英语词汇“reciprocal proportion”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

reciprocal proportion n. (a) Mathematics the relationship between two sequences of three numbers in geometrical progression whose middle terms are equal, the ratio of the two first terms being the reciprocal of the ratio of the two last terms (see the note below; now rare); (also) proportion in which one quantity varies inversely as the other; inverse proportion; (b) Chemistry see law of reciprocal proportions n. at sense A. 7a.E.g. the two sequences 8, 24, 72 and 12, 24, 48 are in reciprocal proportion: 8:12 is in the ratio 2:3, and 72:48 is in the ratio 3:2.

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1656 tr. T. Hobbes Elements Philos. ii. xiii. 126 If there be three continual Proportionals, and again, three other continual Proportionals which have the same Middle Term, their Extremes will be in reciprocal Proportion.

1709 J. Ward Introd. Math. i. vii. §2 If More require Less, or Less require More..then the Terms will be in Reciprocal Proportion.

1734 tr. P. L. M. de Maupertuis Diss. Cœlestial Bodies 21 in J. Keill Exam. Burnet's Theory of Earth (ed. 2) As each Planet describes equal Area's in equal Times, it follows that the Beds of the Vortex Matter have their Velocities in a reciprocal Proportion to their distances from the Center.

1902 Math. Gaz. 2 172 In the ordinary school course, reciprocal proportion should be dropped, and compounding replaced by multiplying.

2001 Med. Engin. & Physics 23 102/2 This led to a modelling law for the frequency to vary in reciprocal proportion to the square of the geometrical scaling factor.

单词	reciprocal proportion
释义	> as lemmas reciprocal proportion reciprocal proportion n. (a) Mathematics the relationship between two sequences of three numbers in geometrical progression whose middle terms are equal, the ratio of the two first terms being the reciprocal of the ratio of the two last terms (see the note below; now rare); (also) proportion in which one quantity varies inversely as the other; inverse proportion; (b) Chemistry see law of reciprocal proportions n. at sense A. 7a.E.g. the two sequences 8, 24, 72 and 12, 24, 48 are in reciprocal proportion: 8:12 is in the ratio 2:3, and 72:48 is in the ratio 3:2. ΚΠ 1656 tr. T. Hobbes Elements Philos. ii. xiii. 126 If there be three continual Proportionals, and again, three other continual Proportionals which have the same Middle Term, their Extremes will be in reciprocal Proportion. 1709 J. Ward Introd. Math. i. vii. §2 If More require Less, or Less require More..then the Terms will be in Reciprocal Proportion. 1734 tr. P. L. M. de Maupertuis Diss. Cœlestial Bodies 21 in J. Keill Exam. Burnet's Theory of Earth (ed. 2) As each Planet describes equal Area's in equal Times, it follows that the Beds of the Vortex Matter have their Velocities in a reciprocal Proportion to their distances from the Center. 1902 Math. Gaz. 2 172 In the ordinary school course, reciprocal proportion should be dropped, and compounding replaced by multiplying. 2001 Med. Engin. & Physics 23 102/2 This led to a modelling law for the frequency to vary in reciprocal proportion to the square of the geometrical scaling factor. extracted from reciprocaladj.n. < as lemmas
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> as lemmas