A Treatise on HydrostaticsMacmillan and Company, 1894 - 536 pages |
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Page 16
... base . Then since these three forces are in equilibrium , and since R makes equal angles with P and Q , therefore P and Q must be equal . But the faces on which P and Q act are also equal ; therefore the pressures , or thrusts per unit ...
... base . Then since these three forces are in equilibrium , and since R makes equal angles with P and Q , therefore P and Q must be equal . But the faces on which P and Q act are also equal ; therefore the pressures , or thrusts per unit ...
Page 30
... base of A square feet , and consider the equilibrium of the liquid . filling the part of this cylinder cut off by the two hori- zontal planes ( fig . 17 ) ; the liquid is acted upon by a vertical downward thrust p.4 lb on its upper end ...
... base of A square feet , and consider the equilibrium of the liquid . filling the part of this cylinder cut off by the two hori- zontal planes ( fig . 17 ) ; the liquid is acted upon by a vertical downward thrust p.4 lb on its upper end ...
Page 39
... base down- wards , 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 ( 3-3 / 4 ) times as great as when the vessel is filled with the lighter ...
... base down- wards , 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 ( 3-3 / 4 ) times as great as when the vessel is filled with the lighter ...
Page 51
... base , so that COS α = 198 sin a = 3/2 , tan a = 2√2 ; while the reaction across the plane EN , parallel to DF , will be inclined to the horizon at the angle ẞ , the slope of the edge of the regular tetahedron , so that 1 ß = cos B ...
... base , so that COS α = 198 sin a = 3/2 , tan a = 2√2 ; while the reaction across the plane EN , parallel to DF , will be inclined to the horizon at the angle ẞ , the slope of the edge of the regular tetahedron , so that 1 ß = cos B ...
Page 52
... base whose side is of length nd , then the height will be 2nd , and the volume / 2n3d3 ; while the volume occupied by the no spheres will be n3d ; and therefore W P = π 3/2 So also if the horizontal layers are in triangular order , the ...
... base whose side is of length nd , then the height will be 2nd , and the volume / 2n3d3 ; while the volume occupied by the no spheres will be n3d ; and therefore W P = π 3/2 So also if the horizontal layers are in triangular order , the ...
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Common terms and phrases
angle angular velocity atmospheric pressure axis B₁ B₂ balloon barometer barometric height Bernoulli's Theorem Boyle's Law cargo 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 kg/cm² 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 valve velocity vertex vessel volume water line area weight
Popular passages
Page 53 - 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 93 - Archimedes stated that a body immersed in a fluid is buoyed up by a force equal to the weight of the displaced fluid.
Page 107 - 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 inches.
Page 133 - 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 7 - 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 204 - ... 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 103 - 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 280 - Defence of the Doctrine touching the Spring and Weight of the Air . . . against the Objections of F.
Page 185 - When a small movable load is placed at ff the bridge is depressed uniformly: when the load is placed at a point C the end A is unaltered in level; when at D the end B is unaltered in level : and when at P the point Q of the roadway is unaltered in level. Prove that AG.
Page 103 - 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 measure having reference to weight, and shall be called the imperial standard pound, and shall be the only unit or standard measure of weight from which all other weights and all measures having reference to weight shall be ascertained.