, while the general Cartesian coordinates are called an affine system of coordinates.

cartesian coordinates

[kär′tē·zhən kō′ȯrd·nəts] (mathematics) The set of numbers which locate a point in space with respect to a collection of mutually perpendicular axes. rectangular coordinates

Cartesian coordinates

(mathematics, graphics)(After Renee Descartes, Frenchphilosopher and mathematician) A pair of numbers, (x, y),defining the position of a point in a two-dimensional space byits perpendicular projection onto two axes which are at rightangles to each other. x and y are also known as theabscissa and ordinate.

The idea can be generalised to any number of independent axes.

Compare polar coordinates.

单词	cartesian coordinates
释义	Cartesian coordinates Cartesian coordinates pl n (Mathematics) a system of representing points in space in terms of their distance from a given origin measured along a set of mutually perpendicular axes. Written (x,y,z) with reference to three axes Carte′sian coor′dinates n.pl. a system of coordinates for locating a point on a plane by its distance from each of two intersecting lines, or in space by its distance from each of three planes intersecting at a point. Compare x-axis, y-axis, z-axis. [1885–90] cartesian coordinates A coordinate system in which locations of points in space are expressed by reference to three mutually perpendicular planes, called coordinate planes. The three planes intersect in three straight lines called coordinate axes. See also coordinates. Cartesian coordinates Cartesian coordinates (kärtē`zhən) [for René DescartesDescartes, René , Lat. Renatus Cartesius, 1596–1650, French philosopher, mathematician, and scientist, b. La Haye. Descartes' methodology was a major influence in the transition from medieval science and philosophy to the modern era. ..... Click the link for more information. ], system for representing the relative positions of points in a plane or in space. In a plane, the point P is specified by the pair of numbers (x,y) representing the distances of the point from two intersecting straight lines, referred to as the x-axis and the y-axis. The point of intersection of these axes, which are called the coordinate axes, is known as the origin. In rectangular coordinates, the type most often used, the axes are taken to be perpendicular, with the x-axis horizontal and the y-axis vertical, so that the x-coordinate, or abscissa, of P is measured along the horizontal perpendicular from P to the y-axis (i.e., parallel to the x-axis) and the y-coordinate, or ordinate, is measured along the vertical perpendicular from P to the x-axis (parallel to the y-axis). In oblique coordinates the axes are not perpendicular; the abscissa of P is measured along a parallel to the x-axis, and the ordinate is measured along a parallel to the y-axis, but neither of these parallels is perpendicular to the other coordinate axis as in rectangular coordinates. Similarly, a point in space may be specified by the triple of numbers (x,y,z) representing the distances from three planes determined by three intersecting straight lines not all in the same plane; i.e., the x-coordinate represents the distance from the yz-plane measured along a parallel to the x-axis, the y-coordinate represents the distance from the xz-plane measured along a parallel to the y-axis, and the z-coordinate represents the distance from the xy-plane measured along a parallel to the z-axis (the axes are usually taken to be mutually perpendicular). Analogous systems may be defined for describing points in abstract spaces of four or more dimensions. Many of the curves studied in classical geometry can be described as the set of points (x,y) that satisfy some equation f(x,y)=0. In this way certain questions in geometry can be transformed into questions about numbers and resolved by means of analytic geometryanalytic geometry, branch of geometry in which points are represented with respect to a coordinate system, such as Cartesian coordinates, and in which the approach to geometric problems is primarily algebraic. ..... Click the link for more information. . Cartesian Coordinates a rectilinear system of coordinates in a plane or in space (usually with identical scales on both axes). R. Descartes himself used only a system of coordinates in a plane (generally oblique) in the work Geometry (1637). Often the Cartesian coordinates are understood to mean the rectangular Cartesian coordinates, while the general Cartesian coordinates are called an affine system of coordinates. cartesian coordinates [kär′tē·zhən kō′ȯrd·nəts] (mathematics) The set of numbers which locate a point in space with respect to a collection of mutually perpendicular axes. rectangular coordinates Cartesian coordinates (mathematics, graphics)(After Renee Descartes, Frenchphilosopher and mathematician) A pair of numbers, (x, y),defining the position of a point in a two-dimensional space byits perpendicular projection onto two axes which are at rightangles to each other. x and y are also known as theabscissa and ordinate. The idea can be generalised to any number of independent axes. Compare polar coordinates. MedicalSeeabscissaThesaurusSeeCartesian coordinate
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