Definition:Order of Surface

This page is about order of surface. For other uses, see order.

Definition

Let $\SS$ be a surface embedded in ordinary $3$-space.

The order of $\SS$ is the degree of the equation whose locus is $\SS$.

Also see

• Definition:Order of Curve

• Results about orders of surfaces can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): order: 3. (of a curve or surface)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): order: 3. (of a curve or surface)