A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page v
... Plane Surfaces of Immersed Solids . Sect . I. - Homogeneous incompressible fluids II . - Heterogeneous incompressible fluids CHAPTER III . Resultant pressures of fluids on curved surfaces of immersed solids CHAPTER IV . Equilibrium of ...
... Plane Surfaces of Immersed Solids . Sect . I. - Homogeneous incompressible fluids II . - Heterogeneous incompressible fluids CHAPTER III . Resultant pressures of fluids on curved surfaces of immersed solids CHAPTER IV . Equilibrium of ...
Page 2
... plane surfaces , were first laid down by Stevin . His hydro- statical investigations may be seen in the third volume of his Hypomnemata Mathematica , translated into Latin from the Dutch by Snell and published at Leyden in the year 1608 ...
... plane surfaces , were first laid down by Stevin . His hydro- statical investigations may be seen in the third volume of his Hypomnemata Mathematica , translated into Latin from the Dutch by Snell and published at Leyden in the year 1608 ...
Page 6
... plane bisecting the axis . Let be the inclination of any radius of the bowl to its axis ; then , r representing the radius , the pressure on an annular strip of the bowl included between two consecutive horizontal planes , will be equal ...
... plane bisecting the axis . Let be the inclination of any radius of the bowl to its axis ; then , r representing the radius , the pressure on an annular strip of the bowl included between two consecutive horizontal planes , will be equal ...
Page 7
... plane surface , bounded by the arc of a parabola and the tangents at its extremities , is immersed in water , the point of intersection of the tangents coinciding with the surface of the fluid , and the area of the parabola being ...
... plane surface , bounded by the arc of a parabola and the tangents at its extremities , is immersed in water , the point of intersection of the tangents coinciding with the surface of the fluid , and the area of the parabola being ...
Page 8
... in its edge uppermost ; to find its position when the sum of the pressures on the curve and the plane surfaces is the greatest possible . Let be the inclination of the axis of the hemisphere 8 NORMAL PRESSURE OF FLUIDS .
... in its edge uppermost ; to find its position when the sum of the pressures on the curve and the plane surfaces is the greatest possible . Let be the inclination of the axis of the hemisphere 8 NORMAL PRESSURE OF FLUIDS .
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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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