A Treatise on Hydromechanics, Part 1 |
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Page 4
... distance from each other ; about PQ as axis describe a cylinder of very small radius , draw a plane through Q perpendicular to QP , draw any plane through P , and consider the equili- brium of the mass PQ . * Seconde Année , 1827 , p ...
... distance from each other ; about PQ as axis describe a cylinder of very small radius , draw a plane through Q perpendicular to QP , draw any plane through P , and consider the equili- brium of the mass PQ . * Seconde Année , 1827 , p ...
Page 14
... distances from those centres , we have 20 - Y - x = = { • ( r ) 2 = a } , x = = { p ( r ) 2 = 1 } , z = > { $ m ) 2 = 0 } , r r r where ( a , b , c ) are co - ordinates of the centre to which the force ( r ) tends . f and Now p2 = ( x ...
... distances from those centres , we have 20 - Y - x = = { • ( r ) 2 = a } , x = = { p ( r ) 2 = 1 } , z = > { $ m ) 2 = 0 } , r r r where ( a , b , c ) are co - ordinates of the centre to which the force ( r ) tends . f and Now p2 = ( x ...
Page 16
... distances , Art . ( 18 ) , this equation takes the form k dp = Σ $ ( r ) dr , Σφ and p can be determined . Р If the temperature be variable , the relation between the pressure , density , and temperature is found to be p = kp ( 1+ at ) ...
... distances , Art . ( 18 ) , this equation takes the form k dp = Σ $ ( r ) dr , Σφ and p can be determined . Р If the temperature be variable , the relation between the pressure , density , and temperature is found to be p = kp ( 1+ at ) ...
Page 19
... distance between the surfaces of equal pressure , and as the mass of the element is directly proportional to this distance , it follows that the density must be constant , that is , the surfaces of equal pressure are also surfaces of ...
... distance between the surfaces of equal pressure , and as the mass of the element is directly proportional to this distance , it follows that the density must be constant , that is , the surfaces of equal pressure are also surfaces of ...
Page 27
... distance . Taking the fixed point as origin , the expression for the pressure at any point is p = С — —μp ( x2 + y2 + z2 ) = C − ± μpr2 , - where r is the distance from the origin ; and if Ta3 be the given volume , the free surface is ...
... distance . Taking the fixed point as origin , the expression for the pressure at any point is p = С — —μp ( x2 + y2 + z2 ) = C − ± μpr2 , - where r is the distance from the origin ; and if Ta3 be the given volume , the free surface is ...
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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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