. Annals of Philosophy. 250 Rev. J. B. Emmett on the [April,. Sect. III. On Gaseous Bodies. Lem?7ia. In distances from the particles of bodies, such, that the in- crease of density of the sur- rounding caloric is very small compared with its entire density. If the force of attraction vary inversely as the nth power of the distance, and the elastic force of caloric be as its density, the repulsive force of the calo- rific atmosphere will be inverse- ly as the n — 1th power of the distance. Let A P Q be a particle of matter; produce the radius A S indefinitely ; describe the curve DLI, such that
. Annals of Philosophy. 250 Rev. J. B. Emmett on the [April,. Sect. III. On Gaseous Bodies. Lem?7ia. In distances from the particles of bodies, such, that the in- crease of density of the sur- rounding caloric is very small compared with its entire density. If the force of attraction vary inversely as the nth power of the distance, and the elastic force of caloric be as its density, the repulsive force of the calo- rific atmosphere will be inverse- ly as the n — 1th power of the distance. Let A P Q be a particle of matter; produce the radius A S indefinitely ; describe the curve DLI, such that its ordinates B D, K L, &c. perpendicular to B S, shall be proportional to the force of attraction at B, K, &c. Let this particle be immersed in an uniformly diffused elastic medium, whose density is B F; at remote distances A, K, the pressure on K : pressure on k :: S k : S K. Through the point F draw F H parallel to B S, and if the medium were not attracted by A P Q, its density at all points A, K, B, 8cc. would be equal to B F. Take C indefinitely near to B; the specific gravity of the elastic medium at B is as B D x B F; therefore its pressure atCisasBD x BF x BC; if this pressure be indefinitely less than the whole elastic force of the fluid, its density will be increased by this pressure, by a quantity which is indefinitely small, compared with the whole density, or the fluid may be considered as incompressible by the force acting upon it. At the point K, let the density K M be increased by the superincumbent pressure, by the quantity M O, and let M O be very small compared with K M ; through k draw k o parallel to K O, and O o parallel to K k ; the evanes- cent area K m will be less than the evanescent area K o by the indefinitely small area M o ; therefore the pressure K L x KM x K'A is less than the pressure KL x KO x K k by the quantity K L x M O x K k, which is indefinitely small when compared with either; therefore the pressure at k will be inde- finitely
Size: 1460px × 1712px
Photo credit: © Library Book Collection / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1800, bookdecade182, bookpublisherlondon, bookyear1823
