A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page iii
... condition of their knowledge . In carrying out this , my primary object , I have omitted no opportunity of introducing incidentally to the notice of the reader , by historical references , those remarkable memoirs and works of ...
... condition of their knowledge . In carrying out this , my primary object , I have omitted no opportunity of introducing incidentally to the notice of the reader , by historical references , those remarkable memoirs and works of ...
Page vii
... conditions 149 III . - Finite horizontal orifices . Uniform motion 156 IV . Finite vertical orifices . Uniform motion V. - Finite horizontal apertures of any magnitude . Variable motion VI . Small finite vertical apertures . Variable ...
... conditions 149 III . - Finite horizontal orifices . Uniform motion 156 IV . Finite vertical orifices . Uniform motion V. - Finite horizontal apertures of any magnitude . Variable motion VI . Small finite vertical apertures . Variable ...
Page 40
... condition necessary that the three equations defining the direction of the resultant force may coexist ; in other words , this relation is the condition that the pressures on the elements of the surface may be all reducible to a single ...
... condition necessary that the three equations defining the direction of the resultant force may coexist ; in other words , this relation is the condition that the pressures on the elements of the surface may be all reducible to a single ...
Page 49
... conditions are equivalent to the two following conditions , viz . that the weight of the fluid displaced be equal to that of the solid , and that the line joining the centres of gravity of the solid and fluid dis- placed be vertical ...
... conditions are equivalent to the two following conditions , viz . that the weight of the fluid displaced be equal to that of the solid , and that the line joining the centres of gravity of the solid and fluid dis- placed be vertical ...
Page 56
... condition that the angle O is the only one immersed . Hence we must have a = b , and similarly , from the second and third equations , b c = a . Thus it appears that the cube can float in only one way , provided that only one angle be ...
... condition that the angle O is the only one immersed . Hence we must have a = b , and similarly , from the second and third equations , b c = a . Thus it appears that the cube can float in only one way , provided that only one angle be ...
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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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