| 单词 | ultimate ratio |
| 释义 | > as lemmasultimate ratio c. Mathematics. ultimate ratio, the final limiting ratio between two variable quantities which simultaneously approach definite fixed values or limits. (Correlative to prime ratio: see prime adj. and adv. Compounds.) ΘΚΠ the world > relative properties > number > ratio or proportion > [noun] > where quantities vary fluxion1704 ultimate ratio1729 flux1878 1729 A. Motte tr. I. Newton Math. Princ. Nat. Philos. I. 46 The ultimate ratio of the arc, chord, and tangent, any one to any other, is the ratio of equality. 1749 D. Hartley Observ. Man ii. 32 According to the mathematical Doctrine of ultimate Ratios, not even an infinite Series..could remove it. 1818 S. Vince Fluxions (ed. 5) 16 The ingenious..Author of the Analyst..went upon the term ultimate ratio, assuming equality where it was never intended. 1842 W. T. Brande Dict. Sci., Lit. & Art 974/2 They are called prime ratios, or ultimate ratios, according as the ratios of the variables are considered as receding from, or approaching to, the ratios of the limits. < as lemmas |
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