Hypertext Webster Gateway: "inverse"

From Webster's Revised Unabridged Dictionary (1913) (web1913)

Inverse \In*verse"\, a. [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. (Bot.) Inverted; having a position or mode of attachment
the reverse of that which is usual.

3. (Math.) 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 : : 1/3
: 1/6, or 4 : 2 : : 3 : 6, inversely.

From Webster's Revised Unabridged Dictionary (1913) (web1913)

Inverse \In"verse\, n.
That which is inverse.

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

From WordNet (r) 1.7 (wn)

inverse
adj 1: inversely related; "1/2 is the inverse of 2"
2: reversed (turned backward) in order or nature or effect
[syn: {reverse}]
3: (mathematics) varying in a manner opposite to that of
another quantity; "a term is in inverse proportion to
another term if it increases (or decreases) as the other
decreases (or increases) [ant: {direct}]
n 1: (math) one of a pair of numbers whose product is 1: the
reciprocal of 2/3 is 3/2; the inverse of 7 is 1/7 [syn:
{reciprocal}]
2: something inverted in sequence or character or effect; "when
the direct approach failed he tried the inverse" [syn: {opposite}]


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