| 单词 | principle of duality |
| 释义 | > as lemmasprinciple of duality 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. ΚΠ 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. < as lemmas |
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