Definition:Lemniscate of Bernoulli/Major Semiaxis

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

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

where $O$ is the point at the center where the branches cross.


Each of the lines $O P_1$ and $O P_2$ is a major semiaxis of the lemniscate.