Found 1 items, similar to Space of dimension.
English → English (gcide) Definition: Space of dimension 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. [1913 Webster] Gentlemen of more than ordinary dimensions. --W. Irving. [1913 Webster] 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. [1913 Webster] 2. Extent; reach; scope; importance; as, a project of large dimensions. [1913 Webster] 3. (Math.) The degree of manifoldness of a quantity; as, time is quantity having one dimension; volume has three dimensions, relative to extension. [1913 Webster] 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. [1913 Webster] 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. Dimensional lumber, Dimension lumber, Dimension scantling , or Dimension stock (Carp.), lumber for building, etc., cut to the sizes usually in demand, or to special sizes as ordered. Dimension stone, stone delivered from the quarry rough, but brought to such sizes as are requisite for cutting to dimensions given. [1913 Webster]