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单词 harmonical numbers
释义

> as lemmas

harmonical numbers
a. Mathematics. = harmonic adj. 5harmonical numbers: numbers in harmonic progression (obsolete).
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the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of sets > of sequences > progression
geometrical1543
harmonical1569
progressional1570
musical1589
equidifferent1696
harmonic1706
synharmonic1850
preferred1922
1569 J. Sanford tr. H. C. Agrippa Of Vanitie Artes & Sci. 25 b Of Harmonical Numbers, and Geometrical.
1597 T. Morley Plaine & Easie Introd. Musicke Annot. sig. *3 Harmonical proportion is..when the greatest of three termes is so to the least as the difference of the greatest and middle termes, is to the difference of the middle and least.
1728 E. Chambers Cycl. (at cited word) Harmonical Series, is a Series of many Numbers in continual Harmonical Proportion.
1881 J. Casey Sequel to Euclid 89 The reciprocals of lines in arithmetical progression are in harmonical progression.
1882 C. Smith Conic Sect. (1885) 53 PQ:PS::PR–PQ:PS–PR, so that PQ PR PS are in harmonical proportion.
extracted from harmonicaladj.
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