From ProofWiki
Jump to navigation Jump to search

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 $\epsilon \in \R: \epsilon > 1$.

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:

$\epsilon \, p = q$

Then $K$ is a hyperbola.