...vertical line ; and that the whole weight of the body is to the weight of the quantity of fluid displaced, as the specific gravity of the fluid is to that of the floating body. This general theory he illustrates by various examples taken from the triangle, the...

...same. 285. Carol. 4. Hence the magnitude of the whole body, is to the magnitude of the part immersed, as the specific gravity of the fluid, is to that of the body. For, in bodies of equal weight, the densities, or specific gravities, are reciprocally as their...

...same, as weighing them in different fluids. 11. The weight, which a body loses in a fluid, is to its whole weight, as the specific gravity of the fluid is to that of the body. Because the weight, which the body loses in the fluid, is the weight of the fluid equal in bulk...

...same. 323. Corol. 4. Hence the magnitude of the whole bodyj is (o the magnitude of the psrt immersed, as the specific gravity of the fluid, is to that of the body. For, in bodies of equal weight, the densities, or specific gravities, are reciprocally as their...

...abm becoming equal, then x = am, or 1: m: ; a : x, that is, the whole length is to the part immersed, as the specific gravity of the fluid is to that of the cylinder. And , if the latter be equal to half the former, which is nearly the case of fir timber,...

...weights are the same : hence, the magnitude of the whole body, is to the magnitude of the part immersed, as the specific gravity of the fluid, is to that of the body ; for in bodies of equal weight, the densities or specific gravities, arc reciprocally as their...

...body is equal to the weight of a quantity of the fluid of the same bulk ns the part immersed. Hence, as the specific gravity of the fluid, is to that of the body, so is the whole magnitude of the body, to the magnitude of the part immersed. XIII. The specific...

...same^ 323. CoTol. 4. Hence the magnitude of the whole bodys is to the magnitude of the part immersed, as the specific gravity of the fluid, is to that of the body. F^r, in bodies of equal weight, the densities, or specific gravities, are reeipro~ cially as...

...quantity of the fluid displaced by the part immerged, is equal to the weight of the whole body. And hence, as the specific gravity of the fluid is to that of the body, so is the whole magnitude of the body to the part immerged. The specific gravities of equal solids,...

...several solids specifically heavier than the fluid in which they are immersed, we must proceed thus : As the specific gravity of the fluid is to that of the solid, so is the weight which each solid loses, to its entire weight in air, because the weight lost answers...