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" 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. "
A Course of Mathematics for the Use of Academies: As Well as Private Tuition - 205 ページ
Charles Hutton 著 - 1826
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A General History of Mathematics from the Earliest Times to the Middle of ...

Charles Bossut - 1803 - 580 ページ
...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...

A Plain Elementary and Practical System of Natural Experimental Philosophy ...

John Ewing - 1809 - 672 ページ
...weighing them in different fluids. 11. The weight, which a body loses in a fluid, is to its whole weight, as the specific gravity of the fluid is to that of the body. Because the weight, which the body loses in the fluid, is the weight of the fluid equal in bulk with...

A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 442 ページ
...part ; and therefore th# weights are the same. 323. Corol. 4. Hence the magnitude of the whole body, is to the magnitude of the part immersed, as the specific...gravities; are reciprocally as their magnitudes. 324. Carol. 5. And because, when the weight of a body taken in a fluid, is subtracted from its weight out...

A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - 1811 - 494 ページ
...are the 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...are reciprocally as their magnitudes. 324. Corol. 5. And becaiisey when the weight of a body taken in a fluid, is subtracted from its weight out of the...

English 18th Century Dances, 第 2 巻

1812 - 352 ページ
...the immersed part, and therefore the weights are the same : hence, the magnitude of the whole body, is to the magnitude of the part immersed, as the specific...equal weight, the densities or specific gravities, arc reciprocally as their magnitudes. After having considered hydrostatics, by which the weight and...

Tracts on Mathematical and Philosophical Subjects: Comprising Among Numerous ...

Charles Hutton - 1812 - 406 ページ
...opposite forces bx and 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,...

The Mathematical Questions Proposed in the Ladies' Diary: And Their ..., 第 4 巻

Thomas Leybourn - 1817 - 454 ページ
...of hydrostatics, (see ror. 4, p. 220, vol. 2, Dr. Hutton's Course) the magnitude of the whole cone, is to the magnitude of the part immersed, as the specific gravity of the fluid to that of the body, or as 8 to 5 ; but the whole cone, and the part immersed being similar, their...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., 第 5 巻

John Mason Good - 1819 - 800 ページ
...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...

A Course of Mathematics for the Use of Academies, as Well as Private Tuition

Charles Hutton - 1822 - 680 ページ
...part ; and therefore $he weights are the 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...

Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 666 ページ
...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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