lemniscate of Bernoulli lemniskât-e Bernoulli Fr.: lemniscate de Bernoulli A closed curve with two loops resembling a figure 8. It is represented by the Cartesian equation (x2 + y2)2 = a2(x2 - y2), where a is the greatest distance from the origin (pole) to the curve. Its polar equation is r2 = a2 cos 2θ. See also: From L. Latin lemniscatus “adorned with ribbons,” from lemniscus “a pendent ribbon,” from Gk. lemniskos “ribbon;” First described by Jacques Bernoulli (1654-1705) in 1694. |