octavicadj.n.
/ɒkˈteɪvɪk/, U.S. /ɑkˈteɪvɪk/ Mathematics.
A. adj.
Of the eighth degree or order; = octic adj.
ΘΚΠ
the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to equations > involving terms of specific highest power
quadratic1668
quadrato-quadratical1668
quadraticala1690
biordinal1853
octavic1854
quartic1856
nonic1910
1854 Cambr. & Dublin Math. Jrnl. 9 94 The biquadratic and octavic function of x, y, (x, y)4, (x, y)8.
1897 Nature 11 Nov. 47/1 More general forms of octavic curves with six double points.
1960 Proc. Amer. Math. Soc. 11 407 We shall use the following theorems on the biquadratic and octavic character of 2.
1982 Philos. Trans. (Royal Soc.) A. 306 410 The condition curve of a general system μ2v2 is an elliptic octavic curve 1C8 quadrisecant to each of δ and η.
B. n.
An octavic equation, expression, or curve; = octic n.
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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
1856 Philos. Trans. (Royal Soc.) 146 118 For an octavic, the number of the asyzygetic invariants of the degree θ is coefficient xθ in [formula].
1869 Nature 9 Dec. 174/2 There are, moreover, intersections of the quartic by an octavic.
1900 Amer. Jrnl. Math. 22 259 That is, where two hyperelliptic integrals having the same octavic are reducible, one by a quadratic transformation and the other by a transformation of the third degree.
1967 Amer. Jrnl. Math. 89 1022 In this paper, we shall determine the structure of..the graded ring of invariants of binary octavics, by the so-called symbolic method.
This entry has been updated (OED Third Edition, March 2004; most recently modified version published online March 2022).
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adj.n.1854