Word info Synonyms

lemniscate

Noun

Meaning

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.

Source: Webster's dictionary

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Examples

Klein bagel cross section employing a figure eight curve (the lemniscate of Gerono ). Source: Internet

If the center of inversion is chosen as the hyperbola's own center, the inverse curve is the lemniscate of Bernoulli ; the lemniscate is also the envelope of circles centered on a rectangular hyperbola and passing through the origin. Source: Internet

Notationally, we would replace n above by the lemniscate ∞. Source: Internet

Particular types are Weierstrass's elliptic functions and Jacobi's elliptic functions and the sine lemniscate and cosine lemniscate functions. Source: Internet

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