- 34.239.158.107

Ra·ti·o n.

1. Math. The relation which one quantity or magnitude has to another of the same kind. It is expressed by the quotient of the division of the first by the second; thus, the ratio of 3 to 6 is expressed by *a* to *b* by a/b; or (less commonly) the second term is made the dividend; as, a:b = b/a.

Note: ☞ Some writers consider __ratio__ as the quotient itself, making ratio equivalent to a number.

The term __ratio__ is also sometimes applied to the __difference__ of two quantities as well as to their __quotient__, in which case the former is called __arithmetical ratio__, the latter, __geometrical ratio__. The name __ratio__ is sometimes given to the __rule of three__ in arithmetic. See under Rule.

2. Hence, fixed relation of number, quantity, or degree; rate; proportion; as, the ratio of representation in Congress.

**Compound ratio**, **Duplicate ratio**, **Inverse ratio**, etc. See under Compound, Duplicate, etc.

**Ratio of a geometrical progression**, the constant quantity by which each term is multiplied to produce the succeeding one.

◄ ►

In·verse a.

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 or angle 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 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 : : ⅓ : ⅙, or 4 : 2 : : 3 : 6, __inversely__.