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What (who) is lémniscate - definition

FIGURE-EIGHT-SHAPED CURVE

Lemniscatic; Lemniscates; Lemniscate curve; Leminiscate; Figure-eight curve; Eight curve; Eight Curve

Lemniscate

·noun A curve in the form of the figure 8, with both parts symmetrical, generated by the point in which a tangent to an equilateral hyperbola meets the perpendicular on it drawn from the center.

Gauss's constant

TRANSCENDENTAL NUMBER; THE RECIPROCAL OF THE ARITHMETIC–GEOMETRIC MEAN OF 1 AND √2

Gauss's constant; Gauss constant; First lemniscate constant; Second lemniscate constant; Gauss lemniscate constant; Gauss' lemniscate constant; Gauss's lemniscate constant; Gauss’s lemniscate constant; Gauss's lemniscate; Gauss’s lemniscate; Gauss lemniscate; Gauss’ lemniscate; Gauss' lemniscate; Gauss’ lemniscate constant; Lemniscate of Gauss

In mathematics, Gauss's constant, denoted by G, is defined as the reciprocal of the arithmetic–geometric mean of 1 and the square root of 2:

https://en.wikipedia.org/wiki/Gauss's_constant

Lemniscate elliptic functions

In mathematics, the lemniscate elliptic functions are elliptic functions related to the arc length of the lemniscate of Bernoulli. They were first studied by Giulio Fagnano in 1718 and later by Leonhard Euler and Carl Friedrich Gauss, among others.

https://en.wikipedia.org/wiki/Lemniscate_elliptic_functions

Wikipedia

Lemniscate

In algebraic geometry, a lemniscate is any of several figure-eight or ∞-shaped curves. The word comes from the Latin "lēmniscātus" meaning "decorated with ribbons", from the Greek λημνίσκος meaning "ribbon", or which alternatively may refer to the wool from which the ribbons were made.

Curves that have been called a lemniscate include three quartic plane curves: the hippopede or lemniscate of Booth, the lemniscate of Bernoulli, and the lemniscate of Gerono. The study of lemniscates (and in particular the hippopede) dates to ancient Greek mathematics, but the term "lemniscate" for curves of this type comes from the work of Jacob Bernoulli in the late 17th century.

https://en.wikipedia.org/wiki/Lemniscate