Definition:Lemniscate of Bernoulli/Lobe

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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


Each of the two loops that constitute the lemniscate can be referred to as a lobe of the lemniscate.