A Treatise on Hydromechanics, Part 1 |
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Page 9
... prove that the pressure at any point of CD is where a = AB . dP adx If A be a fixed point , and AB , AD fixed in direction , and d2P if AB = x and AD = y , the pressure at C = dxdy 2. In the equation W = gp V , if EXAMPLES . 9.
... prove that the pressure at any point of CD is where a = AB . dP adx If A be a fixed point , and AB , AD fixed in direction , and d2P if AB = x and AD = y , the pressure at C = dxdy 2. In the equation W = gp V , if EXAMPLES . 9.
Page 11
... prove that the density varies most rapidly along the normal to the surface of equal density containing the point ; and of direc- tions in the tangent plane to this surface , the tangents to its principal sections are those in which the ...
... prove that the density varies most rapidly along the normal to the surface of equal density containing the point ; and of direc- tions in the tangent plane to this surface , the tangents to its principal sections are those in which the ...
Page 21
... prove that the conditions of equilibrium of a finite mass of fluid are satisfied by the equations of Art . 15 . Consider the fluid within a closed surface S , and take l , m , n as the direction - cosines of the normal at any point ...
... prove that the conditions of equilibrium of a finite mass of fluid are satisfied by the equations of Art . 15 . Consider the fluid within a closed surface S , and take l , m , n as the direction - cosines of the normal at any point ...
Page 22
... prove that p ( Xdx + Ydy + Zdz ) must be a perfect differential , by considering the equilibrium of a spherical element of fluid . For the pressures of the fluid on the surface of the element are all in direction of its centre , and ...
... prove that p ( Xdx + Ydy + Zdz ) must be a perfect differential , by considering the equilibrium of a spherical element of fluid . For the pressures of the fluid on the surface of the element are all in direction of its centre , and ...
Page 33
... prove that - - r1 ( P2 − P3 ) + r2 ( P3 − P1 ) + rs ( P1 − P2 ) = 0 . 2 3 1 2. A heavy uniform fluid just fills a sphere : shew that a plane drawn through a horizontal tangent at an extremity of a horizontal diameter will divide the ...
... prove that - - r1 ( P2 − P3 ) + r2 ( P3 − P1 ) + rs ( P1 − P2 ) = 0 . 2 3 1 2. A heavy uniform fluid just fills a sphere : shew that a plane drawn through a horizontal tangent at an extremity of a horizontal diameter will divide the ...
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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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