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For any point, the abscissa is the first value (x coordinate), and the ordinate is the second value (y coordinate). In mathematics , the abscissa ( / æ b ˈ s ɪ s . ə / ; plural abscissae or abscissas ) and the ordinate are respectively the first and second coordinate of a point in a Cartesian coordinate system : [ 1 ] [ 2 ]
When the abscissa and ordinate are on the same scale, the identity line forms a 45° angle with the abscissa, and is thus also, informally, called the 45° line. [5] The line is often used as a reference in a 2-dimensional scatter plot comparing two sets of data expected to be identical under ideal conditions. When the corresponding data points ...
Each axis is usually named after the coordinate which is measured along it; so one says the x-axis, the y-axis, the t-axis, etc. Another common convention for coordinate naming is to use subscripts, as (x 1, x 2, ..., x n) for the n coordinates in an n-dimensional space, especially when n is greater than 3 or unspecified
The Earth-centered, Earth-fixed coordinate system (acronym ECEF), also known as the geocentric coordinate system, is a cartesian spatial reference system that represents locations in the vicinity of the Earth (including its surface, interior, atmosphere, and surrounding outer space) as X, Y, and Z measurements from its center of mass.
The four quadrants of a Cartesian coordinate system. The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes.
The local (non-unit) basis vector is b 1 (notated h 1 above, with b reserved for unit vectors) and it is built on the q 1 axis which is a tangent to that coordinate line at the point P. The axis q 1 and thus the vector b 1 form an angle with the Cartesian x axis and the Cartesian basis vector e 1. It can be seen from triangle PAB that
Both authors used a single axis in their treatments, with the lengths of ordinates measured along lines not-necessarily-perpendicular to that axis. [2] The concept of using a pair of fixed axes was introduced later, after Descartes' La Géométrie was translated into Latin in 1649 by Frans van Schooten and his students.
The entire point of referring to these axes as "abscissa and ordinate" is for free yourself from a specific reference. Yes, it is usual -- in cartesian coordinates -- that the abscissa is x and the ordinate is y, but that's not *always* the case (consider for example action occurring in the y-z plane or the z-x plane).