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

b. Mathematics. In adjectives denoting ratios and proportions expressible by unity (or some other integer) with a fractional part over, as superbipartient, supertripartient, superquadripartient, etc. (where the middle part of the word denotes the number of fractional parts left over); superbitertial, superbitertian (where the final part denotes the denominator involved). Cf. superpartient adj. 1, superparticular adj. 1.

ΚΠ

1570 H. Billingsley tr. Euclid Elements Geom. viii. f. 205^v Betwene two numbers whose proportion is superparticular, or superbipartient, there falleth no mean proportionall. For the least numbers of that proportion differ the one from the other onely by vnitie or by two.

1678 E. Phillips New World of Words (new ed.) Supertripartient number.

1686 R. Blome Gentlemans Recreation i. 46/1 The Superpartient Ratio is when one Term comprehends another, once and some part over and above, so 2 thirds, 3 fourths, 4 fifths is called Superbipartient third; Supertripartient fourth, superquadripartient fifth, and so of others.

1702 V. Mandey tr. J. J. Hainlin Synopsis Mathematica: Theoret. Arithm. iii. 36 Proportion Superpartient, is the Habitude of a greater Number to a lesser, when the greater contains the lesser once, and moreover some Aliquot parts... The Denominators of it are, 1²/ ₃, Superbipartient. 1³/ ₄, Supertripartient. 1⁴/ ₅, Superquadrupartient, and so ad Infinitum.

1705 E. Scarburgh Eng. Euclide 180 As 8 to 3 is..2⅔..: therefore this proportion is named Duple superbitertial.

1729 G. Shelvocke Jr. tr. K. Siemienowicz Great Art Artillery iv. vi. 272 You shall have an hollow Wooden Ball, whose whole Height shall be to its Breadth..in a Supertripartient Proportion; that is, as 7 is to 4, though a Sesquialteral Proprtion might do pretty well.

1816 T. Taylor Theoretic Arithm. xxi. 54 By converting after the same manner the sesquiquartan, the superquadripartient ratio will immediately be generated.

1916 G. Johnson Arithm. Philos. Nicomachus of Gerasa vi. 26 The progression as regards terminology may be as follows, superbitertian, supertriquartan, superquadriquintan, superquinquesextan and similarly in the ease of the rest.

1940 Liddell & Scott's Greek-Eng. Lex. (ed. 9) 1780/2 τετρᾰκισ-επίπεμπτος, superquintipartient.

1978 M. S. Mahoney in D. C. Lindberg Sci. in Middle Ages v. 164 If A contained B once with a remainder greater than 1, (A,B) was a ‘superpartient ratio’; specifically, for example, (5,3) was a ‘superbipartient thirds’.

1984 Jrnl. Mus. Theory 28 213 Each of these ratios, of course, is a multiple superbipartient and therefore represents a dissonant interval.

单词	superbitertian
释义	> as lemmas superbitertian b. Mathematics. In adjectives denoting ratios and proportions expressible by unity (or some other integer) with a fractional part over, as superbipartient, supertripartient, superquadripartient, etc. (where the middle part of the word denotes the number of fractional parts left over); superbitertial, superbitertian (where the final part denotes the denominator involved). Cf. superpartient adj. 1, superparticular adj. 1. ΚΠ 1570 H. Billingsley tr. Euclid Elements Geom. viii. f. 205^v Betwene two numbers whose proportion is superparticular, or superbipartient, there falleth no mean proportionall. For the least numbers of that proportion differ the one from the other onely by vnitie or by two. 1678 E. Phillips New World of Words (new ed.) Supertripartient number. 1686 R. Blome Gentlemans Recreation i. 46/1 The Superpartient Ratio is when one Term comprehends another, once and some part over and above, so 2 thirds, 3 fourths, 4 fifths is called Superbipartient third; Supertripartient fourth, superquadripartient fifth, and so of others. 1702 V. Mandey tr. J. J. Hainlin Synopsis Mathematica: Theoret. Arithm. iii. 36 Proportion Superpartient, is the Habitude of a greater Number to a lesser, when the greater contains the lesser once, and moreover some Aliquot parts... The Denominators of it are, 1²/ ₃, Superbipartient. 1³/ ₄, Supertripartient. 1⁴/ ₅, Superquadrupartient, and so ad Infinitum. 1705 E. Scarburgh Eng. Euclide 180 As 8 to 3 is..2⅔..: therefore this proportion is named Duple superbitertial. 1729 G. Shelvocke Jr. tr. K. Siemienowicz Great Art Artillery iv. vi. 272 You shall have an hollow Wooden Ball, whose whole Height shall be to its Breadth..in a Supertripartient Proportion; that is, as 7 is to 4, though a Sesquialteral Proprtion might do pretty well. 1816 T. Taylor Theoretic Arithm. xxi. 54 By converting after the same manner the sesquiquartan, the superquadripartient ratio will immediately be generated. 1916 G. Johnson Arithm. Philos. Nicomachus of Gerasa vi. 26 The progression as regards terminology may be as follows, superbitertian, supertriquartan, superquadriquintan, superquinquesextan and similarly in the ease of the rest. 1940 Liddell & Scott's Greek-Eng. Lex. (ed. 9) 1780/2 τετρᾰκισ-επίπεμπτος, superquintipartient. 1978 M. S. Mahoney in D. C. Lindberg Sci. in Middle Ages v. 164 If A contained B once with a remainder greater than 1, (A,B) was a ‘superpartient ratio’; specifically, for example, (5,3) was a ‘superbipartient thirds’. 1984 Jrnl. Mus. Theory 28 213 Each of these ratios, of course, is a multiple superbipartient and therefore represents a dissonant interval. extracted from super-prefix < as lemmas
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