# Definition:Degenerate Case

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## 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

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