Definition:Lemniscate of Bernoulli/Parametric Definition

Definition
The lemniscate of Bernoulli is the curve defined by the parametric equation:
 * $\begin{cases} x = \dfrac {a \sqrt 2 \cos t} {\sin^2 t + 1} \\ y = \dfrac {a \sqrt 2 \cos t \sin t} {\sin^2 t + 1} \end{cases}$


 * LemniscateOfBernoulli.png

Also see

 * Equivalence of Definitions of Lemniscate of Bernoulli