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DIMENSION (from Lat. dimensio, a meas...

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Originally appearing in Volume V08, Page 273 of the 1911 Encyclopedia Britannica.
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DIMENSION (from See also:Lat. dimensio, a measuring)  , in See also:geometry, a magnitude measured in a specified direction, i.e. length, breadth and thickness; thus a See also:line has only length and is said to be of one See also:dimension, a See also: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 See also:algebra: since a line, surface and solid are represented by linear, quadratic and cubic equations, and are of one, two and three dimensions; a See also:biquadratic See also:equation has its highest terms of four dimensions, and, in See also:general, an equation in any number of variables which has the greatest sum of the indices of any See also:term equal to n is said to have n dimensions . The " See also: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 See also:units see UNITS, DIMENSIONS OF .

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