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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.

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.

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.

- In geometry, Euclidean space encomp****es the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and similar spaces of...

- physics and engineering, spatial transformations in the 3-dimensional Euclidian space R 3 {\displaystyle \mathbb {R} ^{3}} are distinguished into active...

- Euclidean (or, less commonly, Euclidian) is an adjective derived from the name of Euclid, an ancient Gr**** mathematician. It is the name of: Euclidean...

- In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry. As Euclidean...

- In mathematics, the Euclidean distance or Euclidean metric is the "ordinary" straight-line distance between two points in Euclidean space. With this distance...

- In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one...

- Mark Joseph Machina (born October 27, 1954) is an American economist noted for work in non-standard decision theory. He is currently a distinguished professor...

- Kenneth Wayne Bushnell (born 1933) is an American visual artist, who was born in Los Angeles. He earned a BA from the University of California, Los Angeles...

- much as general relativity is possible when we drop the hypothesis of euclidian space-time, allowing the possibility of curved space-time, scale relativity...

- In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric...

- physics and engineering, spatial transformations in the 3-dimensional Euclidian space R 3 {\displaystyle \mathbb {R} ^{3}} are distinguished into active...

- Euclidean (or, less commonly, Euclidian) is an adjective derived from the name of Euclid, an ancient Gr**** mathematician. It is the name of: Euclidean...

- In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry. As Euclidean...

- In mathematics, the Euclidean distance or Euclidean metric is the "ordinary" straight-line distance between two points in Euclidean space. With this distance...

- In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one...

- Mark Joseph Machina (born October 27, 1954) is an American economist noted for work in non-standard decision theory. He is currently a distinguished professor...

- Kenneth Wayne Bushnell (born 1933) is an American visual artist, who was born in Los Angeles. He earned a BA from the University of California, Los Angeles...

- much as general relativity is possible when we drop the hypothesis of euclidian space-time, allowing the possibility of curved space-time, scale relativity...

- In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric...

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