AskDefine | Define lemniscate

User Contributed Dictionary



From lēmniscātus "decorated with ribbons"


  1. The symbol for infinity, which resembles the figure 8 on its side.
  2. Any closed curve (similar to a figure eight) described by a Cartesian equation of the form (x^2 + y^2)^2 = a^2 (x^2 - y^2)\,

Derived terms

Extensive Definition

In algebraic geometry, the word lemniscate refers to any of several figure-eight or ∞ shaped curves, of which the best known is the Lemniscate of Bernoulli. It is also sometimes used to refer to the \infty symbol used in mathematics as a symbol for infinity.
lemniscate in Afrikaans: Lemniskaat
lemniscate in Bulgarian: Лемниската
lemniscate in Spanish: Lemniscata
lemniscate in Italian: Lemniscata
lemniscate in Latin: Lemniscus
lemniscate in Polish: Lemniskata
lemniscate in Russian: Лемниската
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