# Axiom:Euclid's Second Postulate/Production

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## Definition

The process of extending a straight line segment is called **production**.

Such a straight line segment is said to be **produced**.

The line segment can be extended in either direction, thus producing an infinite half-line, or in both directions, thus producing an infinite straight line.

In the words of Euclid:

*To produce a finite straight line continuously in a straight line.*

(*The Elements*: Book $\text{I}$: Postulates: Euclid's Second Postulate)

## Sources

- 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next): Entry:**produce** - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**produce**