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Line 32: ===Arclength of lemniscate=== [[Image:Lemniscate of Bernoulli.svg\|thumb\|400px\|right\|A lemniscate of Bernoulli and its two foci]] The [[lemniscate of Bernoulli]] :<math>(x^2+y^2)^2=x^2-y^2</math> consists of the points such that the product of their distances from two the two points (1/√2, 0), (−1/√2, 0) is the constant 1/2. The length ''r'' of the arc from the origin to a point at distance ''s'' from the origin is given by

Lemniscate elliptic functions: Difference between revisions