dualityn.
/djuːˈalɪti/ 1. The condition or fact of being dual, or consisting of two parts, natures, etc.; twofold condition.
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the world > relative properties > number > geometry > [noun] > geometrical property
duality1532
magnitude1570
solidity1570
order1706
symmetry1823
unicursality1887
self-coincidence1902
closure1905
non-orientability1938
the world > relative properties > number > specific numbers > two > duality > [noun]
doublenessa1398
duality1532
duplicity1589
biformity1611
duity1645
twoness1648
dualism1833
twofoldnessa1834
duplexity1856
1532 (c1385) Usk's Test. Loue in Wks. G. Chaucer ii. f. cccxlviiiv This dualyte after clerkes determission is founden in euery creature, be it neuer so syngle of onhed.
?1578 W. Patten Let. Entertainm. Killingwoorth 75 Wheat & barly, peaz & beanz, meat & drink, bread & meat, beer & ale, appls & pearz. But least by such dualiteez I draw you too far: let vs heer stay, and cum neerer home.
a1620 M. Fotherby Atheomastix (1622) ii. x. §2. 299 Dualitie is nothing but a composition of two vnities.
1781 W. Cowper Let. 25 Aug. (1979) I. 514 The Solitude, or rather the Duality of our Condition at Olney.
1887 Whitaker's Almanack 437 In the Austro-Hungarian empire duality extends to the annual budget.
1892 B. F. Westcott Gospel of Life 176 Zarathustra himself seems to have taught a certain duality in the one Divine Being.
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society > faith > worship > benefice > [noun] > one who possesses > who has two > the holding of two together
duality1620
1620 N. Brent tr. P. Sarpi Hist. Councel of Trent viii. 764 Pluralitie of Benefices is forbid, and dualtie granted when one is not sufficient.
1620 N. Brent tr. P. Sarpi Hist. Councel of Trent viii. 738.
1634 J. Canne Necessitie of Separation iii. 141 Dispensations given..for non-residents..dualities, trialities, pluralities.
1663 J. Birkenhead Assembly-man 8 He is not against Pluralities, but Dualities.
Draft additions 1993
principle of duality n. [translating French principe de dualité (J. V. Poncelet 1827, in Bull. des Sciences Mathématiques VIII. 117)] Mathematics in projective geometry, the principle that any statement concerning points and lines is true if and only if the statement dual (see dual adj. and n. Additions a) to it is true. Also transferred.
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1873 J. Booth Treat. Some New Geom. Methods I. p. xi That the principle of Duality should not have been discovered by the great geometers of Ancient Greece is..remarkable.
1940 J. L. Coolidge Hist. Geom. Methods i. v. 96 The principle of duality appears at the outset, and is carried through consistently; much of the work is printed in double columns.
1970 O. Dopping Computers & Data Processing i. 29 With these theorems and the principle of duality..complex expressions in Boolean algebra can sometimes be reduced to a simpler form.
This entry has not yet been fully updated (first published 1897; most recently modified version published online December 2020).
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