Definition of Space of three dimensions. Meaning of Space of three dimensions. Synonyms of Space of three dimensions

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Definition of Space of three dimensions

Space of three dimensions
Dimension Di*men"sion, n. [L. dimensio, fr. dimensus, p. p. of dimetiri to measure out; di- = dis- + metiri to measure: cf. F. dimension. See Measure.] 1. Measure in a single line, as length, breadth, height, thickness, or circumference; extension; measurement; -- usually, in the plural, measure in length and breadth, or in length, breadth, and thickness; extent; size; as, the dimensions of a room, or of a ship; the dimensions of a farm, of a kingdom. Gentlemen of more than ordinary dimensions. --W. Irving. Space of dimension, extension that has length but no breadth or thickness; a straight or curved line. Space of two dimensions, extension which has length and breadth, but no thickness; a plane or curved surface. Space of three dimensions, extension which has length, breadth, and thickness; a solid. Space of four dimensions, as imaginary kind of extension, which is assumed to have length, breadth, thickness, and also a fourth imaginary dimension. Space of five or six, or more dimensions is also sometimes assumed in mathematics. 2. Extent; reach; scope; importance; as, a project of large dimensions. 3. (Math.) The degree of manifoldness of a quantity; as, time is quantity having one dimension; volume has three dimensions, relative to extension. 4. (Alg.) A literal factor, as numbered in characterizing a term. The term dimensions forms with the cardinal numbers a phrase equivalent to degree with the ordinal; thus, a^2b^2c is a term of five dimensions, or of the fifth degree. 5. pl. (Phys.) The manifoldness with which the fundamental units of time, length, and mass are involved in determining the units of other physical quantities. Note: Thus, since the unit of velocity varies directly as the unit of length and inversely as the unit of time, the dimensions of velocity are said to be length [divby] time; the dimensions of work are mass [times] (length)^2 [divby] (time)^2; the dimensions of density are mass [divby] (length)^3.

Meaning of Space of three dimensions from wikipedia

- In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates)...
- five-dimensional space is a space with five dimensions. In mathematics, a sequence of N numbers can represent a location in an N-dimensional space. If interpreted...
- meaningful rate in three dimensions, so it follows that only three dimensions of space are allowed to grow large given this kind of initial configuration...
- Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible...
- and chemistry, a space group is the symmetry group of a repeating pattern in space, usually in three dimensions. The elements of a space group (its symmetry...
- In geometry, various formalisms exist to express a rotation in three dimensions as a mathematical transformation. In physics, this concept is applied to...
- There are 230 space groups in three dimensions, given by a number index, and a full name in Hermann–Mauguin notation, and a short name (international short...
- A two-dimensional space is a mathematical space with two dimensions, meaning points have two degrees of freedom: their locations can be locally described...
- in projective space of three dimensions (equivalently, the space of two-dimensional subspaces of a four-dimensional vector space). It is simple linear...
- A unit of volume is a unit of measurement for measuring volume or capacity, the extent of an object or space in three dimensions. Units of capacity may...