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单词 archimedes' principle
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Archimedes' principle
Archimedes' principle n. (also Archimedes principle) (a) Physics the principle that the upward force experienced by an object immersed partly or wholly in a liquid is equal in magnitude to the weight of the liquid it displaces; (b) Mathematics the principle that for any two positive numbers a and b, there is a natural number n such that a × n > b.
ΚΠ
1859 B. Silliman First Princ. Physics 169 Archimedes' principle.—When solids are immersed in fluids, they displace a quantity of the latter, equal to their own bulk; a legitimate consequence of their own impenetrability.
1901 Math. Gaz. 2 11 The difficulties are largely imaginary, and are in any case contained in Archimedes' Principle.
1956 Osiris 12 290 He also reported that the mean coefficient of expansion of water was determined by the method based on Archimedes' Principle.
1982 Amer. Math. Monthly 89 114 Archimedes' Principle..suggests that there are just as many rational numbers as irrational ones.
2010 Sunday Gleaner (Kingston, Jamaica) 10 Oct. g2/4 A three-seater contraption made its way down the flooded streets. ‘It employs a basic principle of physics..the Archimedes principle.’
2011 L. Bukovský Struct. of Real Line ii. 70 Eudoxus developed a theory of proportion trying to avoid the difficulties with incommensurable ratios (essentially with irrational numbers). He also knew what we call Archimedes' principle.
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