Definition:Multiple Point

Definition

Let $C$ be a locus.

A singular point $P \in C$ is called a multiple point if and only if $C$ intersects itself at $P$ such that there are $2$ or more tangents to $C$ at $P$.

Also known as

A multiple point is also known as a $k$-tuple point, where $k$ is the number of intersecting tangents.

Also see

• Definition:Double Point

• Results about multiple points can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): multiple point ($k$-tuple point)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): multiple point ($k$-tuple point)