# Quartic synonyms

**quartic**. In this page you can discover 3 synonyms, antonyms, idiomatic expressions, and related words for

**quartic**, like: biquadrate, biquadratic and fourth power.

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kwôr'tĭk

Find another word for **quartic**. In this page you can discover 3 synonyms, antonyms, idiomatic expressions, and related words for **quartic**, like: biquadrate, biquadratic and fourth power.

The name lemniscate is sometimes given to any crunodal quartic curve having only one real finite branch which is symmetric about the axis.

Xnyviaicos, ribbon), a quartic curve invented by Jacques Bernoulli (Acta Eruditorum, 1694) and afterwards investigated by Giulio Carlo Fagnano, who gave its principal properties and applied it to effect the division of a quadrant into 2 2 m, 3.2 m and 5.2 m equal parts.

The expression (ab) 4 properly appertains to a quartic; for a quadratic it may also be written (ab) 2 (cd) 2, and would denote the square of the discriminant to a factor pres.

For the quartic (ab) 4 = (aib2-a2b,) alb2 -4a7a2blb2+64a2 bib2 - 4a 1 a 2 b 7 b 2 + a a b i = a,a 4 - 4ca,a 3 +6a2 - 4a3a3+ aoa4 = 2(a 0 a 4 - 4a1a3 +e3a2), one of the well-known invariants of the quartic.

The quartic has four equal roots, that is to say, is a perfect fourth power, when the Hessian vanishes identically; and conversely.

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