...fluid exist in the same vertical, for the pressure of the liquid which should be in equilibrio with the weight of the body, is equal to the weight of the displaced liquid, and it acts at its centre of gravity in an opposite direction (No. 602). If the floating...

...immersion, the pressure downwards upon the fluid immediately below the place subsequently occupied by the body, is equal to the weight of the fluid displaced by the immersion, that weight will be the measure of the upward reaction of the fluid below the body, —...

...as the downward pressure of the body is equal to the upward pressure of the fluid, it follows that the weight of the body is equal to the weight of the fluid displaced. Hence it ig that iron vessels float in water, for as they^are made hollow, it is easy to see, that...

...axis. He supposes a floating body to assume all possible positions consistent with the condition that the weight of the body is equal to the weight of the fluid displaced, or, in other words, that the volume of the body under water shall be constant. The centre of gravity...

...the specific gravity of the compound shall be 18-45 ? 10. "When a body floats in a liquid, prove that the weight of the body is equal to the weight of the liquid displaced. A hemisphere whose weight is 5600 grains floats with its vertex downwards and with...

...objects lighter than the lower strata mount merely to the region the density of which is such that the weight of the body is equal to the weight of the volume of fluid displaced. Archimedes established for liquids a principle which we can apply with precision...

...fluid, it is a general principle of Hydrostatics that the resultant pressure of the fluid on the surface of the body is equal to the weight of the fluid displaced. This principle we shall prove for two cases in Articles 57 and 61. (1) When the body is wholly immersed...

...virtue of which a balloon ascends is esactly the same as that which causes a piece of wood or other material to float partially immersed in water, and...removed. When the fluid is inelastic and incompressible, ie, a liquid, as water, its density is the same throughout, and bodies placed in it either rise to...

...variable density, the positions of equilibrium are still found by the principle of buoyancy — viz. that the weight of the body is equal to the weight of the fluid displaced, and that the two centres of gravity are in the same vertical line. Thus, supposing the specific weight,...

...(6) To find whether the equilibrium is stable. 19. Principle of Archimedes. When a body floats freely in a fluid the weight of the body is equal to the weight of the fluid displaced. Since the weight of the body is equal to the resultant of the vertical hydrostatic pressures, or to...