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Axes of coordinates in a planeAxis Ax"is, n.; pl. Axes. [L. axis axis, axle. See Axle.]
A straight line, real or imaginary, passing through a body,
on which it revolves, or may be supposed to revolve; a line
passing through a body or system around which the parts are
symmetrically arranged.
2. (Math.) A straight line with respect to which the
different parts of a magnitude are symmetrically arranged;
as, the axis of a cylinder, i. e., the axis of a cone,
that is, the straight line joining the vertex and the
center of the base; the axis of a circle, any straight
line passing through the center.
3. (Bot.) The stem; the central part, or longitudinal
support, on which organs or parts are arranged; the
central line of any body. --Gray.
4. (Anat.)
(a) The second vertebra of the neck, or vertebra
dentata.
(b) Also used of the body only of the vertebra, which is
prolonged anteriorly within the foramen of the first
vertebra or atlas, so as to form the odontoid process
or peg which serves as a pivot for the atlas and head
to turn upon.
5. (Crystallog.) One of several imaginary lines, assumed in
describing the position of the planes by which a crystal
is bounded.
6. (Fine Arts) The primary or secondary central line of any
design.
Anticlinal axis (Geol.), a line or ridge from which the
strata slope downward on the two opposite sides.
Synclinal axis, a line from which the strata slope upward
in opposite directions, so as to form a valley.
Axis cylinder (Anat.), the neuraxis or essential, central
substance of a nerve fiber; -- called also axis band,
axial fiber, and cylinder axis.
Axis in peritrochio, the wheel and axle, one of the
mechanical powers.
Axis of a curve (Geom.), a straight line which bisects a
system of parallel chords of a curve; called a principal
axis, when cutting them at right angles, in which case it
divides the curve into two symmetrical portions, as in the
parabola, which has one such axis, the ellipse, which has
two, or the circle, which has an infinite number. The two
axes of the ellipse are the major axis and the minor
axis, and the two axes of the hyperbola are the
transverse axis and the conjugate axis.
Axis of a lens, the straight line passing through its
center and perpendicular to its surfaces.
Axis of a telescope or microscope, the straight line with
which coincide the axes of the several lenses which
compose it.
Axes of co["o]rdinates in a plane, two straight lines
intersecting each other, to which points are referred for
the purpose of determining their relative position: they
are either rectangular or oblique.
Axes of co["o]rdinates in space, the three straight lines
in which the co["o]rdinate planes intersect each other.
Axis of a balance, that line about which it turns.
Axis of oscillation, of a pendulum, a right line passing
through the center about which it vibrates, and
perpendicular to the plane of vibration.
Axis of polarization, the central line around which the
prismatic rings or curves are arranged. --Brewster.
Axis of revolution (Descriptive Geom.), a straight line
about which some line or plane is revolved, so that the
several points of the line or plane shall describe circles
with their centers in the fixed line, and their planes
perpendicular to it, the line describing a surface of
revolution, and the plane a solid of revolution.
Axis of symmetry (Geom.), any line in a plane figure which
divides the figure into two such parts that one part, when
folded over along the axis, shall coincide with the other
part.
Axis of the equator, ecliptic, horizon (or other circle
considered with reference to the sphere on which it lies),
the diameter of the sphere which is perpendicular to the
plane of the circle. --Hutton.
Axis of the Ionic capital (Arch.), a line passing
perpendicularly through the middle of the eye of the
volute.
Neutral axis (Mech.), the line of demarcation between the
horizontal elastic forces of tension and compression,
exerted by the fibers in any cross section of a girder.
Optic axis of a crystal, the direction in which a ray of
transmitted light suffers no double refraction. All
crystals, not of the isometric system, are either uniaxial
or biaxial.
Optic axis, Visual axis (Opt.), the straight line passing
through the center of the pupil, and perpendicular to the
surface of the eye.
Radical axis of two circles (Geom.), the straight line
perpendicular to the line joining their centers and such
that the tangents from any point of it to the two circles
shall be equal to each other.
Spiral axis (Arch.), the axis of a twisted column drawn
spirally in order to trace the circumvolutions without.
Axis of abscissas and Axis of ordinates. See Abscissa. Axes of coordinates in spaceAxis Ax"is, n.; pl. Axes. [L. axis axis, axle. See Axle.]
A straight line, real or imaginary, passing through a body,
on which it revolves, or may be supposed to revolve; a line
passing through a body or system around which the parts are
symmetrically arranged.
