biquadraticadj.n.

/bʌɪkwəˈdratɪk/

Etymology: < bi- comb. form + quadratic adj. and n.: see biquadrate v.

Mathematics.

A. adj.

Relating to the square of a square, or fourth power, of a number. biquadratic equation: an equation in which the unknown quantity is raised to the fourth power. biquadratic parabola: a curve of the third order, having two infinite legs tending the same way. biquadratic root: the square root of the square root (of a number).

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > [adjective] > multiple > of self or forming powers

solidc1430

quadratec1450

wholec1450

cubic1551

squared1557

sursolid1557

cubical?a1560

zenzic1571

quadrato-quadratic1647

quadrato-cubic1654

biquadratic1668

quadrato-quadratical1668

square-squarea1679

powerfula1690

biquadrate1806

quintic1851

sextic1851

superlinear1865

1668 J. Pell Let. in S. P. Rigaud & S. J. Rigaud Corr. Sci. Men 17th Cent. (1841) (modernized text) I. 132 The Latin paper concerning biquadratic equations.

1694 Philos. Trans. (Royal Soc.) 18 70 By extracting..the Cubick, Biquadratick Roots, etc. of the Terms.

1804 Young in Philos. Trans. (Royal Soc.) 95 74 Determined by the solution of a biquadratic equation.

B. n.

1. The fourth power of a number.

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > [noun] > multiplication > into or by itself > other

bissursolid1557

cubi-cubic number1557

surdesolid1557

sursolid1557

quadrato-quadrate1654

quaquadratea1690

quinquadratea1690

tricubea1690

triquadratea1690

supersolid1705

biquadrate1706

biquadratic1728

1728 E. Chambers Cycl. Biquadratick, the next Power above the Cube.

1798 Wood in Philos. Trans. (Royal Soc.) 88 369 In cubics and biquadratics, the imaginary roots were found to be of this form, a + √−b².

2. A biquadratic equation.

ΘΚΠ

the world > relative properties > number > algebra > [noun] > expression > equation > named according to highest power

quadratic equation1647

biquadratic1661

quadratic1674

linear1684

cubic equation1728

linear equation1816

biordinal1876

1661 J. Pell Let. in S. P. Rigaud & S. J. Rigaud Corr. Sci. Men 17th Cent. (1841) (modernized text) I. 132 This biquadratic hath not four possible roots.

1837 H. Hallam Introd. Lit. Europe I. ix. 633 The method of solving biquadratics.

This entry has not yet been fully updated (first published 1887; most recently modified version published online September 2018).

单词	biquadratic
释义	biquadraticadj.n. /bʌɪkwəˈdratɪk/ Etymology: < bi- comb. form + quadratic adj. and n.: see biquadrate v. Mathematics. A. adj. Relating to the square of a square, or fourth power, of a number. biquadratic equation: an equation in which the unknown quantity is raised to the fourth power. biquadratic parabola: a curve of the third order, having two infinite legs tending the same way. biquadratic root: the square root of the square root (of a number). ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > [adjective] > multiple > of self or forming powers solidc1430 quadratec1450 wholec1450 cubic1551 squared1557 sursolid1557 cubical?a1560 zenzic1571 quadrato-quadratic1647 quadrato-cubic1654 biquadratic1668 quadrato-quadratical1668 square-squarea1679 powerfula1690 biquadrate1806 quintic1851 sextic1851 superlinear1865 1668 J. Pell Let. in S. P. Rigaud & S. J. Rigaud Corr. Sci. Men 17th Cent. (1841) (modernized text) I. 132 The Latin paper concerning biquadratic equations. 1694 Philos. Trans. (Royal Soc.) 18 70 By extracting..the Cubick, Biquadratick Roots, etc. of the Terms. 1804 Young in Philos. Trans. (Royal Soc.) 95 74 Determined by the solution of a biquadratic equation. B. n. 1. The fourth power of a number. ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > [noun] > multiplication > into or by itself > other bissursolid1557 cubi-cubic number1557 surdesolid1557 sursolid1557 quadrato-quadrate1654 quaquadratea1690 quinquadratea1690 tricubea1690 triquadratea1690 supersolid1705 biquadrate1706 biquadratic1728 1728 E. Chambers Cycl. Biquadratick, the next Power above the Cube. 1798 Wood in Philos. Trans. (Royal Soc.) 88 369 In cubics and biquadratics, the imaginary roots were found to be of this form, a + √−b². 2. A biquadratic equation. ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > equation > named according to highest power quadratic equation1647 biquadratic1661 quadratic1674 linear1684 cubic equation1728 linear equation1816 biordinal1876 1661 J. Pell Let. in S. P. Rigaud & S. J. Rigaud Corr. Sci. Men 17th Cent. (1841) (modernized text) I. 132 This biquadratic hath not four possible roots. 1837 H. Hallam Introd. Lit. Europe I. ix. 633 The method of solving biquadratics. This entry has not yet been fully updated (first published 1887; most recently modified version published online September 2018). < adj.n.1661
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