Definition:Lemniscate of Bernoulli/Major Axis

From ProofWiki
Jump to navigation Jump to search

Definition

Consider the lemniscate of Bernoulli defined as the locus $M$ described by the equation:

$P_1 M \times P_2 M = \paren {\dfrac {P_1 P_2} 2}^2$


LemniscateOfBernoulli.png


The line $P_1 P_2$ is the major axis of the lemniscate.