2. (Math.) A straight line with respect to which the
different parts of a magnitude are symmetrically arranged;
as, the axis of a cylinder, i. e., the axis of a cone,
that is, the straight line joining the vertex and the
center of the base; the axis of a circle, any straight
line passing through the center.
3. (Bot.) The stem; the central part, or longitudinal
support, on which organs or parts are arranged; the
central line of any body. --Gray.
4. (Anat.)
(a) The second vertebra of the neck, or vertebra
dentata.
(b) Also used of the body only of the vertebra, which is
prolonged anteriorly within the foramen of the first
vertebra or atlas, so as to form the odontoid process
or peg which serves as a pivot for the atlas and head
to turn upon.
5. (Crystallog.) One of several imaginary lines, assumed in
describing the position of the planes by which a crystal
is bounded.
6. (Fine Arts) The primary or secondary central line of any
design.
Anticlinal axis (Geol.), a line or ridge from which the
strata slope downward on the two opposite sides.
Synclinal axis, a line from which the strata slope upward
in opposite directions, so as to form a valley.
Axis cylinder (Anat.), the neuraxis or essential, central
substance of a nerve fiber; -- called also axis band,
axial fiber, and cylinder axis.
Axis in peritrochio, the wheel and axle, one of the
mechanical powers.
Axis of a curve (Geom.), a straight line which bisects a
system of parallel chords of a curve; called a principal
axis, when cutting them at right angles, in which case it
divides the curve into two symmetrical portions, as in the
parabola, which has one such axis, the ellipse, which has
two, or the circle, which has an infinite number. The two
axes of the ellipse are the major axis and the minor
axis, and the two axes of the hyperbola are the
transverse axis and the conjugate axis.
Axis of a lens, the straight line passing through its
center and perpendicular to its surfaces.
Axis of a telescope or microscope, the straight line with
which coincide the axes of the several lenses which
compose it.
Axes of co["o]rdinates in a plane, two straight lines
intersecting each other, to which points are referred for
the purpose of determining their relative position: they
are either rectangular or oblique.
Axes of co["o]rdinates in space, the three straight lines
in which the co["o]rdinate planes intersect each other.
Axis of a balance, that line about which it turns.
Axis of oscillation, of a pendulum, a right line passing
through the center about which it vibrates, and
perpendicular to the plane of vibration.
Axis of polarization, the central line around which the
prismatic rings or curves are arranged. --Brewster.
Axis of revolution (Descriptive Geom.), a straight line
about which some line or plane is revolved, so that the
several points of the line or plane shall describe circles
with their centers in the fixed line, and their planes
perpendicular to it, the line describing a surface of
revolution, and the plane a solid of revolution.
Axis of symmetry (Geom.), any line in a plane figure which
divides the figure into two such parts that one part, when
folded over along the axis, shall coincide with the other
part.
Axis of the equator, ecliptic, horizon (or other circle
considered with reference to the sphere on which it lies),
the diameter of the sphere which is perpendicular to the
plane of the circle. --Hutton.
Axis of the Ionic capital (Arch.), a line passing
perpendicularly through the middle of the eye of the
volute.
Neutral axis (Mech.), the line of demarcation between the
horizontal elastic forces of tension and compression,
exerted by the fibers in any cross section of a girder.
Optic axis of a crystal, the direction in which a ray of
transmitted light suffers no double refraction. All
crystals, not of the isometric system, are either uniaxial
or biaxial.
Optic axis, Visual axis (Opt.), the straight line passing
through the center of the pupil, and perpendicular to the
surface of the eye.
Radical axis of two circles (Geom.), the straight line
perpendicular to the line joining their centers and such
that the tangents from any point of it to the two circles
shall be equal to each other.
Spiral axis (Arch.), the axis of a twisted column drawn
spirally in order to trace the circumvolutions without.
Axis of abscissas and Axis of ordinates. See Abscissa. Cartesian coordinates Note: Co["o]rdinates 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
co["o]rdinate 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 co["o]rdinate axes, AX, AY, AZ, and measured
from the corresponding co["o]rdinate 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 co["o]rdinates. See under Cartesian.
Geographical co["o]rdinates, 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 co["o]rdinate.
Polar co["o]rdinates, co["o]rdinates 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 co["o]rdinates, co["o]rdinates the axes of
which intersect at right angles.
Rectilinear co["o]rdinates, co["o]rdinates made up of right
lines. Those defined in
(a) and
(c) above are called also Cartesian co["o]rdinates.
