'Space of two dimensions' definitions:

Definition of 'Space of two dimensions'

From: GCIDE
  • 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]