| 释义 |
subˈmultiple, a. and n.
[ad. late L. submultiplus: see sub- 10 and multiple.]
A. adj. Of a ratio: In which the antecedent is an aliquot part of the consequent: the converse of multiple. Of a number, etc.: That is an aliquot part of another. Now rare or Obs.
a1696Scarburgh Euclid (1705) 180, 12 compared to 4 is Multiple Proportion, and named triple: And 4 to 12 is Submultiple Proportion, and named Subtriple. 1704J. Harris Lex. Techn. I, Submultiple Number, or Quantity, is that which is contained in another Number, a certain Number of Times exactly. 1728Chambers Cycl. s.v., The Ratio of 3 to 21 is Submultiple. 1739in Rigaud Corr. Sci. Men (1841) I. 355 The sine of 1/n A (or submultiple part of the anomaly of the eccentric).
B. n. A submultiple or aliquot part (of).
1758Phil. Trans. L. 765 note, These arcs [are] the corresponding submultiples of those above. 1857Miller Elem. Chem., Org. xiv. §1. 773 Equivalent quantities of different salts when in solution occupy either the same volume, or volumes which are simple multiples or submultiples of each other. 1859Parkinson Optics (1866) 244 If the angle of a hollow cone..be any sub-multiple of 180°. 1871C. Davies Metric Syst. ii. 40 [A] system of numbers where the multiples and submultiples are formed from a single unit. 1880E. J. Reed Japan I. 326 Its [the yen's] decimal submultiples being the sen (or cent) and the rin.
So † submulˈtiplicate a. = A. above.
1656tr. Hobbes' Elem. Philos. (1839) 364 The proportion of the altitudes decreasing to that of the ordinate lines decreasing, being multiplicate according to any number in the deficient figure, is submultiplicate according to the same number in its complement. |