Category:Lemniscates

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

Lemniscate of Bernoulli

Let $P_1$ and $P_2$ be points in the plane such that $P_1 P_2 = 2 a$ for some constant $a$.

The lemniscate of Bernoulli is the locus of points $M$ in the plane such that:

$P_1 M \times P_2 M = a^2$