# Definition:Generatrix

## Definition

A generatrix is an element of a set of straight lines which constitute a given surface.

### Generatrix of Right Circular Cone

Let $K$ be a right circular cone.

Let $A$ be the apex of $K$.

Let $B$ be the base of $K$.

Then a line joining the apex of $K$ to its directrix is a generatrix of $K$.

## Also known as

A generatrix of a surface can also be referred to as a generator or generator element.

## Linguistic Note

The word generatrix is the feminine form of the word generator.

As such, the form is archaic, and is rarely (if ever) found outside the context of mathematics.