A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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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 . I. 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 . I. 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 ...
Page 143
... Bernoulli , although un- objectionable in the present state of science , accordingly failed to satisfy the minds of the philosophers of his day . Attempts were made by Maclaurin and John Bernoulli to obviate the uncertainty at that time ...
... Bernoulli , although un- objectionable in the present state of science , accordingly failed to satisfy the minds of the philosophers of his day . Attempts were made by Maclaurin and John Bernoulli to obviate the uncertainty at that time ...
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Common terms and phrases
a² 4 a² ABCD ah³ Albert Girard altitude angular velocity aperture axem axis of revolution axis vertical b2 a² base Bernoulli Bossut centre of gravity centre of pressure cone constant quantity cos² Daniel Bernoulli denote the density denote the length depth determine distance dx dy equal equation filled with fluid floating fluid displaced free surface given hemisphere Hence humidum inclination incompressible fluid James Bernoulli John Bernoulli lamina latus rectum mass middle point motion parabola paraboloid of revolution parallel particles portion position of equilibrium position of rest quæ represent right angles sesquialterum sin² small orifice solid cylinder specific gravity sphere supposed Traité d'Hydrodynamique triangle tube vertex vertical line volume w³y² weight whole pressure πα