A Treatise On Hydrostatics volume 2
A Treatise On Hydrostatics volume 2
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In our eReader you can find the full English version of the book. Read A Treatise On Hydrostatics volume 2 Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Treatise On Hydrostatics volume 2
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.. .. (n) Hence the second part of 8 S is fcosO . Do> . .. .. . (ia) taken all round the curve of contact of the fluid and the vessel. Then, we have 8= (J r + ^)5d+ cos0do>;. . (13) and (9) becomes + - {(zXkk cos 6)du) = o, (14) since 8 -Q is obviously the integral of all such elements as IT KB, i. E. , /^6). Now observe, however, that (14) is the equation of Virtual Work irrespective of the condition that the volume of the fluid remains the same after displacement as before. The excess of the ...new volume over the old is obviously the sum of such prismatic elements of volume as that contained between the areas PQFJ and P'Q'F'J' (Fig. 34) whose expression is bndS, added to the sum all round the curve ARLIBNA of such wedge elements as libB'BF. The volume of this wedge is ^ 8 n . Cos 6 d a>, if 8 n denotes li, the normal distance between the new and the old surface of the fluid at any contour point, / ; and hence the sum of the wedges will add nothing to the contour integral /(iX kk cosd)d in (14), since each element of this sum is an infinitesimal compared with do>.
What to read after A Treatise On Hydrostatics volume 2?
You can find similar books in the "Read Also" column, or choose other free books by George Minchin Minchin to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
.. .. (n) Hence the second part of 8 S is fcosO . Do> . .. .. . (ia) taken all round the curve of contact of the fluid and the vessel. Then, we have 8= (J r + ^)5d+ cos0do>;. . (13) and (9) becomes + - {(zXkk cos 6)du) = o, (14) since 8 -Q is obviously the integral of all such elements as IT KB, i. E. , /^6). Now observe, however, that (14) is the equation of Virtual Work irrespective of the condition that the volume of the fluid remains the same after displacement as before. The excess of the ...new volume over the old is obviously the sum of such prismatic elements of volume as that contained between the areas PQFJ and P'Q'F'J' (Fig. 34) whose expression is bndS, added to the sum all round the curve ARLIBNA of such wedge elements as libB'BF. The volume of this wedge is ^ 8 n . Cos 6 d a>, if 8 n denotes li, the normal distance between the new and the old surface of the fluid at any contour point, / ; and hence the sum of the wedges will add nothing to the contour integral /(iX kk cosd)d
What to read after A Treatise On Hydrostatics volume 2?
You can find similar books in the "Read Also" column, or choose other free books by George Minchin Minchin to read onlineMoreLess
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