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 dictionarySynonyms
Hypernyms
Phrases with the word
Anagrams
Examples
Klein bagel cross section employing a figure eight curve (the lemniscate of Gerono ).
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.
Notationally, we would replace n above by the lemniscate ∞.
Particular types are Weierstrass's elliptic functions and Jacobi's elliptic functions and the sine lemniscate and cosine lemniscate functions.