| slovo | definícia |
coordinates
(encz) | coordinates,koordinuje v: Zdeněk Brož |
coordinates
(encz) | coordinates,souřadnice n: Zdeněk Brož |
| | podobné slovo | definícia |
coordinates
(encz) | coordinates,koordinuje v: Zdeněk Brožcoordinates,souřadnice n: Zdeněk Brož |
Axes of coordinates in a plane
(gcide) | Axis \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.
[1913 Webster]
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.
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3. (Bot.) The stem; the central part, or longitudinal
support, on which organs or parts are arranged; the
central line of any body. --Gray.
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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.
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5. (Crystallog.) One of several imaginary lines, assumed in
describing the position of the planes by which a crystal
is bounded.
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6. (Fine Arts) The primary or secondary central line of any
design.
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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 microscope or Axis of a telescope, 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.
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Axes of coordinates in space
(gcide) | Axis \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.
[1913 Webster]
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.
[1913 Webster]
3. (Bot.) The stem; the central part, or longitudinal
support, on which organs or parts are arranged; the
central line of any body. --Gray.
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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.
[1913 Webster]
5. (Crystallog.) One of several imaginary lines, assumed in
describing the position of the planes by which a crystal
is bounded.
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6. (Fine Arts) The primary or secondary central line of any
design.
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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 microscope or Axis of a telescope, 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.
[1913 Webster] |
Cartesian coordinates
(gcide) | Coordinate \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.
[1913 Webster]
It has neither coordinate nor analogon; it is
absolutely one. --Coleridge.
[1913 Webster]
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.
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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.
[1913 Webster]Cartesian \Car*te"sian\, a. [From Renatus Cartesius, Latinized
from of Ren['e] Descartes: cf. F. cart['e]sien.]
Of or pertaining to the French philosopher Ren['e] Descartes,
or his philosophy.
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The Cartesion argument for reality of matter. --Sir W.
Hamilton.
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Cartesian coordinates (Geom), distance of a point from
lines or planes; -- used in a system of representing
geometric quantities, invented by Descartes.
Cartesian devil, a small hollow glass figure, used in
connection with a jar of water having an elastic top, to
illustrate the effect of the compression or expansion of
air in changing the specific gravity of bodies.
Cartesion oval (Geom.), a curve such that, for any point of
the curve mr + m'r' = c, where r and r' are the distances
of the point from the two foci and m, m' and c are
constant; -- used by Descartes.
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Geographical coordinates
(gcide) | Coordinate \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.
[1913 Webster]
It has neither coordinate nor analogon; it is
absolutely one. --Coleridge.
[1913 Webster]
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.
[1913 Webster]
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.
[1913 Webster] |
Oblique system of coordinates
(gcide) | Oblique \Ob*lique"\, a. [F., fr. L. obliquus; ob (see Ob-) +
liquis oblique; cf. licinus bent upward, Gr. le`chrios
slanting.] [Written also oblike.]
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1. Not erect or perpendicular; neither parallel to, nor at
right angles from, the base; slanting; inclined.
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It has a direction oblique to that of the former
motion. --Cheyne.
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2. Not straightforward; indirect; obscure; hence,
disingenuous; underhand; perverse; sinister.
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The love we bear our friends . . .
Hath in it certain oblique ends. --Drayton.
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This mode of oblique research, when a more direct
one is denied, we find to be the only one in our
power. --De Quincey.
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Then would be closed the restless, oblique eye.
That looks for evil, like a treacherous spy.
--Wordworth.
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3. Not direct in descent; not following the line of father
and son; collateral.
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His natural affection in a direct line was strong,
in an oblique but weak. --Baker.
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Oblique angle, Oblique ascension, etc. See under Angle,
Ascension, etc.
Oblique arch (Arch.), an arch whose jambs are not at right
angles with the face, and whose intrados is in consequence
askew.
Oblique bridge, a skew bridge. See under Bridge, n.
Oblique case (Gram.), any case except the nominative. See
Case, n.
Oblique circle (Projection), a circle whose plane is
oblique to the axis of the primitive plane.
Oblique fire (Mil.), a fire the direction of which is not
perpendicular to the line fired at.
Oblique flank (Fort.), that part of the curtain whence the
fire of the opposite bastion may be discovered. --Wilhelm.
Oblique leaf. (Bot.)
(a) A leaf twisted or inclined from the normal position.
(b) A leaf having one half different from the other.
Oblique line (Geom.), a line that, meeting or tending to
meet another, makes oblique angles with it.
Oblique motion (Mus.), a kind of motion or progression in
which one part ascends or descends, while the other
prolongs or repeats the same tone, as in the accompanying
example.
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 coordinates (Anal. Geom.), a system in
which the coordinate axes are oblique to each other.
[1913 Webster] |
Polar coordinates
(gcide) | Polar \Po"lar\, a. [Cf. F. polaire. See Pole of the earth.]
