A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page 8
... Bernoulli , the axis of the loop being vertical , and its vertex just touching the surface of the fluid . The polar equation to the curve is r2 = a2 cos 20 , the axis of the loop being the prime radius vector , and the vertex being the ...
... Bernoulli , the axis of the loop being vertical , and its vertex just touching the surface of the fluid . The polar equation to the curve is r2 = a2 cos 20 , the axis of the loop being the prime radius vector , and the vertex being the ...
Page 91
... Bernoulli : Comment . Acad . Petrop . 1738 , p . 163 . 3. A cone , the vertical angle of which is π , and of which the density throughout any section perpendicular to the axis varies inversely as the square of the distance of the ...
... Bernoulli : Comment . Acad . Petrop . 1738 , p . 163 . 3. A cone , the vertical angle of which is π , and of which the density throughout any section perpendicular to the axis varies inversely as the square of the distance of the ...
Page 93
... Bernoulli : Comment . Acad . Petrop . 1738 , p . 162 . Encycl . Metrop . , Mix . Sc . , Vol . 1. p . 193 . 8. To investigate the nature of the equilibrium of a floating sphere . The equilibrium will always be neutral . 9. To find the ...
... Bernoulli : Comment . Acad . Petrop . 1738 , p . 162 . Encycl . Metrop . , Mix . Sc . , Vol . 1. p . 193 . 8. To investigate the nature of the equilibrium of a floating sphere . The equilibrium will always be neutral . 9. To find the ...
Page 105
... Bernoulli . See Jacobi Bernoulli Opera , tom . II . p . 1043 , de Curvatura Fili ab innumeris potentiis extensi . 1. A tube , every horizontal section of which is circular , is filled with fluid which is acted on by gravity , the axis ...
... Bernoulli . See Jacobi Bernoulli Opera , tom . II . p . 1043 , de Curvatura Fili ab innumeris potentiis extensi . 1. A tube , every horizontal section of which is circular , is filled with fluid which is acted on by gravity , the axis ...
Page 112
... Bernoulli had already laid down substantially the same principle in his Hydrodynamique , section seconde , § 3 p . 18 , in the following words . " In aquâ stagnante tubus utcumque formatus fingi potest , in quo utique aqua situm ...
... Bernoulli had already laid down substantially the same principle in his Hydrodynamique , section seconde , § 3 p . 18 , in the following words . " In aquâ stagnante tubus utcumque formatus fingi potest , in quo utique aqua situm ...
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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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