A Treatise on Hydromechanics, Part 1 |
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Page 10
... axis vertical and vertex downwards , is greater than the density at the surface by a quantity varying as the depth of the point . Shew that the density of the liquid when mixed up so as to be uniform will be that of the liquid ...
... axis vertical and vertex downwards , is greater than the density at the surface by a quantity varying as the depth of the point . Shew that the density of the liquid when mixed up so as to be uniform will be that of the liquid ...
Page 23
... axis of z vertical , and measuring z downwards , X = 0 , Y = 0 , Z = g , and the equation ( a ) becomes dp = gpdz , an equation which may also be obtained directly by consider- ing the equilibrium of a small vertical cylinder . In the ...
... axis of z vertical , and measuring z downwards , X = 0 , Y = 0 , Z = g , and the equation ( a ) becomes dp = gpdz , an equation which may also be obtained directly by consider- ing the equilibrium of a small vertical cylinder . In the ...
Page 24
... axis vertical . Measuring x upwards from the lowest point of the liquid , let y = f ( x ) be the generating curve of the first vessel , and y = ( x ) of the second . Then , if the stratum at the height x in the first vessel correspond ...
... axis vertical . Measuring x upwards from the lowest point of the liquid , let y = f ( x ) be the generating curve of the first vessel , and y = ( x ) of the second . Then , if the stratum at the height x in the first vessel correspond ...
Page 26
... axis of which is vertical , contains a given mass of air . Measuring z from the top of the cylinder , p C 92 € k k kc 1 ρ = .. if M be the given mass , a the radius , and h the height of the cylinder , M : Cgh = [ " [ " pwa2dz = wa2 ( e ...
... axis of which is vertical , contains a given mass of air . Measuring z from the top of the cylinder , p C 92 € k k kc 1 ρ = .. if M be the given mass , a the radius , and h the height of the cylinder , M : Cgh = [ " [ " pwa2dz = wa2 ( e ...
Page 28
... axis , the preceding equations will enable us to determine the pressure at any point , and the nature of the ... vertical axis ; required to deter- mine the pressure at any point , and the surfaces 28 ROTATING FLUID . 30-31 Rotating fluid.
... axis , the preceding equations will enable us to determine the pressure at any point , and the nature of the ... vertical axis ; required to deter- mine the pressure at any point , and the surfaces 28 ROTATING FLUID . 30-31 Rotating fluid.
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Common terms and phrases
2nd edition 3rd edition 4th edition Aeneid angular velocity axis vertical body Books Camb Cambridge catenary catenoid centre of gravity centre of pressure cone constant cosē Crown 8vo curvature cylinder Demy 8vo density depth distance dx dy dy dx elastic English equal pressure equation equilibrium equilibrium is stable F. A. PALEY Fcap floats fluid pressure force free surface given horizontal immersed J. H. FREESE John's College lamina latus rectum LL.D mass mercury metacentre obtain paraboloid particle perpendicular plane of floatation position of equilibrium prove quantity radius resultant pressure revised revolution rotation sewed shew Small post 8vo solid solid of revolution spherical spheroid surface of revolution surfaces of equal tangent temperature Texts Translated Trinity College vertex vessel vols volume weight whole pressure
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