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Encyclopedia Britannica



COMPLEMENT (Lat. complementum, from complere, to fill up)

This article appears in Volume V06, Page 811 of the Encyclopedia Britannica.

Encyclopedia Britannica - Main :: COM-COR
COMPLEMENT (Lat. complementum, from complere, to fill up) , that which fills up or completes anything, e.g. the number of men necessary to man a ship. In geometry, the
complement
  of an
angle
  is the difference between the
angle
  and a right angle; the complements of a parallelogram are formed by drawing parallel to adjacent sides of a parallelogram two lines intersecting on a
diagonal
 ; four parallelograms are thus formed, and the two not about the
diagonal
  of the
original
  parallelogram are the complements of the parallelogram. In
analysis
 , a complementary
function
  is a partial solution to a differential equation (q.v.); complementary operators are reciprocal or inverse operators, i.e. two operations A and B are complementary when both operating on the same figure or
function
  leave it unchanged. A " complementary colour " is one which produces white when mixed with another (see CoLouR). In Spanish the word cumplimento was used in a particular sense of the fulfilment of the duties of polite behaviour and courtesy, and it came through the French and Italian forms into use in
English
 , with a
change
  in spelling to " compliment," with the sense of an act of politeness, especially of a polite expression of praise, or of social regard andgreetings. The word " comply," meaning to act in accordance with wishes, orders or conditions, is also derived from the same origin, but in sense is connected with " ply " or " pliant," from Lat. plicare, to bend, with the
idea
  of subserviently yielding to the wishes of another.


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