A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page 11
... faces . If P be the pressure on a higher and Q on a lower face , then Q = P ( 2√3 - 1 ) . 17. A symmetrical pyramid is immersed in fluid with the surface of which its vertex just coincides ; the axis of the pyramid is vertical : to ...
... faces . If P be the pressure on a higher and Q on a lower face , then Q = P ( 2√3 - 1 ) . 17. A symmetrical pyramid is immersed in fluid with the surface of which its vertex just coincides ; the axis of the pyramid is vertical : to ...
Page 21
... face db of the smaller cube ; then , by the hypothesis , Pressure of DP on the included fluid But : pressure of db ... faces AE , ae ; these planes will divide the fluids into two parts which will press against each other with the same ...
... face db of the smaller cube ; then , by the hypothesis , Pressure of DP on the included fluid But : pressure of db ... faces AE , ae ; these planes will divide the fluids into two parts which will press against each other with the same ...
Page 22
... faces DB , db , will be as the sums of the forces of the separate particles , or , the number of the particles at these 1 r r faces being the same , as : 1 that is , as ab : AB . Also Pressure of DP : pressure of DB :: ( ab ) 2 : ( AB ) ...
... faces DB , db , will be as the sums of the forces of the separate particles , or , the number of the particles at these 1 r r faces being the same , as : 1 that is , as ab : AB . Also Pressure of DP : pressure of DB :: ( ab ) 2 : ( AB ) ...
Page 34
... faces . If a denote the length of each edge of the cube , and if the lowest point of the cube be taken as the origin of coordinates , the axes of coordinates being two sides of a lower face , the centre of pressure of this face is given ...
... faces . If a denote the length of each edge of the cube , and if the lowest point of the cube be taken as the origin of coordinates , the axes of coordinates being two sides of a lower face , the centre of pressure of this face is given ...
Page 89
... faces . Let a = the length , and b = the breadth of its plane of float- ation , and c = the depth of the parallelopiped , the line of rotation being supposed to be perpendicular to the length a . Then + a Ak2 = ] bx3dx = √1⁄2ba3 : - Ja ...
... faces . Let a = the length , and b = the breadth of its plane of float- ation , and c = the depth of the parallelopiped , the line of rotation being supposed to be perpendicular to the length a . Then + a Ak2 = ] bx3dx = √1⁄2ba3 : - Ja ...
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Common terms and phrases
Albert Girard altitude angular velocity aperture axem axes axis vertical base Bernoulli body Bossut Bossut Traité Cambridge centre of gravity centre of pressure coinciding cone cos² cube Daniel Bernoulli denote the density denote the length depth determine distance dx dy Edition efflux elastic equal equation filled with fluid floating fluid displaced force free surface given hemisphere Hence humidum Hydrodynamique immersed vertically inclination incompressible fluid James Bernoulli lamina late Fellow latus rectum motion parabola parallel particles portion position of equilibrium position of rest problem quæ ratio required pressure resultant pressure right angles sesquialterum sin² small orifice solid cylinder specific gravity sphere supposed tangent Treatise triangle Trinity College unit of pressure University of Cambridge vertex vertical line vessel volume weight whole pressure
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