Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
- adjective Of or relating to the fourth degree.
- noun An algebraic equation of the fourth degree.
from The Century Dictionary.
- Containing or referring to a fourth power, or the square of a square; quartic.
- noun In mathematics, the fourth power, arising from the multiplication of a square number or quantity by itself.
from the GNU version of the Collaborative International Dictionary of English.
- adjective (Math.) Of or pertaining to the biquadrate, or fourth power.
- adjective (Alg.) an equation of the fourth degree, or an equation in some term of which the unknown quantity is raised to the fourth power.
- adjective the square root of the square root of that number. Thus the square root of 81 is 9, and the square root of 9 is 3, which is the
biquadratic root of 81. Hutton. - noun A biquadrate.
- noun A biquadratic equation.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective mathematics Of a
polynomial expression, involving only the second and fourth powers of a variable, as x4 + 3x2 + 2. Sometimes extended to any expression involving the fourth power of variable (but no higher powers), as x4 − 4x3 + 3x2 − x + 1. - noun mathematics A biquadratic
equation .
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- noun an equation of the fourth degree
- adjective of or relating to the fourth power
- noun an algebraic equation of the fourth degree
- noun a polynomial of the fourth degree
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
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Examples
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He however extended and developed it, and after his pupil Ferrari had discovered the solution of the biquadratic equation by means of the cubic, he felt justified in publishing it.
The Catholic Encyclopedia, Volume 3: Brownson-Clairvaux 1840-1916 1913
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The solution of cubic and of biquadratic equations, at first only in certain particular forms, but later in all forms, was mastered by
The Age of the Reformation Preserved Smith 1910
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[534] Thomas Baker (c. 1625-1689) gave a geometric solution of the biquadratic in his _Geometrical Key, or Gate of Equations unlocked_ (1684).
A Budget of Paradoxes, Volume II (of II) Augustus De Morgan 1838
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Modern, Sixteenth-Century attention to this ancient matter, as by Cardano and his followers, introduced the modern issues of cubic and biquadratic algebraic functions in an attempted algebraic form.
LaRouche's Latest 2009
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However, the Eighteenth-Century defenders of the incompetence of both Descartes and Newton, such as de Moivre, D'Alembert, Euler, and Lagrange, claimed to have proven their case against Leibniz, by simply accepting de Moivre's proposal that they agree to denounce what they termed, fraudulently, as "imaginary" roots of the relevant cubic and biquadratic functions.
LaRouche's Latest 2009
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Rational Review 2009
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The different positions of FH are determined, by the roots of a biquadratic equation.
Outlines of Natural Philosophy: Being Heads of Lectures Delivered in the University of Edinburgh 1812
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Or if you want to find the roots of the biquadratic without taking away the fccond term 1 fuppofe it to be of this fornix and the values of x will be
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After the fame manner you may find like Theorems for the roots of biquadratic equa - tions, or of equations of any dimcnfion whatever.
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'Thus any cubic equation may be conceived as generated by the multiplication of/i&r« fimple equations, or of one quadratic and one fimple equafion« A biquadratic as generated by the ilitikiplication of four Jimple equations, or of two quadratic equations \ or ladly) of one cubic and one Jimpk equation ..' '
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