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单词 algebraize
释义

algebraizev.

Brit. /ˈaldʒᵻbreɪʌɪz/, /ˈaldʒᵻbrəʌɪz/, U.S. /ˈældʒəbreɪˌaɪz/, /ˈældʒəbrəˌaɪz/
Forms:

α. 1800s– algebraise, 1800s– algebraize.

β. 1800s– algebrise, 1800s– algebrize.

Origin: Formed within English, by derivation. Etymons: algebra n., -ize suffix.
Etymology: < algebra n. + -ize suffix. With the β. forms compare French algébriser (1752). Compare earlier algebraist n. and algebraism n.
1. intransitive. To practise algebra, to work or operate in an algebraic way. rare.
ΘΚΠ
the world > relative properties > number > algebra > perform algebra [verb (intransitive)]
algebraize1825
1825 Q. Jrnl. Sci. & Arts July 307 He [sc. Alexander von Humboldt] has been resolved to be a philosopher and a Sublime; to Chateaubriandize on weeds, and Algebraize on stones.
1841 Blackwood's Edinb. Mag. 50 633 When a child throws out his five fingers..he has algebraized before he can speak.
1928 F. R. Tennant Philos. Theol. I. ix. 200 God geometrises (Plato), or algebraises (Leibniz), so that the world is connected and ruled by immutable law.
2. transitive. To interpret in terms of algebra; to express or render in algebraic form. Also figurative.
ΚΠ
1842 Southern Lit. Messenger Oct. 627/1 He who would gain esteem must write in apothegms, and use monosyllables—algebraise language and argument—convert a pocket-book into an elaborate treatise.
1849 H. James Let. 31 Aug. in R. B. Perry Thought & Char. W. James (1935) I. 58 When a man lives he can scarcely write... All his writing will be algebraized—put in the form of sonnets and proverbs.
1864 Trans. Cambr. Philos. Soc. 10 264 It is the algebraical property of the last formula, independent of all geometrical interpretation to those who algebraize the sine and cosine, that [etc.].
1936 Osiris 1 654 The Hindus applied the calculus of numbers to geometrical ratios, in other words they algebrized geometry.
1946 Proc. National Acad. Sci. U.S.A. 32 308 The present communication describes an attempt to algebraize, rigorize, round out and extend the Picard-Vessiot theory.
2006 J. Derbyshire Unknown Quantity v. 91 The ideas contained in La géométrie did, however, suffice to revolutionize both algebra and geometry—to algebraize geometry, in fact.

Derivatives

ˈalgebraized adj.
ΚΠ
1896 Electrician 9 Oct. 753/2 Putting the two algebrised parts together we shall obtain [etc.].
1908 Elem. School Teacher 8 376 This is the point at which generalized, or algebraized, arithmetic is most helpful.
1958 Amer. Jrnl. Math. 80 622 What are in effect algebrized versions of geometric arguments.
2007 V. De Risi Geom. & Monadology i. 73 Leibniz employs a different formalism again in order to return to some elements of classical algebraized geometry.
This entry has been updated (OED Third Edition, September 2012; most recently modified version published online December 2021).
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