A Treatise on Hydromechanics, Part 1 |
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Page 5
... constant for all positions of the plane through P. B B * The following considerations may complete this part of the proof : Let AB , A'B ' be the two planes through P ; p , p ′ the mean densities of APA ' , BPB ' ; and f , f ' the ...
... constant for all positions of the plane through P. B B * The following considerations may complete this part of the proof : Let AB , A'B ' be the two planes through P ; p , p ′ the mean densities of APA ' , BPB ' ; and f , f ' the ...
Page 7
... constant , experiment shews that the pressure varies inversely as the space occupied by the fluid , that is ... constant , to be determined experimentally for the fluid at a given temperature . If v be the volume of the gas at the ...
... constant , experiment shews that the pressure varies inversely as the space occupied by the fluid , that is ... constant , to be determined experimentally for the fluid at a given temperature . If v be the volume of the gas at the ...
Page 8
... constant . 12 . Measures of Weight , Mass , and Density . The weight , mass , and density of a fluid are measured in the same way as for solid bodies . If W be the weight of a mass M of fluid , then , in accord- ance with the usual ...
... constant . 12 . Measures of Weight , Mass , and Density . The weight , mass , and density of a fluid are measured in the same way as for solid bodies . If W be the weight of a mass M of fluid , then , in accord- ance with the usual ...
Page 15
... constant , the equations ( B ) become dx dy dZ dy dX dz = dy dx dy dz ' dz dx ' which are in this case always satisfied , and therefore the equilibrium of a homogeneous fluid under the action of such forces is always possible . 19 ...
... constant , the equations ( B ) become dx dy dZ dy dX dz = dy dx dy dz ' dz dx ' which are in this case always satisfied , and therefore the equilibrium of a homogeneous fluid under the action of such forces is always possible . 19 ...
Page 16
... constant can be determined . In the case of elastic fluids , if the mass of fluid and the space within which it is contained be given , the constant is determined . 20. The equation for determining p may also be obtained in the ...
... constant can be determined . In the case of elastic fluids , if the mass of fluid and the space within which it is contained be given , the constant is determined . 20. The equation for determining p may also be obtained in the ...
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Common terms and phrases
2nd edition 4th edition Aeneid angular velocity axes axis vertical body Camb Cambridge catenoid centre of gravity centre of pressure centroid co-ordinates College cone constant cos² Crown 8vo curvature curved surface cylinder density depth determined displaced fluid distance dx dy dy dx dy dz dz dy elastic equal pressure equation equilibrium Fcap floats fluid pressure force free surface given homogeneous liquid horizontal hyperbola immersed lamina latus rectum mass metacentre obtain parabola paraboloid parallel particle perpendicular plane of floatation position of equilibrium prove quantity radius ratio resultant pressure revolution rotation shew Small post 8vo solid solid of revolution sphere spherical surface of revolution surfaces of equal tangent temperature tension Translated varies vertex vertical angle vertical plane vessel vols volume weight whole pressure
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