Trigonometrical or Spherical co["o]rdinates, 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 co["o]rdinates, co["o]rdinates 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. Cartesian coordinates Note: Co["o]rdinates 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
co["o]rdinate 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 co["o]rdinate axes, AX, AY, AZ, and measured
from the corresponding co["o]rdinate 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 co["o]rdinates. See under Cartesian.
Geographical co["o]rdinates, 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 co["o]rdinate.
Polar co["o]rdinates, co["o]rdinates 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 co["o]rdinates, co["o]rdinates the axes of
which intersect at right angles.
Rectilinear co["o]rdinates, co["o]rdinates made up of right
lines. Those defined in
(a) and
(c) above are called also Cartesian co["o]rdinates.
Trigonometrical or Spherical co["o]rdinates, 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 co["o]rdinates, co["o]rdinates 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. CoordinateCoordinate Co*["o]r"di*nate, a. [Pref. co- + L. ordinatus, p.
p. of ordinare to regulate. See Ordain.]
Equal in rank or order; not subordinate.
Whether there was one Supreme Governor of the world, or
many co["o]rdinate powers presiding over each country.
--Law.
Conjunctions joint sentences and co["o]rdinate terms.
--Rev. R.
Morris.
Co["o]rdinate adjectives, adjectives disconnected as
regards ane another, but referring equally to the same
subject.
Co["o]rdinate conjunctions, conjunctions joining
independent propositions. --Rev. R. Morris. CoordinateCoordinate Co*["o]r"di*nate (-n[=a]t), v. t. [imp. & p. p.
Co["o]rdinated; p. pr. & vb. n. Co["o]rdinating.]
1. To make co["o]rdinate; to put in the same order or rank;
as, to co["o]rdinate ideas in classification.
2. To give a common action, movement, or condition to; to
regulate and combine so as to produce harmonious action;
to adjust; to harmonize; as, to co["o]rdinate muscular
movements. CoordinateCoordinate Co*["o]r"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 co["o]rdinate 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 co["o]rdinate axes and co["o]rdinate planes. See
Abscissa. Coordinate adjectivesCoordinate Co*["o]r"di*nate, a. [Pref. co- + L. ordinatus, p.
p. of ordinare to regulate. See Ordain.]
Equal in rank or order; not subordinate.
Whether there was one Supreme Governor of the world, or
many co["o]rdinate powers presiding over each country.
--Law.
Conjunctions joint sentences and co["o]rdinate terms.
--Rev. R.
Morris.
Co["o]rdinate adjectives, adjectives disconnected as
regards ane another, but referring equally to the same
subject.
Co["o]rdinate conjunctions, conjunctions joining
independent propositions. --Rev. R. Morris. Coordinate conjunctionsCoordinate Co*["o]r"di*nate, a. [Pref. co- + L. ordinatus, p.
p. of ordinare to regulate. See Ordain.]
Equal in rank or order; not subordinate.
Whether there was one Supreme Governor of the world, or
many co["o]rdinate powers presiding over each country.
--Law.
Conjunctions joint sentences and co["o]rdinate terms.
--Rev. R.
Morris.
Co["o]rdinate adjectives, adjectives disconnected as
regards ane another, but referring equally to the same
subject.
Co["o]rdinate conjunctions, conjunctions joining
independent propositions. --Rev. R. Morris. coordinate geometryAnalytic An`a*lyt"ic, Analytical An`a*lyt"ic*al, a. [Gr. ?:
cf. F. analytique. See Analysis.]
Of or pertaining to analysis; resolving into elements or
constituent parts; as, an analytical experiment; analytic
reasoning; -- opposed to synthetic.
Analytical or co["o]rdinate geometry. See under
Geometry.
Analytic language, a noninflectional language or one not
characterized by grammatical endings.
Analytical table (Nat. Hist.), a table in which the
characteristics of the species or other groups are
arranged so as to facilitate the determination of their
names. CoordinatedCoordinate Co*["o]r"di*nate (-n[=a]t), v. t. [imp. & p. p.
Co["o]rdinated; p. pr. & vb. n. Co["o]rdinating.]
1. To make co["o]rdinate; to put in the same order or rank;
as, to co["o]rdinate ideas in classification.
2. To give a common action, movement, or condition to; to
regulate and combine so as to produce harmonious action;
to adjust; to harmonize; as, to co["o]rdinate muscular
movements. Coordinately
Coordinately Co*["o]r"di*nate*ly, adv.
In a co["o]rdinate manner.
Coordinateness
Coordinateness Co*["o]r"di*nate*ness, n.
The state of being co["o]rdinate; equality of rank or
authority.
CoordinatingCoordinate Co*["o]r"di*nate (-n[=a]t), v. t. [imp. & p. p.
