# Definition:Degenerate Case

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*This page is about Degenerate Case. For other uses, see Degenerate.*

## Definition

A **degenerate case** is a specific manifestation of a particular type of object being included in another, usually simpler, type of object.

## Example

A pair of intersecting lines are a **degenerate case** of a conic section. Such an object is formed by the intersection of a plane with a double napped cone such that the plane passes through the apex of the cone.

## Sources

- 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**degenerate**

- Weisstein, Eric W. "Degenerate." From
*MathWorld*--A Wolfram Web Resource. http://mathworld.wolfram.com/Degenerate.html