Category:Definitions/Hyperbolas

This category contains definitions related to Hyperbolas.
Related results can be found in Category:Hyperbolas.

Let $D$ be a straight line.

Let $F_1$ be a point.

Let $e \in \R: e > 1$.

Let $K$ be the locus of points $P$ such that the distance $p$ from $P$ to $D$ and the distance $q$ from $P$ to $F_1$ are related by the condition:

$e p = q$

Then $K$ is a hyperbola.