A Treatise on Hydromechanics, Part 1 |
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Page 1
... plane be made to divide such a fluid in any direction , no resistance will be offered to the division , and the pressure exerted by the fluid on the plane B. H. 1 will be entirely normal to it ; that is , HYDROSTATICS CHAPTER I ARTICLES ...
... plane be made to divide such a fluid in any direction , no resistance will be offered to the division , and the pressure exerted by the fluid on the plane B. H. 1 will be entirely normal to it ; that is , HYDROSTATICS CHAPTER I ARTICLES ...
Page 4
... plane perpendi- cular to AD are the same ( each equal to a suppose ) , we have ultimately , or pa = p'a , p = p ... plane through Q perpendicular to QP , draw any plane through P , and consider the equili- brium of the mass PQ ...
... plane perpendi- cular to AD are the same ( each equal to a suppose ) , we have ultimately , or pa = p'a , p = p ... plane through Q perpendicular to QP , draw any plane through P , and consider the equili- brium of the mass PQ ...
Page 5
... plane through P. * 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 accelerations of the Q forces which are ...
... plane through P. * 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 accelerations of the Q forces which are ...
Page 12
... planes per- pendicular to PQ . Let a be the area of the section of the cylinder perpen- dicular to its axis , p the pressure at P , and p + dp the pressure at Q. Then , a being very small , the pressure at any point of the plane P will ...
... planes per- pendicular to PQ . Let a be the area of the section of the cylinder perpen- dicular to its axis , p the pressure at P , and p + dp the pressure at Q. Then , a being very small , the pressure at any point of the plane P will ...
Page 17
... plane of the angle 0 , and of the line perpendicular to r in that plane , it will be found that dp P = Rdr + Nr sin edo + Trde . In a similar manner the expression for dp may be obtained for any other system of co - ordinates . 21 ...
... plane of the angle 0 , and of the line perpendicular to r in that plane , it will be found that dp P = Rdr + Nr sin edo + Trde . In a similar manner the expression for dp may be obtained for any other system of co - ordinates . 21 ...
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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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