单词 | inverse ratio |
释义 | > as lemmasinverse ratio a. [after post-classical Latin inversa ratio (1588 in a translation of Euclid, or earlier)] . In inverse proportion, inverse ratio. Designating a ratio or proportion in which the antecedent and consequent of another are interchanged. Also: designating a ratio or proportion in which one quantity increases (or decreases) in proportion to a decrease (or increase) in the other. in inverse proportion: so that one quantity increases in proportion to a decrease in the other. ΘΚΠ the world > relative properties > number > ratio or proportion > [noun] > inverse inverse proportion1660 inverse ratio1660 the world > relative properties > number > mathematical number or quantity > [adjective] > describing relationships between quantities > inverse reciprocal1570 reverse1594 inverse proportion1660 inverted1678 conjugate1680 conjugated1798 the world > relative properties > number > ratio or proportion > [noun] > equal or constant > terms reversed inverse1656 inverse ratio1660 1660 tr. I. Barrow Euclide's Elements v. 93 Inverse ratio [L. inuersa ratio] is when the consequent is taken as the antecedent, and so compared to the antecedent as the consequent. 1784 Philos. Trans. (Royal Soc.) 74 46 Their densities,..being in the inverse duplicate ratio of their semi-diameters, must be in the inverse sextuplicate ratio of the distance of the revolving body. 1790 E. Burke Refl. Revol. in France 139 The operation of opinion being in the inverse ratio to the number of those who abuse power. View more context for this quotation 1793 T. Beddoes Observ. Nature Demonstrative Evid. 19 A balance of which one arm should be ten inches, and the other one inch long, and each arm should be loaded in an inverse proportion to its length. 1814 J. Playfair Outl. Nat. Philos. II. ii. v. 295 The attraction of a spheroid, in the plane of its equator, does not decrease exactly in the inverse ratio of the square of the distance. 1865 F. Oakeley Hist. Notes 51 The ratio of its extent appeared to be inverse with the degree in which it was sought. 1904 Lancet 4 June 1613/1 He had examined eosin,..acridin, and fluorescin, and found that their photodynamic action was in inverse ratio to their degree of fluorescence. 2009 P. Weigall Fishing Season 140 The idle chatter increased in inverse proportion to the fading fishing opportunities. < as lemmas |
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