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" And hence, as the specific gravity of the fluid is to that of the body, so is the whole magnitude of the body to the part immersed. "
A Plain Elementary and Practical System of Natural Experimental Philosophy ... - Seite 162
von John Ewing - 1809 - 538 Seiten
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A General History of Mathematics from the Earliest Times to the Middle of ...

Charles Bossut - 1803 - 580 Seiten
...vertical line ; and that the whole weight of the body is to the weight of the quantity of fluid displaced, as the specific gravity of the fluid is to that of the floating body. This general theory he illustrates by various examples taken from the triangle, the...
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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - 1807 - 464 Seiten
...same. 285. Carol. 4. Hence the magnitude of the whole body, is to the magnitude of the part immersed, as the specific gravity of the fluid, is to that of the body. For, in bodies of equal weight, the densities, or specific gravities, are reciprocally as their magnitudes....
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Institutes of Natural Philosophy: Theoretical and Practical

William Enfield - 1811 - 476 Seiten
...water as a standard, a cubick foot of which being uniformly found to weigh 1000 avoirdupoise ounces. The weight which a body loses in a fluid, is to its whole weight, as the specifick gravity of the fluid is to that of the body ; where three terms of the proportion being given,...
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - 1811 - 494 Seiten
...same. 323. Corol. 4. Hence the magnitude of the whole bodyj is (o the magnitude of the psrt immersed, as the specific gravity of the fluid, is to that of the body. For, in bodies of equal weight, the densities, or specific gravities, are reciprocally as their magnitudes....
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English 18th Century Dances, Band 2

1812 - 352 Seiten
...weights are the same : hence, the magnitude of the whole body, is to the magnitude of the part immersed, as the specific gravity of the fluid, is to that of the body ; for in bodies of equal weight, the densities or specific gravities, arc reciprocally as their magnitudes....
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Tracts on Mathematical and Philosophical Subjects: Comprising Among Numerous ...

Charles Hutton - 1812 - 406 Seiten
...abm becoming equal, then x = am, or 1: m: ; a : x, that is, the whole length is to the part immersed, as the specific gravity of the fluid is to that of the cylinder. And , if the latter be equal to half the former, which is nearly the case of fir timber,...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1819 - 800 Seiten
...body is equal to the weight of a quantity of the fluid of the same bulk ns the part immersed. Hence, as the specific gravity of the fluid, is to that of the body, so is the whole magnitude of the body, to the magnitude of the part immersed. XIII. The specific gravities...
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A Course of Mathematics for the Use of Academies, as Well as Private Tuition

Charles Hutton - 1822 - 680 Seiten
...same^ 323. CoTol. 4. Hence the magnitude of the whole bodys is to the magnitude of the part immersed, as the specific gravity of the fluid, is to that of the body. F^r, in bodies of equal weight, the densities, or specific gravities, are reeipro~ cially as their...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 666 Seiten
...quantity of the fluid displaced by the part immerged, is equal to the weight of the whole body. And hence, as the specific gravity of the fluid is to that of the body, so is the whole magnitude of the body to the part immerged. The specific gravities of equal solids,...
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The Elements of Hydrostatics

Miles Bland - 1824 - 380 Seiten
...the cylinder, (sS).cr* x = s'r'2 110. When a body is immersed in a fluid, the weight lost is to the whole weight as the specific gravity of the fluid is to that of the solid. When a body is immersed in a fluid, the force with wfiich it descends will manifestly be equal...
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