| Archimedes - 1897 - 524 pages
...hypothesis. Therefore the solid S cannot, in a condition of rest, be completely submerged. Proposition 5. Any solid lighter than a fluid will, if placed in the...will be equal to the weight of the fluid displaced. For let the solid be EGHF, and let BGHC be the portion of it immersed when the fluid is at rest. As... | |
| Archimedes - 1897 - 528 pages
...there will not be rest ; which is contrary to the hypothesis. ON FLOATING BODIES 1. Proposition 5. Any solid lighter than a fluid will, if placed in the fluid, be so far immersed that the_umght c^jhe_splid,will bejtgual to the weight o For let the solid be EGHF, and let BGHC be the... | |
| Oliver Joseph Thatcher - 1907 - 466 pages
...Proposition 5. A solid lighter than a given fluid will, when placed in that fluid, be so far submerged that the weight of the solid will be equal to the weight of the fluid displaced. Proposition 6. If a solid lighter than a given fluid be forced into that fluid the solid will be driven... | |
| Henry Crew - 1928 - 434 pages
...so that they do not project above the surface but do not sink lower. Proposition 4 Proposition 5 Any solid lighter than a fluid will, if placed in the...will be equal to the weight of the fluid displaced. Proposition 6 If a solid lighter than a fluid be forcibly immersed in it, the solid will be driven... | |
| Morris Kline - 1990 - 434 pages
...be immersed so that they do not project above the surface but do not sink lower. Proposition 5. Any solid lighter than a fluid will, if placed in the...fluid, be so far immersed that the weight of the solid [in air] will be equal to the weight of the fluid displaced. Proposition 7. A solid heavier than a... | |
| Alan L. Mackay - 1991 - 312 pages
...one big thing. In E Diehl Anthologia 'jrr.cu Graeca 1949-52 no 103 Archimedes ca 287-212 BC 106 Any solid lighter than a fluid will, if placed in the...will be equal to the weight of the fluid displaced. On Floating Bodies I, prop. 5 107 Archimedes to Eratosthenes greeting. . . . certain things first became... | |
| T. E. Rihll - 1999 - 180 pages
...it, not be completely submerged, but part of it will project above the surface. Proposition 5. Any solid lighter than a fluid will, if placed in the...will be equal to the weight of the fluid displaced. Proposition 6. If a solid lighter than a fluid be forcibly immersed in it, the solid will be driven... | |
| John C. Slattery - 1999 - 738 pages
...horizontal plane. Exercise 2.2.3-2 Another theorem of Archimedes Prove (Rouse and Ince 1957, p. 17): Any solid lighter than a fluid will, if placed in the...will be equal to the weight of the fluid displaced. Hint: Proceed as in Exercise 2.2.3-1, making use of the jump momentum balance at Exercise 2.2.3-3 Another... | |
| Luigi Carlo Berselli, Traian Iliescu, William J. Layton - 2006 - 378 pages
...fluid mechanics, On Floating Bodies, Archimedes lays down the basic principles of hydrostatics: Any solid lighter than a fluid will, if placed in the...will be equal to the weight of the fluid displaced. (Proposition 5). Book II, a collection of mathematical gems, deals with the application of euclidean... | |
| Arhimēdēs - 2004 - 522 pages
...hypothesis. Therefore the solid S cannot, in a condition of rest, be completely submerged. Proposition 5. Any solid lighter than a fluid will, if placed in the...will be equal to the weight of the fluid displaced. For let the solid be EGHF, and let BGHC be the portion of it immersed when the fluid is at rest. As... | |
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