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单词 quadric
释义

quadricn.adj.

Brit. /ˈkwɒdrɪk/, U.S. /ˈkwɑdrɪk/
Origin: A borrowing from Latin, combined with an English element. Etymons: Latin quadra , -ic suffix.
Etymology: < classical Latin quadra a square (see quadra n.) + -ic suffix. Compare earlier quadratic adj., quadratic n.
Mathematics.
A. n.
An expression or surface of the second 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
1854 A. Cayley in Proc. Royal Soc. 7 381 A table of the covariants of a quadric, a cubic, and a quartic.
1881 J. C. Maxwell Treat. Electr. & Magnetism (ed. 2) I. 215 A variable parameter, which we shall distinguish by a suffix for the species of quadric.
1900 Trans. Amer. Math. Soc. 1 461 (heading) Parametric representation of the fundamental quadric.
1957 Encycl. Brit. I. 607/2 Forms in two variables are called binary... Consider a binary quadric:—f(x) = x12x22.
2000 Trans. Amer. Math. Soc. 352 5016 Draw four lines.., and consider the pencil of quadrics..containing these lines.
B. adj.
Of the second degree; spec. (of a surface) having a Cartesian equation which is algebraic and of the second degree.quadratic is now the usual term used to describe equations of the second degree.
ΘΚΠ
the world > relative properties > number > geometry > shape or figure > [adjective] > having specific property
hypotenusal?a1560
oblique?a1560
local1673
focal1676
octantal1777
symmetrical1794
radical1848
self-conjugate1855
quadric1856
stellated1859
periphractic1881
homoeoidal1883
tridiametral1891
one-sided1893
semi-infinite1903
simplicial1913
mirror-symmetric1952
1856 A. Cayley in Philos. Trans. (Royal Soc.) 146 637 The Hessian is the discriminant of the second or quadric emanant of the quantic.
1884 Hermathena 10 166 Two of the given equations will represent quadric cones.
1953 H. Wold Demand Analysis xi. 176 Repeating the calculation of Â2 for a few neighbouring values of a1, a2, the minimum of Â2 is then located by approximating Â2 by a quadric expression in a1, a2.
1972 M. Kline Math. Thought xxiii. 545 The quadric surfaces, e.g. sphere, cylinder, paraboloid, hyperboloid of two sheets, and ellipsoid, were of course known geometrically before 1700.
2000 Ann. Math. 152 14 The unstable set is the quadric surface of singular matrices at infinity.
This entry has been updated (OED Third Edition, December 2007; most recently modified version published online March 2022).
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n.adj.1854
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