A Treatise on Hydromechanics, Part 1 |
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Page 23
... horizontal planes . Hence the free surface is a horizontal plane , and , taking the origin in the free surface , and II as the external pressure , p = gpz + II , If there be no pressure on the free surface , p = gpz , or the pressure at ...
... horizontal planes . Hence the free surface is a horizontal plane , and , taking the origin in the free surface , and II as the external pressure , p = gpz + II , If there be no pressure on the free surface , p = gpz , or the pressure at ...
Page 29
... rotating about its axis , and suppose the whole mass of fluid given ; then , to determine the constant , consider the fluid arranged in ele- mentary horizontal rings each of uniform density : let r ROTATING FLUID . 29.
... rotating about its axis , and suppose the whole mass of fluid given ; then , to determine the constant , consider the fluid arranged in ele- mentary horizontal rings each of uniform density : let r ROTATING FLUID . 29.
Page 30
William Henry Besant. mentary horizontal rings each of uniform density : let r be the radius of one of these rings at a height z , dr its horizontal and dz its vertical thickness , h the height , and a the radius of the cylinder : the ...
William Henry Besant. mentary horizontal rings each of uniform density : let r be the radius of one of these rings at a height z , dr its horizontal and dz its vertical thickness , h the height , and a the radius of the cylinder : the ...
Page 33
... horizontal tangent at an extremity of a horizontal diameter will divide the surface of the sphere into parts the whole pressures on which are equal , if it is inclined at an angle tan x to the vertical where 3 — 2x2 − 2 = 0 . B. H. ...
... horizontal tangent at an extremity of a horizontal diameter will divide the surface of the sphere into parts the whole pressures on which are equal , if it is inclined at an angle tan x to the vertical where 3 — 2x2 − 2 = 0 . B. H. ...
Page 34
... horizontal ; compare the pressures on its several sides with the weight of the fluid . 8. Prove that if the forces per unit of mass at x , y , z parallel to the axes are y ( a - z ) , x ( a − z ) , xy , the surfaces of equal pressure ...
... horizontal ; compare the pressures on its several sides with the weight of the fluid . 8. Prove that if the forces per unit of mass at x , y , z parallel to the axes are y ( a - z ) , x ( a − z ) , xy , the surfaces of equal pressure ...
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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 cos² 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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