Inverse points

Inverse points
Inverse In*verse", a. [L. inversus, p. p. of invertere: cf. F. inverse. See {Invert}.] [1913 Webster] 1. Opposite in order, relation, or effect; reversed; inverted; reciprocal; -- opposed to {direct}. [1913 Webster]

2. (Bot.) Inverted; having a position or mode of attachment the reverse of that which is usual. [1913 Webster]

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 or angle whose sine is x. [1913 Webster]

{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 ratio}, or {Reciprocal ratio} (Math.), the ratio of the reciprocals of two quantities.

{Inverse proportion}, 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. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Inverse — In*verse , a. [L. inversus, p. p. of invertere: cf. F. inverse. See {Invert}.] [1913 Webster] 1. Opposite in order, relation, or effect; reversed; inverted; reciprocal; opposed to {direct}. [1913 Webster] 2. (Bot.) Inverted; having a position or… …   The Collaborative International Dictionary of English

  • Inverse figures — Inverse In*verse , a. [L. inversus, p. p. of invertere: cf. F. inverse. See {Invert}.] [1913 Webster] 1. Opposite in order, relation, or effect; reversed; inverted; reciprocal; opposed to {direct}. [1913 Webster] 2. (Bot.) Inverted; having a… …   The Collaborative International Dictionary of English

  • Inverse proportion — Inverse In*verse , a. [L. inversus, p. p. of invertere: cf. F. inverse. See {Invert}.] [1913 Webster] 1. Opposite in order, relation, or effect; reversed; inverted; reciprocal; opposed to {direct}. [1913 Webster] 2. (Bot.) Inverted; having a… …   The Collaborative International Dictionary of English

  • Inverse ratio — Inverse In*verse , a. [L. inversus, p. p. of invertere: cf. F. inverse. See {Invert}.] [1913 Webster] 1. Opposite in order, relation, or effect; reversed; inverted; reciprocal; opposed to {direct}. [1913 Webster] 2. (Bot.) Inverted; having a… …   The Collaborative International Dictionary of English

  • Inverse distance weighting — (IDW) is a method for multivariate interpolation, a process of assigning values to unknown points by using values from usually scattered set of known points. A general form of finding an interpolated value u for a given point x using IDW is an… …   Wikipedia

  • Inverse dynamics — uses link segment models to represent the mechanical behavior of connected pendulums, or more concretely, the limbs of humans, animals or robots, where given the kinematic representation of movement, inverse dynamics derives the kinetics… …   Wikipedia

  • Inverse problem — An inverse problem is a general framework that is used to convert observed measurements into information about a physical object or system that we are interested in. For example, if we have measurements of the Earth s gravity field, then we might …   Wikipedia

  • inverse — adj., n. /in verrs , in verrs/; v. /in verrs /, adj., n., v., inversed, inversing. adj. 1. reversed in position, order, direction, or tendency. 2. Math. a. (of a proportion) containing terms of which an increase in one results in a decrease in… …   Universalium

  • Inverse gambler's fallacy — The inverse gambler s fallacy is a term coined by philosopher Ian Hacking to refer to a formal fallacy of Bayesian inference which is similar to the better known gambler s fallacy. It is the fallacy of concluding, on the basis of an unlikely… …   Wikipedia

  • Inverse function theorem — In mathematics, specifically differential calculus, the inverse function theorem gives sufficient conditions for a function to be invertible in a neighborhood of a point in its domain. The theorem also gives a formula for the derivative of the… …   Wikipedia

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