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单词 apotome
释义

apotomen.

/əˈpɒtəmiː/
Forms: Also apotomy.
Etymology: < Greek ἀποτομή a cutting off, < ἀποτέμνειν to cut off.
1. Mathematics. The difference of two quantities, commensurable only in power (i.e. in their squares, cubes, etc.; see Euclid Bk. 10); e.g. the difference between √ 2 and 1, which is the difference between the diagonal and side of a square.
ΘΚΠ
the world > relative properties > number > mathematical number or quantity > [noun] > relationship between quantities > difference or discrepancy
odds1525
apotome1571
difference1745
absolute error1775
residual1854
error of closure1981
1571 T. Digges in L. Digges's Geom. Pract.: Pantometria i. sig. T iij v √ z180 − 6..deducted from 12, leueth this Apotome 18 − √ z180.
1656 T. Blount Glossographia Apotomy.
1673 J. Wallis Let. in S. P. Rigaud & S. J. Rigaud Corr. Sci. Men 17th Cent. (1841) (modernized text) II. 567 Of which binomial and apotome, the cubic roots are to be extracted.
1706 in Phillips's New World of Words (new ed.)
1796 C. Hutton Math. & Philos. Dict. (at cited word) The doctrine of apotomes, in lines, as delivered by Euclid in the tenth book.
2. Music. (See quot.)
ΘΚΠ
society > leisure > the arts > music > musical sound > pitch > interval > [noun] > microtones > others
limma1694
apotome1696
diaschisma1753
schisma1753
schist1875
1696 E. Phillips New World of Words (new ed.)
1753 Chambers's Cycl. Suppl. Apotome, in music, is the difference of the tone major and Limma, expressed by 2187/ 2048.
1806 J. W. Callcott Musical Gram. ii. iii. 112 This Semitone was termed by the Pythagoreans Apotome.
This entry has not yet been fully updated (first published 1885; most recently modified version published online September 2021).
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