1. Of or pertaining to one of the poles of the earth, or of a
sphere; situated near, or proceeding from, one of the
poles; as, polar regions; polar seas; polar winds.
[1913 Webster]
2. Of or pertaining to the magnetic pole, or to the point to
which the magnetic needle is directed.
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3. (Geom.) Pertaining to, reckoned from, or having a common
radiating point; as, polar coordinates.
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Polar axis, that axis of an astronomical instrument, as an
equatorial, which is parallel to the earths axis.
Polar bear (Zool.), a large bear (Ursus maritimus syn.
Thalarctos maritimus) inhabiting the arctic regions. It
sometimes measures nearly nine feet in length and weighs
1,600 pounds. It is partially amphibious, very powerful,
and the most carnivorous of all the bears. The fur is
white, tinged with yellow. Called also White bear. See
Bear.
Polar body, Polar cell, or Polar globule (Biol.), a
minute cell which separates by karyokinesis from the ovum
during its maturation. In the maturation of ordinary ova
two polar bodies are formed, but in parthogenetic ova only
one. The first polar body formed is usually larger than
the second one, and often divides into two after its
separation from the ovum. Each of the polar bodies removes
maternal chromatin from the ovum to make room for the
chromatin of the fertilizing spermatozoon; but their
functions are not fully understood.
Polar circles (Astron. & Geog.), two circles, each at a
distance from a pole of the earth equal to the obliquity
of the ecliptic, or about 23[deg] 28', the northern called
the arctic circle, and the southern the antarctic circle.
Polar clock, a tube, containing a polarizing apparatus,
turning on an axis parallel to that of the earth, and
indicating the hour of the day on an hour circle, by being
turned toward the plane of maximum polarization of the
light of the sky, which is always 90[deg] from the sun.
Polar coordinates. See under 3d Coordinate.
Polar dial, a dial whose plane is parallel to a great
circle passing through the poles of the earth. --Math.
Dict.
Polar distance, the angular distance of any point on a
sphere from one of its poles, particularly of a heavenly
body from the north pole of the heavens.
Polar equation of a line or Polar equation of a surface,
an equation which expresses the relation between the polar
coordinates of every point of the line or surface.
Polar forces (Physics), forces that are developed and act
in pairs, with opposite tendencies or properties in the
two elements, as magnetism, electricity, etc.
Polar hare (Zool.), a large hare of Arctic America ({Lepus
arcticus}), which turns pure white in winter. It is
probably a variety of the common European hare ({Lepus
timidus}).
Polar lights, the aurora borealis or australis.
Polar opposition, or Polaric opposition or {Polar
contrast} or Polaric contrast (Logic), an opposition or
contrast made by the existence of two opposite conceptions
which are the extremes in a species, as white and black in
colors; hence, as great an opposition or contrast as
possible.
Polar projection. See under Projection.
Polar spherical triangle (Spherics), a spherical triangle
whose three angular points are poles of the sides of a
given triangle. See 4th Pole, 2.
Polar whale (Zool.), the right whale, or bowhead. See
Whale.
[1913 Webster]Coordinate \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.
[1913 Webster]
It has neither coordinate nor analogon; it is
absolutely one. --Coleridge.
[1913 Webster]
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.
[1913 Webster]
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.
[1913 Webster] |
Rectangular coordinates
(gcide) | Coordinate \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.
[1913 Webster]
It has neither coordinate nor analogon; it is
absolutely one. --Coleridge.
[1913 Webster]
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.
[1913 Webster]
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.
[1913 Webster] |
Rectilinear coordinates
(gcide) | Coordinate \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.
[1913 Webster]
It has neither coordinate nor analogon; it is
absolutely one. --Coleridge.
[1913 Webster]
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.
[1913 Webster]
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.
[1913 Webster] |
Spherical coordinates
(gcide) | Coordinate \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.
[1913 Webster]
It has neither coordinate nor analogon; it is
absolutely one. --Coleridge.
[1913 Webster]
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.
[1913 Webster]
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.
[1913 Webster] |
Trigonometrical coordinates
(gcide) | Coordinate \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.
[1913 Webster]
It has neither coordinate nor analogon; it is
absolutely one. --Coleridge.
[1913 Webster]
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.
[1913 Webster]
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.
[1913 Webster] |
Trilinear coordinates
(gcide) | Coordinate \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.
[1913 Webster]
It has neither coordinate nor analogon; it is
absolutely one. --Coleridge.
[1913 Webster]
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.
[1913 Webster]
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.
[1913 Webster] |
cartesian coordinates
(foldoc) | Cartesian coordinates
(After Renee Descartes, French
philosopher and mathematician) A pair of numbers, (x, y),
defining the position of a point in a two-dimensional space by
its perpendicular projection onto two axes which are at right
angles to each other. x and y are also known as the
abscissa and ordinate.
The idea can be generalised to any number of independent axes.
Compare polar coordinates.
(1997-07-08)
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