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"Section C"


Co*ör"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.


It has neither coördinate nor
analogon; it is absolutely one.

Coleridge.


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 coördinate axes and
coördinate planes. See Abscissa.

&fist; Coördinates 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 coördinate 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 coördinate axes, AX, AY, AZ, and
measured from the corresponding coördinate fixed planes,
YAZ, XAZ, XAY, to any point in space, P, whose position is
thereby determined with respect to these planes and axes.


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