sexticadj.n.

Brit.

/ˈsɛkstɪk/, U.S.

/ˈsɛkstɪk/

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

Etymology: < classical Latin sextus sixth (see sext n.¹) + -ic suffix. With use as adjective compare quintic adj. With use as noun compare slightly earlier quintic n., quartic n., and also octavic n.

Mathematics.

A. adj.

Of the sixth degree or order; involving the sixth 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. 6 293 I hope also to be able to fix the number of distinct solutions of the problem of reducing a Sextic Function to its canonical form.

1867 A. Cayley Coll. Math. Papers (1893) VI. 249 The discriminant of this sextic function contains the factor c.

1960 D. Lewis Quantitative Methods Psychol. x. 416 We may readily calculate values of the linear and sextic coefficients.

1994 R. S. Bogartz Introd. Anal. Variance x. 280 Excluding the mean vector, the vectors are, in order of occurrence, the vectors of orthogonal polynomial coefficients for the linear, quadratic, cubic, quartic, quintic, and sextic components of trend.

B. n.

An expression, equation, curve, or surface of the sixth 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

1855 Proc. Royal Soc. 7 381 The system of the irreducible invariants of a sextic is analogous to that of the irreducible invariants of a quintic.

1907 Amer. Jrnl. Math. 29 305 A sextic, even though reducible, cannot have twelve ovals.

1951 Acta Crystallographica 4 189/2 The application of this result to equations (10) and (11) to eliminate t gives a sextic in s.

1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) xxii. 491 A resolvent of a quintic equation, far from being of degree less than five, as one should have expected, was a sextic.

This entry has been updated (OED Third Edition, December 2008; most recently modified version published online March 2022).

单词	sextic
释义	sexticadj.n. Brit. /ˈsɛkstɪk/, U.S. /ˈsɛkstɪk/ Origin: A borrowing from Latin, combined with an English element. Etymons: Latin sextus , -ic suffix. Etymology: < classical Latin sextus sixth (see sext n.¹) + -ic suffix. With use as adjective compare quintic adj. With use as noun compare slightly earlier quintic n., quartic n., and also octavic n. Mathematics. A. adj. Of the sixth degree or order; involving the sixth 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. 6 293 I hope also to be able to fix the number of distinct solutions of the problem of reducing a Sextic Function to its canonical form. 1867 A. Cayley Coll. Math. Papers (1893) VI. 249 The discriminant of this sextic function contains the factor c. 1960 D. Lewis Quantitative Methods Psychol. x. 416 We may readily calculate values of the linear and sextic coefficients. 1994 R. S. Bogartz Introd. Anal. Variance x. 280 Excluding the mean vector, the vectors are, in order of occurrence, the vectors of orthogonal polynomial coefficients for the linear, quadratic, cubic, quartic, quintic, and sextic components of trend. B. n. An expression, equation, curve, or surface of the sixth 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 1855 Proc. Royal Soc. 7 381 The system of the irreducible invariants of a sextic is analogous to that of the irreducible invariants of a quintic. 1907 Amer. Jrnl. Math. 29 305 A sextic, even though reducible, cannot have twelve ovals. 1951 Acta Crystallographica 4 189/2 The application of this result to equations (10) and (11) to eliminate t gives a sextic in s. 1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) xxii. 491 A resolvent of a quintic equation, far from being of degree less than five, as one should have expected, was a sextic. This entry has been updated (OED Third Edition, December 2008; most recently modified version published online March 2022). < adj.n.1851
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