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Noah Webster's 1828 American Dictionary
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1828 Definition

INVERSE, a. invers'. [L. inversus. See Invert.]

Inverted; reciprocal. Inverse proportion or ratio, is when the effect or result of any operation is less in proportion as the cause is greater, or is greater in proportion as the cause is less. Thus the time in which a quantity of work may be performed, will be less in proportion as the number of workmen is greater, and greater in proportion as the number of workmen is less. If ten men can perform a certain quantity of work in six days,then twenty men will perform the same work in three days. Inverse proportion is opposed to direct.

1913 Definition
Inverse (inverse)
a.(?)
In*verse"
[L. inversus, p. p. of invertere: cf. F. inverse. See Invert.]

  1. Opposite in order, relation, or effect; reversed; inverted; reciprocal; -- opposed to direct.
  2. Inverted; having a position or mode of attachment the reverse of that which is usual.
  3. Opposite in nature and effect; -- said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity; as, multiplication is the inverse operation to division. The symbol of an inverse operation is the symbol of the direct operation with -1 as an index. Thus sin-1 x means the arc whose sine is x.

    Inverse figures (Geom.), two figures, such that each point of either figure is inverse to a corresponding point in the order figure. -- Inverse points (Geom.), two points lying on a line drawn from the center of a fixed circle or sphere, and so related that the product of their distances from the center of the circle or sphere is equal to the square of the radius. -- Inverse, or Reciprocal, ratio (Math.), the ratio of the reciprocals of two quantities. -- Inverse, or Reciprocal, proportion, an equality between a direct ratio and a reciprocal ratio; thus, 4 : 2 : : ***frac13] : ***frac16], or 4 : 2 : : 3 : 6, inversely.

  4. That which is inverse.

    Thus the course of human study is the inverse of the course of things in nature. Tatham.


1828 dictionary
Noah Says...
If the citizens neglect their duty and place unprincipled men in office, the government will soon be corrupted; laws will be made not for the public good so much as for the selfish or local purposes.
 History of the United States :: 1832 




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