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" ... the solid will admit, is filled to a certain mark with distilled water ; the substance is then set to float in it, and the point to which the surface of the water rises in the vessel accurately marked : the body is then totally submerged, and the... "
The American Library of Useful Knowledge - Page 114
1832
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A Treatise on Hydrostatics and Hydrodynamics: For the Use of Students in the ...

Henry Moseley - 1830 - 324 pages
...to CB. Let the whole area = A, CM = x, MN=y, AC = a, BC = b, CP = a, CQ = /3 ; and let <r represent the ratio of the specific gravity of the solid to that of the fluid. — x Also by the first condition of equilibrium, which is satisfied in every position of the...
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A Manual of Chemical Analysis, Qualitative and Quantitative. For the ..., Part 2

Henry Minchin Noad - 1864 - 494 pages
...marked : the body is then totally submerged, and the point to which the surface of the water rises again observed. The elevations of the surface produced by...specific gravity of the solid to that of the liquid. This method is not, however, very often adopted. The following is more convenient : — The body, the...
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A Manual of Chemical Analysis: Qualitative and Quantitative, for the ..., Part 1

Henry Minchin Noad - 1864 - 706 pages
...marked : the body is then totally submerged, and the point to which the surface of the water rises again observed. The elevations of the surface produced by...specific gravity of the solid to that of the liquid. This method is not, however, very often adopted. The following is more convenient : — The body, the...
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A Manual of Chemical Analysis: Qualitative and Quantitative, for the ..., Part 1

Henry Minchin Noad - 1864 - 742 pages
...point to which the surface of the water rises again observed. The elevations of the surface produced hy the partial and total submersion, indicate the portions...specific gravity of the solid to that of the liquid. This method is not, however, very often adopted. The following is more convenient : — The body, the...
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A Manual of Chemical Analysis: Qualitative and Quantitative, for the ..., Part 1

Henry Minchin Noad - 1864 - 694 pages
...marked : the body is then totally submerged, and the point to which the surface of the water rises again observed. The elevations of the surface produced by...immersed, and are therefore in the ratio of the specific gr.-ivity of the solid to that of the liquid. This method is not, however, very often adopted. The...
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The Works of Archimedes

Archimedes - 1897 - 532 pages
...there will be stable equilibrium in that position only, provided that k •{ (h — \p), or, if s be the ratio of the specific gravity of the solid to that of the fluid (= Tffh* in this case), Proposition 5. Given a right segment of a paraboloid of revolution such...
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The Works of Archimedes

Archimedes - 1912 - 568 pages
...That is, ^^-^lB = |Oa -If, or J.-R = (A/Vf;p). Thus (4 JV - f^) a : .4^" = AR' : AN 1 , and therefore the ratio of the specific gravity of the solid to that of the fluid is, by the enunciation, not less than the ratio AR* : AN\ But, by Prop. 1, the former ratio is...
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A History of Greek Mathematics, Volume 2

Sir Thomas Little Heath - 1921 - 612 pages
...Let h be the axis or height of the segment, p the principal parameter of the generating parabola, 8 the ratio of the specific gravity of the solid to that of the fluid (s always< 1). The segment is supposed to be always placed so that its base is either entirely...
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the works of archimedes

Arhimēdēs - 2004 - 522 pages
...-^ . — Therefore there will be stable equilibrium in that position only, provided that or, if s be the ratio of the specific gravity of the solid to that of the fluid (= Jf/h' in this case), Proposition 5. Given a right segment of a paraboloid of revolution such...
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