# Definition:Line/Curve

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## Definition

A **curve** is a line which may or may not be straight.

### Plane Curve

A **plane curve** is a curve which can be embedded in the plane.

### Skew Curve

A **skew curve** is a curve which cannot be embedded in the plane.

### Space Curve

A **space curve** is a curve which is embedded in $3$-space, and may or may not be a skew curve.

### Arc

An **arc** is a specific part of a curve.

## Also known as

The term **curve** can often be seen for **curved line**, but is then specifically understood to mean a line which is specifically not straight.

## Also see

- Results about
**curves**can be found**here**.

## Historical Note

Definition:Curve/Historical Note

## Sources

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