v 



428 Rev. J. B, Emmet t on the [June, 



respect to each; in A BC, take any two elementary, pyramids 

 A b E B, B E F C ; and in a b c take two respectively similar 

 and similarly situated ones a de by b efc; in each of the solid 

 figures A D E B, a d e b, the number of similarly situated parti- 

 cles or points is as the cube of the homologous lines ; that is, 

 the number in A D £ B : that mad eb :: P E^ : ;; e* or as R^ : 

 ^ (R and r being the radii of the circles), but the force of each is 

 «is p e'^ : P E' ; therefore, by compounding the proportions, the 

 force of A D E B : that of o deb:: R^ r' : r^ R^ :: 1 : 1 ; and the 

 entire solids may be divided into an equal number of similar and 

 similarly situated elementary pyramids, each of the correspond- 

 ing pyramids of one attracting equally with one of the other ; 

 therefore, the entire attraction of the two spheres will be equal, 

 when the corpuscles are placed at distances which are in propor- 

 tion to their radii. Take, therefore, a globular vessel filled with 

 a hquid, and of a large diameter, as one or two feet ; find from 

 the density of this body in its solid and fluid states, what ratio 

 the distance between its particles has to their diameter (this is as 



^ -^- ) and place a particle of matter in this ratio from the 



Density/ ^ *■ 



globe ; it will be equally attracted by it, as it would be if im- 

 mersed in the liquid ; and more, if nearer ; but at this ratio of 

 distance from the corpuscles themselves, the attraction exceeds 

 the force of gravity by phenomena 2, 3, and 4 ; therefore it 

 lOught to be attracted to the globe, but no such effect takes 

 place ; therefore tliere is no such force. In addition, if there 

 were, it would not be purely corpuscular, but would be affected 

 by the mass ; let there be two spheres of equal density, whose 

 diameters are A and B, and the distance between their centres 

 D ; D being in a constant ratio to their diameters ; the force of 



attraction will be as —if- or as — i. e. as A' ; therefore, if the 



force acting between two spheres of considerable magnitude be 

 insensible, when there is a considerable distance between them, 

 much more will it be insensible when the spheres are very much 

 reduced, and the same ratio of distance remains. Form now a 

 spherical drop of a liquid of particles of a given magnitude, and 

 suppose its tendency to a plate of glass, phenomenon 2, to 

 exceed its weight. Diminish the magnitude of the particles, and 

 the tendency of each is as D', and the number in a section of a 



givjsn magnitude is as :=r^ ; therefore the whole tendency dimi- 

 nishes as D ; since then at a considerable distance this force is 

 almost insensible in large spheres, it cannot produce phenome- 

 non 2. In the same manner, unless the force vary as j— at the 



least, it cannot produce phenomenon 2, 3, and 4, if it act by the 

 entire mass. 