Co["o]rdinated; p. pr. & vb. n. Co["o]rdinating.]
1. To make co["o]rdinate; to put in the same order or rank;
as, to co["o]rdinate ideas in classification.
2. To give a common action, movement, or condition to; to
regulate and combine so as to produce harmonious action;
to adjust; to harmonize; as, to co["o]rdinate muscular
movements. Coordination
Coordination Co*["o]r`di*na"tion, n.
1. The act of co["o]rdinating; the act of putting in the same
order, class, rank, dignity, etc.; as, the co["o]rdination
of the executive, the legislative, and the judicial
authority in forming a government; the act of regulating
and combining so as to produce harmonious results;
harmonious adjustment; as, a co["o]rdination of functions.
``Co["o]rdination of muscular movement by the
cerebellum.' --Carpenter.
2. The state of being co["o]rdinate, or of equal rank,
dignity, power, etc.
In this high court of parliament, there is a rare
co["o]rdination of power. --Howell.
Coordinative
Coordinative Co*["o]r"di*na*tive, a. (Gram.)
Expressing co["o]rdination. --J. W. Gibbs.
Geographical coordinates Note: Co["o]rdinates 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
co["o]rdinate 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 co["o]rdinate axes, AX, AY, AZ, and measured
from the corresponding co["o]rdinate 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 co["o]rdinates. See under Cartesian.
Geographical co["o]rdinates, 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 co["o]rdinate.
Polar co["o]rdinates, co["o]rdinates 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 co["o]rdinates, co["o]rdinates the axes of
which intersect at right angles.
Rectilinear co["o]rdinates, co["o]rdinates made up of right
lines. Those defined in
(a) and
(c) above are called also Cartesian co["o]rdinates.
Trigonometrical or Spherical co["o]rdinates, 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 co["o]rdinates, co["o]rdinates 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. Incoordinate
Incoordinate In`co*["o]r"di*nate, a.
Not co["o]rdinate.
IncoordinationIncoordination In`co*["o]r`di*na"tion, n.
Want of co["o]rdination; lack of harmonious adjustment or
action.
Inco["o]rdination of muscular movement (Physiol.),
irregularity in movements resulting from inharmonious
action of the muscles in consequence of loss of voluntary
control over them. Incoordination of muscular movementIncoordination In`co*["o]r`di*na"tion, n.
Want of co["o]rdination; lack of harmonious adjustment or
action.
Inco["o]rdination of muscular movement (Physiol.),
irregularity in movements resulting from inharmonious
action of the muscles in consequence of loss of voluntary
control over them. Oblique system of coordinates Oblique muscle (Anat.), a muscle acting in a direction
oblique to the mesial plane of the body, or to the
associated muscles; -- applied especially to two muscles
of the eyeball.
Oblique narration. See Oblique speech.
Oblique planes (Dialing), planes which decline from the
zenith, or incline toward the horizon.
Oblique sailing (Naut.), the movement of a ship when she
sails upon some rhumb between the four cardinal points,
making an oblique angle with the meridian.
Oblique speech (Rhet.), speech which is quoted indirectly,
or in a different person from that employed by the
original speaker.
Oblique sphere (Astron. & Geog.), the celestial or
terrestrial sphere when its axis is oblique to the horizon
of the place; or as it appears to an observer at any point
on the earth except the poles and the equator.
Oblique step (Mil.), a step in marching, by which the
soldier, while advancing, gradually takes ground to the
right or left at an angle of about 25[deg]. It is not now
practiced. --Wilhelm.
Oblique system of co["o]rdinates (Anal. Geom.), a system in
which the co["o]rdinate axes are oblique to each other. Polar coordinates Note: Co["o]rdinates 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
co["o]rdinate 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 co["o]rdinate axes, AX, AY, AZ, and measured
from the corresponding co["o]rdinate 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 co["o]rdinates. See under Cartesian.
Geographical co["o]rdinates, 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 co["o]rdinate.
Polar co["o]rdinates, co["o]rdinates 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 co["o]rdinates, co["o]rdinates the axes of
which intersect at right angles.
Rectilinear co["o]rdinates, co["o]rdinates made up of right
lines. Those defined in
(a) and
(c) above are called also Cartesian co["o]rdinates.
Trigonometrical or Spherical co["o]rdinates, 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 co["o]rdinates, co["o]rdinates 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. Primitive axes of coordinatePrimitive Prim"i*tive, a. [L. primitivus, fr. primus the
first: cf. F. primitif. See Prime, a.]
