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Definition 2025

lemniscate_of_Bernoulli

lemniscate of Bernoulli

English

The lemniscate of Bernoulli with

a=1

Noun

lemniscate of Bernoulli ‎(plural lemniscates of Bernoulli)

(mathematics) Any closed curve described by a Cartesian equation of the form $(x^{2}+y^{2})^{2}=2a^{2}(x^{2}-y^{2})$ .