Definition of Euclidian space. Meaning of Euclidian space. Synonyms of Euclidian space

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Definition of Euclidian space

Euclidian space
Space 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 and possible. Pure space is capable neither of resistance nor motion. --Locke. 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 Brunne. 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. 16. 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. --Milton. 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 space.' --Spenser. 6. Walk; track; path; course. [Obs.] This ilke [same] monk let old things pace, And held after the new world the space. --Chaucer. 7. (print.) (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 space
Euclidian 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

- Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, in Euclid's Elements, it was the three-dimensional...
- portion of hyperbolic space and in a second paper in the same year, defined the Klein model, which models the entirety of hyperbolic space, and used this to...
- In mathematics, the Euclidean distance between two points in Euclidean space is the length of the line segment between them. It can be calculated from...
- (or, less commonly, Euclidian) is an adjective derived from the name of Euclid, an ancient Gr**** mathematician. Euclidean space, the two-dimensional...
- pictorial 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 frame. Similarly, the position of any point in three-dimensional space can be specified by three Cartesian coordinates, which are the signed distances...
- 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 distances...
- and direction. Euclidean vectors can be added and scaled to form a vector space. A vector quantity is a vector-valued physical quantity, including units...
- lattices Lattice theory Module-like Module Group with operators Vector space Linear algebra Algebra-like Algebra ****ociative Non-****ociative Composition...
- Linear maps Parallelepiped Groups Rings, Modules monoids Fields, Vector spaces Algebras Chain complexes Operations group-theoretic lattices, Order-theoretic...