A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page vi
... containing fluid . Sect . I. - Equilibrium II . - Stability of vessels filled with fluid 81 88 94 8888 98 100 CHAPTER IX . Tension of vessels containing fluid 105 CHAPTER X. General equations of the equilibrium of fluids Sect . I ...
... containing fluid . Sect . I. - Equilibrium II . - Stability of vessels filled with fluid 81 88 94 8888 98 100 CHAPTER IX . Tension of vessels containing fluid 105 CHAPTER X. General equations of the equilibrium of fluids Sect . I ...
Page 10
... containing the right angle , Q = 3P . 12. A rectangle is immersed vertically in a fluid with one angle in the surface of the fluid ; to find the pressure upon it , and to determine the inclination of its sides to the surface when the ...
... containing the right angle , Q = 3P . 12. A rectangle is immersed vertically in a fluid with one angle in the surface of the fluid ; to find the pressure upon it , and to determine the inclination of its sides to the surface when the ...
Page 21
... containing spaces , viz . the cube of AB and the cube of ab . In the plane face of the greater cube ABCD take the square DP equal to the plane face db of the smaller cube ; then , by the hypothesis , Pressure of DP on the included fluid ...
... containing spaces , viz . the cube of AB and the cube of ab . In the plane face of the greater cube ABCD take the square DP equal to the plane face db of the smaller cube ; then , by the hypothesis , Pressure of DP on the included fluid ...
Page 34
... containing a known quantity of fluid , is inclined at a given angle to the horizon : to determine the centre of pressure of its base . If r represent the radius of the cylinder , c3 the known quantity of fluid , and a the inclination of ...
... containing a known quantity of fluid , is inclined at a given angle to the horizon : to determine the centre of pressure of its base . If r represent the radius of the cylinder , c3 the known quantity of fluid , and a the inclination of ...
Page 36
... containing three fluids of dif- ferent densities , the length of the board being just equal to the whole depth of the fluid and being divided by the three fluid strata into three equal parts . Let a be the length of each portion of the ...
... containing three fluids of dif- ferent densities , the length of the board being just equal to the whole depth of the fluid and being divided by the three fluid strata into three equal parts . Let a be the length of each portion of the ...
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Common terms and phrases
ABCD Albert Girard altitude angular velocity aperture axis axis of revolution axis vertical base Bernoulli Bossut Traité Cambridge centre of gravity centre of pressure cone constant quantity cos² Daniel Bernoulli denote the density denote the length denote the radius depth determine distance dx dy Edition elastic equal equation filled with fluid floating fluid displaced free surface given hemisphere Hence humidum inclination incompressible fluid integrating James Bernoulli John Bernoulli lamina latus rectum mass motion oscillation parabola paraboloid of revolution parallel particles Phoronomia portion position of equilibrium position of rest problem ratio represent right angles sesquialterum sin² small orifice solid cylinder specific gravity sphere supposed Traité d'Hydrodynamique Treatise triangle tube vertex volume w³y² weight whole pressure
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