A Treatise on HydrostaticsMacmillan and Company, 1894 - 536 pages |
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... means of illus- trations of existing problems , chosen in general on as large a scale as possible , and carried out to their numerical results ; in this way it is hoped that the student will acquire a real working knowledge of the ...
... means of illus- trations of existing problems , chosen in general on as large a scale as possible , and carried out to their numerical results ; in this way it is hoped that the student will acquire a real working knowledge of the ...
Page 3
... means of the transformations of a fluid medium . Hydrostatics is a subject which , growing originally out of a number of isolated practical problems , satisfies the requirements of perfect accuracy in its application to the largest and ...
... means of the transformations of a fluid medium . Hydrostatics is a subject which , growing originally out of a number of isolated practical problems , satisfies the requirements of perfect accuracy in its application to the largest and ...
Page 31
... means of a thread ( fig . 18 ) . On submerging the cylinder vertically in liquid , it will be found that the thread may be left slack and the metal disc will be supported by the pressure of the liquid , when the depth of the bottom of ...
... means of a thread ( fig . 18 ) . On submerging the cylinder vertically in liquid , it will be found that the thread may be left slack and the metal disc will be supported by the pressure of the liquid , when the depth of the bottom of ...
Page 60
... means of which we may prove the following Theorems or Examples : - ( 1 ) The C.P. of a rectangle or parallelogram ABCD , with one side AB in the surface of the liquid , is at two - thirds of the depth of the opposite side CD . This ...
... means of which we may prove the following Theorems or Examples : - ( 1 ) The C.P. of a rectangle or parallelogram ABCD , with one side AB in the surface of the liquid , is at two - thirds of the depth of the opposite side CD . This ...
Page 63
... if the side BC is in the surface , the C.P. is raised by the addition of the atmospheric pressure dH / ( d + H ) , one - quarter the H.M. ( harmonic mean ) of d and H. 64 GENERAL DETERMINATION OF 38. To find analytically the position.
... if the side BC is in the surface , the C.P. is raised by the addition of the atmospheric pressure dH / ( d + H ) , one - quarter the H.M. ( harmonic mean ) of d and H. 64 GENERAL DETERMINATION OF 38. To find analytically the position.
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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/ft³ 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 106 - ... 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 39 - 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 280 - Defence of the Doctrine touching the Spring and Weight of the Air . . . against the Objections of F.
Page 106 - 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...