OX or PY is the abscissa of the point P of the curve, OY or PX its ordinate, the intersecting lines OX and OY being the axes of abscissas and ordinates respectively, and the point O their origin. Abscissas and ordinates taken together are called co'94rdinates. When a point in space is referred to three axes having a common intersection, the abscissa may be the distance measured parallel to either of them, from the point to the plane of the other two axes. When referred to two intersecting axes, one of them called the axis of abscissas, or of X, and the other the axis of ordinates, or of Y, the abscissa of the point is the distance cut off from the axis of X by a line drawn through it and parallel to the axis of Y.
(Geom.) One of the elements of reference by which a point, as of a curve, is referred to a system of fixed rectilineal co'94rdinate axes.
One of the elements of reference by which a point, as ofĪ curve, is referred to a system of fixed rectilineal coordinate axes.Ībscissa Ab*scis"sa, n. In this way certain questions in geometry can be transformed into questions about numbers and resolved by means of analytic geometry.The value of a coordinate on the horizontal axis 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. Analogous systems may be defined for describing points in abstract spaces of four or more dimensions. 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). 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. 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). The point of intersection of these axes, which are called the coordinate axes, is known as the origin. 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. Cartesian coordinates (kärtēˈzhən), system for representing the relative positions of points in a plane or in space.
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