# Inverse

**Inverse**

1. Opposite in order, relation, or effect; reversed; inverted; reciprocal; opposed to direct.

2. (Science: botany) Inverted; having a position or mode of attachment the reverse of that which is usual.

3. (Science: mathematics) 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.

(Science: geometry) **inverse** figures, 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.

(Science: mathematics) **inverse**, or reciprocal, ratio, 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.

Origin: L. Inversus, p. P. Of invertere: cf. F. **Inverse**. See invert.