Definition:Hyperbola/Focus

Definition

 * HyperbolaFocusDirectrix.png

Let $K$ be a hyperbola specified in terms of:
 * a given straight line $D$
 * a given point $F$
 * a given constant $\epsilon$ such that $\epsilon > 1$

where $K$ is the locus of points $P$ such that the distance $p$ from $P$ to $D$ and the distance $q$ from $P$ to $F$ are related by the condition:
 * $q = \epsilon \, p$

The point $F_1$ is known as a focus of the hyperbola.

The symmetrically-positioned point $F_2$ is also a focus of the hyperbola.