Definition, Meaning & Synonyms

lemniscate

noun
/lɛmˈnɪs.keɪt/
Definition
A figure-eight or infinity-shaped curve, which is often studied in mathematics and geometry.
Examples
  • The lemniscate of Bernoulli is one of the most famous lemniscates in mathematics.
  • Mathematicians use lemniscates to explore concepts in topology and calculus.
  • In polar coordinates, the equation for a lemniscate can be represented as r² = a² cos(2θ).
Meaning
In mathematics, a lemniscate is a special type of curve that resembles the shape of the infinity symbol (∞). It has various properties and applications in algebraic geometry and complex analysis.
Synonyms
  • Infinity curve
  • Figure-eight curve
  • Hourglass curve