slovodefinícia
cartesian
(mass)
cartesian
- kartézsky
cartesian
(encz)
Cartesian,Kartezián Zdeněk Brož
cartesian
(encz)
Cartesian,karteziánský adj: Zdeněk Brož
Cartesian
(gcide)
Cartesian \Car*te"sian\, n.
An adherent of Descartes.
[1913 Webster]
Cartesian
(gcide)
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.
[1913 Webster]

The Cartesion argument for reality of matter. --Sir W.
Hamilton.
[1913 Webster]

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.
[1913 Webster]
cartesian
(wn)
Cartesian
adj 1: of or relating to Rene Descartes or his works; "Cartesian
linguistics"
n 1: a follower of Cartesian thought
cartesian
(devil)
CARTESIAN, adj. Relating to Descartes, a famous philosopher, author
of the celebrated dictum, _Cogito ergo sum_ -- whereby he was pleased
to suppose he demonstrated the reality of human existence. The dictum
might be improved, however, thus: _Cogito cogito ergo cogito sum_ --
"I think that I think, therefore I think that I am;" as close an
approach to certainty as any philosopher has yet made.
podobné slovodefinícia
cartesian coordinate
(encz)
cartesian coordinate, n:
cartesian coordinate system
(encz)
cartesian coordinate system, n:
cartesian plane
(encz)
cartesian plane, n:
cartesian product
(encz)
Cartesian product,kartézský součin n: [mat.]
Cartesian
(gcide)
Cartesian \Car*te"sian\, n.
An adherent of Descartes.
[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.
[1913 Webster]

The Cartesion argument for reality of matter. --Sir W.
Hamilton.
[1913 Webster]

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.
[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.
[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 \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.
[1913 Webster]

The Cartesion argument for reality of matter. --Sir W.
Hamilton.
[1913 Webster]

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.
[1913 Webster]
Cartesian devil
(gcide)
Devil \Dev"il\, n. [AS. de['o]fol, de['o]ful; akin to G. ?eufel,
Goth. diaba['u]lus; all fr. L. diabolus the devil, Gr. ? the
devil, the slanderer, fr. ? to slander, calumniate, orig., to
throw across; ? across + ? to throw, let fall, fall; cf. Skr.
gal to fall. Cf. Diabolic.]
1. The Evil One; Satan, represented as the tempter and
spiritual of mankind.
[1913 Webster]

[Jesus] being forty days tempted of the devil.
--Luke iv. 2.
[1913 Webster]

That old serpent, called the Devil, and Satan, which
deceiveth the whole world. --Rev. xii. 9.
[1913 Webster]

2. An evil spirit; a demon.
[1913 Webster]

A dumb man possessed with a devil. --Matt. ix.
32.
[1913 Webster]

3. A very wicked person; hence, any great evil. "That devil
Glendower." "The devil drunkenness." --Shak.
[1913 Webster]

Have not I chosen you twelve, and one of you is a
devil? --John vi. 70.
[1913 Webster]

4. An expletive of surprise, vexation, or emphasis, or,
ironically, of negation. [Low]
[1913 Webster]

The devil a puritan that he is, . . . but a
timepleaser. --Shak.
[1913 Webster]

The things, we know, are neither rich nor rare,
But wonder how the devil they got there. --Pope.
[1913 Webster]

5. (Cookery) A dish, as a bone with the meat, broiled and
excessively peppered; a grill with Cayenne pepper.
[1913 Webster]

Men and women busy in baking, broiling, roasting
oysters, and preparing devils on the gridiron. --Sir
W. Scott.
[1913 Webster]

6. (Manuf.) A machine for tearing or cutting rags, cotton,
etc.
[1913 Webster]

Blue devils. See under Blue.

Cartesian devil. See under Cartesian.

Devil bird (Zool.), one of two or more South African drongo
shrikes (Edolius retifer, and Edolius remifer),
believed by the natives to be connected with sorcery.

Devil may care, reckless, defiant of authority; -- used
adjectively. --Longfellow.

Devil's apron (Bot.), the large kelp ({Laminaria
saccharina}, and Laminaria longicruris) of the Atlantic
ocean, having a blackish, leathery expansion, shaped
somewhat like an apron.

Devil's coachhorse. (Zool.)
(a) The black rove beetle (Ocypus olens). [Eng.]
(b) A large, predacious, hemipterous insect ({Prionotus
cristatus}); the wheel bug. [U.S.]

Devil's darning-needle. (Zool.) See under Darn, v. t.

Devil's fingers, Devil's hand (Zool.), the common British
starfish (Asterias rubens); -- also applied to a sponge
with stout branches. [Prov. Eng., Irish & Scot.]

Devil's riding-horse (Zool.), the American mantis ({Mantis
Carolina}).

The Devil's tattoo, a drumming with the fingers or feet.
"Jack played the Devil's tattoo on the door with his boot
heels." --F. Hardman (Blackw. Mag.).

Devil worship, worship of the power of evil; -- still
practiced by barbarians who believe that the good and evil
forces of nature are of equal power.

Printer's devil, the youngest apprentice in a printing
office, who runs on errands, does dirty work (as washing
the ink rollers and sweeping), etc. "Without fearing the
printer's devil or the sheriff's officer." --Macaulay.

Tasmanian devil (Zool.), a very savage carnivorous
marsupial of Tasmania (Dasyurus ursinus syn. {Diabolus
ursinus}).

To play devil with, to molest extremely; to ruin. [Low]
[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.
[1913 Webster]

The Cartesion argument for reality of matter. --Sir W.
Hamilton.
[1913 Webster]

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.
[1913 Webster]
Cartesianism
(gcide)
Cartesianism \Car*te"sian*ism\, n.
The philosophy of Descartes.
[1913 Webster]
cartesian coordinate
(wn)
Cartesian coordinate
n 1: one of the coordinates in a system of coordinates that
locates a point on a plane or in space by its distance from
two lines or three planes respectively; the two lines or
the intersections of the three planes are the coordinate
axes
cartesian coordinate system
(wn)
Cartesian coordinate system
n 1: a coordinate system for which the coordinates of a point
are its distances from a set perpendicular lines that
intersect at the origin of the system
cartesian plane
(wn)
Cartesian plane
n 1: a plane in which all points can be described in Cartesian
coordinates
cartesian product
(wn)
Cartesian product
n 1: the set of elements common to two or more sets; "the set of
red hats is the intersection of the set of hats and the set
of red things" [syn: intersection, product, {Cartesian
product}]
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)
cartesian product
(foldoc)
Cartesian product

(After Renee Descartes, French philosper and
mathematician) The Cartesian product of two sets A and B is
the set

A x B = (a, b) | a in A, b in B.

I.e. the product set contains all possible combinations of one
element from each set. The idea can be extended to products
of any number of sets.

If we consider the elements in sets A and B as points along
perpendicular axes in a two-dimensional space then the
elements of the product are the "Cartesian coordinates" of
points in that space.

See also tuple.

(1995-03-01)

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