A Treatise on HydrostaticsMacmillan and Company, 1894 - 536 pages |
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Page 3
... theorems of our science clearly enunciated and explained ; but the modern exact Theory of Hydrostatics is generally held to originate with Pascal ( 1653 ) , in his two treatises , Traité de l'équilibre des liqueurs and Traité de la ...
... theorems of our science clearly enunciated and explained ; but the modern exact Theory of Hydrostatics is generally held to originate with Pascal ( 1653 ) , in his two treatises , Traité de l'équilibre des liqueurs and Traité de la ...
Page 4
... theorems may be established , and by the elegance of its mathematical operations ; so that the subject may be considered as the Euclidean Pure Geometry of the Mechanical Sciences . Montucla's Histoire des Mathématiques , t . iii ...
... theorems may be established , and by the elegance of its mathematical operations ; so that the subject may be considered as the Euclidean Pure Geometry of the Mechanical Sciences . Montucla's Histoire des Mathématiques , t . iii ...
Page 7
... plane in its interior must vanish , and the stress must be entirely normal to the plane - this is the mechanical axiom which is the founda- tion of the Mathematical Theory of Hydrostatics . 8 THE STRESS IN A SUBSTANCE . The Theorems of.
... plane in its interior must vanish , and the stress must be entirely normal to the plane - this is the mechanical axiom which is the founda- tion of the Mathematical Theory of Hydrostatics . 8 THE STRESS IN A SUBSTANCE . The Theorems of.
Page 8
Sir George Greenhill. 8 THE STRESS IN A SUBSTANCE . The Theorems of Hydrostatics are thus true for all stagnant fluids , however viscous they may be ; it is only when we come to Hydrodynamics , the Science of the Motion of Fluids , that ...
Sir George Greenhill. 8 THE STRESS IN A SUBSTANCE . The Theorems of Hydrostatics are thus true for all stagnant fluids , however viscous they may be ; it is only when we come to Hydrodynamics , the Science of the Motion of Fluids , that ...
Page 16
... THEOREM . " The pressures in any two directions at a point of a fluid are equal . " Let the plane of the paper be that of the two given directions , and draw an isosceles triangle whose sides are perpendicular to the two given ...
... THEOREM . " The pressures in any two directions at a point of a fluid are equal . " Let the plane of the paper be that of the two given directions , and draw an isosceles triangle whose sides are perpendicular to the two given ...
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Common terms and phrases
angle angular velocity atmospheric pressure axis B₂ balloon barometer barometric height Bernoulli's Theorem Boyle's Law catenoid centre of pressure circular cm³ cone cross section cubic curvature curve of buoyancy curve of flotation curve of statical cylinder denotes depth diameter displacement distance diving bell draft dynamical stability ellipse equal pressure equation equilibrium feet filled FLOATING BODY fluid force free surface ft-lb ft-tons ft² ft³ given gravity heel height h horizontal plane hydrometer hydrostatic hyperbola immersed inches inclined lb/ft² lb/in² length mercury metacentric height parabola paraboloid parallel pendulum perpendicular piston plumb line position of equilibrium Prove pump radius rotation ship siphon solid specific gravity sphere spherical suppose surface of buoyancy surfaces of equal tangent temperature tension tetrahedron theorem thrust tons tube upright position V₁ valve velocity vertex vessel volume W₁ water line area weight
Popular passages
Page 51 - Pitcher, that so at least he might be able to get a little of it. But his strength was not sufficient for this. At last seeing some pebbles lie near the place, he cast them one by one into the Pitcher ; and thus, by degrees, raised the water up to the very brim, and satisfied his thirst.
Page 91 - Archimedes stated that a body immersed in a fluid is buoyed up by a force equal to the weight of the displaced fluid.
Page 104 - ... ten imperial standard pounds weight of distilled water weighed in air against brass weights, with the water and the air at the temperature of sixty-two degrees of Fahrenheit's thermometer, and with the barometer at thirty inches.
Page 131 - Bronze contains 91 per cent, of copper, 6 per cent. of zinc, and 3 per cent, of tin. A mass of bell-metal (consisting of copper and tin only) and bronze fused together is found to contain 88 per cent. of copper, 4-875 per cent, of zinc, and 7-125 of tin.
Page 5 - When this continuous alteration of form is only produced by stresses exceeding a certain value, the substance is called a Solid, however soft it may be. When the very smallest stress, if continued long enough, will cause a constantly increasing change of form, the body must be regarded as a Viscous fluid) however hard it may be.
Page 202 - ... horizontal: if 2a be the vertical angle of the cone, and /3 the angle between the plane base and the shortest generating line, shew that cot /3 = cot 4a - } cosec 4a.
Page 101 - The weight in vacuo of the platinum weight (mentioned in the First Schedule to this Act), and by this Act declared to be the imperial standard for determining the imperial standard pound, shall be the legal standard measure of weight, and of measures having reference to weight, and shall be called the imperial standard pound, and shall be the only unit or standard of weight from which all other weights and all measures having reference to weight shall be ascertained.
Page 37 - A hollow cone, whose axis is vertical and base downwards, is filled with equal volumes of two liquids, whose densities are in the ratio of 3 : 1 ; prove that the pressure at a point in the base is (3 - ,/4) times as great as when the vessel is filled with the lighter fluid.
Page 278 - Defence of the Doctrine touching the Spring and Weight of the Air . . . against the Objections of F.
Page 104 - The unit or standard measure of capacity from which all other measures of capacity, as well for liquids as for dry goods, shall be derived, shall be the gallon containing ten imperial standard pounds weight of distilled water weighed in air against brass weights, with the water and the air at the temperature of sixty-two degrees of Fahrenheit's thermometer, and with the barometer at thirty...