Category:Hyperbolas

This category contains results about Hyperbolas.
Definitions specific to this category can be found in Definitions/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.