quinticadj.n.

Brit.

/ˈkwɪntɪk/, U.S.

/ˈkwɪntɪk/

Origin: A borrowing from Latin, combined with an English element. Etymons: Latin quīntus , -ic suffix.

Etymology: < classical Latin quīntus fifth (see quint n.¹) + -ic suffix. With use as noun compare slightly earlier quartic n. Compare sextic adj. and slightly later quartic adj., octavic adj.

Mathematics.

A. adj.

Of the fifth degree; involving the fifth but no higher power of an unknown quantity or a variable.

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

1851 J. J. Sylvester in Cambr. & Dublin Math. Jrnl. 6 194 We see that for cubic, biquadratic, and quintic functions of two letters, the canonical forms will be [etc.].

1876 A. Cayley Coll. Math. Papers (1896) X. 11 A general quintic equation is not solvable by radicals.

1923 Proc. Cambr. Philos. Sci. 21 599 On a quintic locus defined by five points in a plane.

1948 Ann. Computation Lab. Harvard Univ. 16 29 The machine has also fitted polynomials to empirical data, and in one particular case it was necessary to derive a quintic polynomial whose coefficients were also quintics.

2006 Sci. Amer (U.K. ed.) Jan. 81/3 The so-called quintic equation resisted solution for three centuries.

B. n.

An expression, equation, curve, or surface of the fifth degree.

ΘΚΠ

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

cubical1676

cubic1799

quintic1851

quadric1854

sextic1855

octavic1856

octic1876

twelfthic1882

1851 Mechanics' Mag. 30 Aug. 172 Every quintic can be reduced to any trinomial form.

1897 Amer. Jrnl. Math. 19 297 The planes of the 21 quintics are tritangent planes.

1919 F. Cajori Hist. Math. (ed. 2) 136 All attempts at the algebraic solution of the quintic were fruitless.

1961 A. W. Babister Aircraft Stability & Control i. xxi. 306 Combining these equations with the equations of motion we find that the characteristic equation is a quintic.

2004 B. Bunch & A. Hellemans Hist. Sci. & Technol. 337/1 Paolo Ruffini proved that the general quintic could not be solved by algebraic means.

This entry has been updated (OED Third Edition, December 2007; most recently modified version published online March 2022).

单词	quintic
释义	quinticadj.n. Brit. /ˈkwɪntɪk/, U.S. /ˈkwɪntɪk/ Origin: A borrowing from Latin, combined with an English element. Etymons: Latin quīntus , -ic suffix. Etymology: < classical Latin quīntus fifth (see quint n.¹) + -ic suffix. With use as noun compare slightly earlier quartic n. Compare sextic adj. and slightly later quartic adj., octavic adj. Mathematics. A. adj. Of the fifth degree; involving the fifth but no higher power of an unknown quantity or a variable. 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 1851 J. J. Sylvester in Cambr. & Dublin Math. Jrnl. 6 194 We see that for cubic, biquadratic, and quintic functions of two letters, the canonical forms will be [etc.]. 1876 A. Cayley Coll. Math. Papers (1896) X. 11 A general quintic equation is not solvable by radicals. 1923 Proc. Cambr. Philos. Sci. 21 599 On a quintic locus defined by five points in a plane. 1948 Ann. Computation Lab. Harvard Univ. 16 29 The machine has also fitted polynomials to empirical data, and in one particular case it was necessary to derive a quintic polynomial whose coefficients were also quintics. 2006 Sci. Amer (U.K. ed.) Jan. 81/3 The so-called quintic equation resisted solution for three centuries. B. n. An expression, equation, curve, or surface of the fifth degree. ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > the highest power of the variable > named according to this cubical1676 cubic1799 quintic1851 quadric1854 sextic1855 octavic1856 octic1876 twelfthic1882 1851 Mechanics' Mag. 30 Aug. 172 Every quintic can be reduced to any trinomial form. 1897 Amer. Jrnl. Math. 19 297 The planes of the 21 quintics are tritangent planes. 1919 F. Cajori Hist. Math. (ed. 2) 136 All attempts at the algebraic solution of the quintic were fruitless. 1961 A. W. Babister Aircraft Stability & Control i. xxi. 306 Combining these equations with the equations of motion we find that the characteristic equation is a quintic. 2004 B. Bunch & A. Hellemans Hist. Sci. & Technol. 337/1 Paolo Ruffini proved that the general quintic could not be solved by algebraic means. This entry has been updated (OED Third Edition, December 2007; most recently modified version published online March 2022). < adj.n.1851
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