1. Of or pertaining to the beginning or origin, or to early
times; original; primordial; primeval; first; as,
primitive innocence; the primitive church. ``Our primitive
great sire.' --Milton.
2. Of or pertaining to a former time; old-fashioned;
characterized by simplicity; as, a primitive style of
dress.
3. Original; primary; radical; not derived; as, primitive
verb in grammar.
Primitive axes of co["o]rdinate (Geom.), that system of
axes to which the points of a magnitude are first
referred, with reference to a second set or system, to
which they are afterward referred.
Primitive chord (Mus.), that chord, the lowest note of
which is of the same literal denomination as the
fundamental base of the harmony; -- opposed to derivative.
--Moore (Encyc. of Music).
Primitive circle (Spherical Projection), the circle cut
from the sphere to be projected, by the primitive plane.
Primitive colors (Paint.), primary colors. See under
Color.
Primitive Fathers (Eccl.), the acknowledged Christian
writers who flourished before the Council of Nice, A. D.
325. --Shipley.
Primitive groove (Anat.), a depression or groove in the
epiblast of the primitive streak. It is not connected with
the medullary groove, which appears later and in front of
it.
Primitive plane (Spherical Projection), the plane upon
which the projections are made, generally coinciding with
some principal circle of the sphere, as the equator or a
meridian.
Primitive rocks (Geol.), primary rocks. See under
Primary.
Primitive sheath. (Anat.) See Neurilemma.
Primitive streak or trace (Anat.), an opaque and
thickened band where the mesoblast first appears in the
vertebrate blastoderm.
Syn: First; original; radical; pristine; ancient; primeval;
antiquated; old-fashioned. Rectangular coordinates Note: Co["o]rdinates 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
co["o]rdinate 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 co["o]rdinate axes, AX, AY, AZ, and measured
from the corresponding co["o]rdinate 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 co["o]rdinates. See under Cartesian.
Geographical co["o]rdinates, 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 co["o]rdinate.
Polar co["o]rdinates, co["o]rdinates 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 co["o]rdinates, co["o]rdinates the axes of
which intersect at right angles.
Rectilinear co["o]rdinates, co["o]rdinates made up of right
lines. Those defined in
(a) and
(c) above are called also Cartesian co["o]rdinates.
Trigonometrical or Spherical co["o]rdinates, 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 co["o]rdinates, co["o]rdinates 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. Rectilinear coordinates Note: Co["o]rdinates 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
co["o]rdinate 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 co["o]rdinate axes, AX, AY, AZ, and measured
from the corresponding co["o]rdinate 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 co["o]rdinates. See under Cartesian.
Geographical co["o]rdinates, 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 co["o]rdinate.
Polar co["o]rdinates, co["o]rdinates 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 co["o]rdinates, co["o]rdinates the axes of
which intersect at right angles.
Rectilinear co["o]rdinates, co["o]rdinates made up of right
lines. Those defined in
(a) and
(c) above are called also Cartesian co["o]rdinates.
Trigonometrical or Spherical co["o]rdinates, 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 co["o]rdinates, co["o]rdinates 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. Spherical coordinates Note: Co["o]rdinates 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
co["o]rdinate 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 co["o]rdinate axes, AX, AY, AZ, and measured
from the corresponding co["o]rdinate 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 co["o]rdinates. See under Cartesian.
Geographical co["o]rdinates, 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 co["o]rdinate.
Polar co["o]rdinates, co["o]rdinates 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 co["o]rdinates, co["o]rdinates the axes of
which intersect at right angles.
Rectilinear co["o]rdinates, co["o]rdinates made up of right
lines. Those defined in
(a) and
(c) above are called also Cartesian co["o]rdinates.
Trigonometrical or Spherical co["o]rdinates, 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 co["o]rdinates, co["o]rdinates 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. Trilinear coordinates Note: Co["o]rdinates 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
co["o]rdinate 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 co["o]rdinate axes, AX, AY, AZ, and measured
from the corresponding co["o]rdinate 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 co["o]rdinates. See under Cartesian.
Geographical co["o]rdinates, 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 co["o]rdinate.
Polar co["o]rdinates, co["o]rdinates 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 co["o]rdinates, co["o]rdinates the axes of
which intersect at right angles.
Rectilinear co["o]rdinates, co["o]rdinates made up of right
lines. Those defined in
(a) and
(c) above are called also Cartesian co["o]rdinates.
Trigonometrical or Spherical co["o]rdinates, 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 co["o]rdinates, co["o]rdinates 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.
Meaning of Coordinat from wikipedia
