Definition of Euclidian space. Meaning of Euclidian space. Synonyms of Euclidian space
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Definition of Euclidian space
Euclidian spaceSpace Space (sp[=a]s), n. [OE. space, F. espace, from L.
spatium space; cf. Gr. spa^n to draw, to tear; perh. akin to
E. span. Cf. Expatiate.]
1. Extension, considered independently of anything which it
may contain; that which makes extended objects conceivable
Pure space is capable neither of resistance nor
2. Place, having more or less extension; room.
They gave him chase, and hunted him as hare; Long
had he no space to dwell [in]. --R. of
While I have time and space. --Chaucer.
3. A quantity or portion of extension; distance from one
thing to another; an interval between any two or more
objects; as, the space between two stars or two hills; the
sound was heard for the space of a mile.
Put a space betwixt drove and drove. --Gen. xxxii.
4. Quantity of time; an interval between two points of time;
duration; time. ``Grace God gave him here, this land to
keep long space.' --R. of brunne.
Nine times the space that measures day and night.
God may defer his judgments for a time, and give a
people a longer space of repentance. --Tillotson.
5. A short time; a while. [R.] ``To stay your deadly strife a
6. Walk; track; path; course. [Obs.]
This ilke [same] monk let old things pace, And held
after the new world the space. --Chaucer.
(a) A small piece of metal cast lower than a face type, so
as not to receive the ink in printing, -- used to
separate words or letters.
(b) The distance or interval between words or letters in
the lines, or between lines, as in books.
Note: Spaces are of different thicknesses to enable the
compositor to arrange the words at equal distances from
each other in the same line.
8. (Mus.) One of the intervals, or open places, between the
lines of the staff.
Absolute space, Euclidian space, etc. See under
Absolute, Euclidian, etc.
Space line (Print.), a thin piece of metal used by printers
to open the lines of type to a regular distance from each
other, and for other purposes; a lead. --Hansard.
Space rule (Print.), a fine, thin, short metal rule of the
same height as the type, used in printing short lines in
tabular matter. Euclidian spaceEuclidian Eu*clid"i*an, n.
Related to Euclid, or to the geometry of Euclid.
Euclidian space (Geom.), the kind of space to which the
axioms and definitions of Euclid, relative to straight
lines and parallel lines, apply; -- called also flat
space, and homaloidal space.
Meaning of Euclidian space from wikipedia
- geometry, Euclidean space
encomp****es the two-dimensional Euclidean
plane, the three-dimensional space
geometry, and similar spaces
- less commonly, Euclidian
) is an adjective derived
from the name of Euclid, an ancient
Gr**** mathematician. It is the name of: Euclidean space
, the two-dimensional...
of hyperbolic space
and in a second paper
in the same year, defined
the Klein model which models
of hyperbolic space
, and used this to...
- distance between
in Euclidean space
. With this distance, Euclidean space becomes
a metric space
. The ****ociated norm is called
- Press, 1974, pp. 34–41 Morse, Marcia, Kenneth
(The Euclidian Dream
Cycle: New Work), Honolulu Academy
of Arts, 1986...
- more generalized concept
of vectors defined simply
of a vector space
play an important
role in physics: the velocity
form and the space which
it engenders. This space
we have negligently confounded
with pure visual space
or with Euclidian space
. Euclid, in one of...
- Cartesian coordinates
of real n-space
in an n-dimensional Euclidean space
for any dimension
n. These coordinates
- Einstein's theory
of general relativity
is that physical space itself
is not Euclidean, and Euclidean space
is a good approximation
for it only over short
- general, for any c > 0, where
d is the number
in the Euclidean space
is a polynomial-time algorithm
a tour of length
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