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Encyclopedia Britannica



DIMENSION (from Lat. dimensio, a measuring)

This article appears in Volume V08, Page 273 of the Encyclopedia Britannica.

Encyclopedia Britannica - Main :: DEM-DIO
DIMENSION (from Lat. dimensio, a measuring) , in
geometry
 , a magnitude measured in a specified direction, i.e. length, breadth and thickness; thus a
line
  has only length and is said to be of one
dimension
 , a
surface
  has length and breadth, and has two dimensions, a solid has length, breadth and thickness, and has three dimensions. This concept is extended to
algebra
 : since a
line
 ,
surface
  and solid are represented by linear, quadratic and cubic equations, and are of one, two and three dimensions; a biquadratic
equation
  has its highest terms of four dimensions, and, in
general
 , an equation in any number of variables which has the greatest sum of the indices of any
term
  equal to n is said to have n dimensions. The "
fourth
 
dimension
  " is a type of non-Euclidean
geometry
 , in which it is conceived that a " solid " has one dimension more than the solids of experience. For the dimensions of
units
  see
UNITS
 , DIMENSIONS OF.


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