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1 definition found
From:
Webster's Revised Unabridged Dictionary (1913)
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
coordinate
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
coordinate
axes
and
coordinate
planes
.
See
Abscissa
.
Note:
☞
Coordinates
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
coordinate
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
coordinate
axes
,
AX
,
AY
,
AZ
,
and
measured
from
the
corresponding
coordinate
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
.
Cartesian coordinates
.
See
under
Cartesian
.
Geographical coordinates
,
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
coordinate
.
Polar coordinates
,
coordinates
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 coordinates
,
coordinates
the
axes
of
which
intersect
at
right
angles
.
Rectilinear coordinates
,
coordinates
made
up
of
right
lines
.
Those
defined
in
(a)
and
(c)
above
are
called
also
Cartesian coordinates
.
Trigonometrical coordinates
or
Spherical coordinates
,
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 coordinates
,
coordinates
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
.
She
was
usually
good
with
her
hands
and
well
coordinated
.
--
Mary
McCarthy
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