Condensation by two parallel disks 59 



77] COR. II. Let now the body H consist of a circular plate, of the 

 same size as AB, placed so, that the canal CG shall pass through its center, 

 and be perpendicular to its plane; by the supposition, the force with which 

 H repels the fluid in the canal CG, is the same with which a quantity of 

 fluid, equal to B, spread uniformly over AB, would repel it in the contrary 

 direction : therefore, if the fluid in the plate H was spread uniformly, the 

 quantity of redundant fluid therein would be B, and if it was all collected 



2B 



in the circumference, would be - ; and therefore the real quantity will 



3- 



zB 

 be greater than B, and less than 



3- 



78] COR. III. Therefore, if we suppose 8 to be equal to i, the quantity 

 of redundant fluid in AB will exceed that in the plate H, in a greater ratio 



/ _ 



than that of J to i. and less than that of 



AC 



i 



-to i; 



j-* j-i \j -i-j din_i i^xoa 1110.11 una,L \ji /^jr 



and from the preceding remarks it appears that the real quantity of re- 

 dundant fluid in AB can hardly be much greater than it would if 8 was 

 equal to i. 



79] COR. IV. Hence, if the electric attraction and repulsion is in- 

 versely as the square of the distance, the redundant fluid in AB, supposing 

 8 to be equal to i, will exceed that in the plate H, in a greater ratio than 

 that of A C to ^CE, and less than that of AC to 2CE. 



80] COR. V. Let now the body H consist of a globe, whose diameter 

 equals AB; the globe being situated in such a manner, that the canal CG, 

 if continued, would pass through its center; and let the electric attraction 

 and repulsion be inversely as the square of the distance, the quantity of 

 redundant fluid in the globe will be zB: for the fluid will be spread uni- 

 formly over the surface of the globe, and its repulsion on the canal will 

 be the same as if it was all collected in the center of the sphere, and will 

 therefore be the same with which an equal quantity, disposed in the 

 circumference of AB, would repel it in the contrary direction, or with 

 which half that quantity, or B, would repel it, if spread uniformly over 

 the plate. [See Art. 140.] 



81] COR. VI. Therefore, if 8 was equal to i, the redundant fluid in 

 AB would exceed that in the globe, in the ratio of A C to ^CE; and there- 

 fore, it will in reality exceed that in the globe, in a rather greater ratio 

 than that of AC to ^CE; but if the plates are very near together, it will 

 approach very near thereto, and the nearer the plates are, the nearer it 

 will approach thereto. 



82] COR. VII. Whether the electric repulsion is inversely as the square 

 of the distance or not, if the body H is as much undercharged, as it was 



