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Case 2. Let the repulfion be inver/ely as fome 
power of the diftance between the fquare and the 
fimple power, and let A D be overcharged. 
There will be two fpaces A B and D C, in which 
the fluid will be prefled clofe together, and the quan- 
tity of redundant fluid in each of thofe fpaces will 
be more than half the redundant fluid in AD; fo 
that the fpace B C, taken all together, will be un- 
dercharged ; hut r cannot tell in what manner the 
fluid will be difpofed in that fpace. The demonflra- 
tions of thefe two cafes are exadly fimilar to thofe. 
of the two cafes of Prob. 2. 
Case 3. If the repulfion is inverfely as the Ample 
or fome lower power of the diftance, and AD is 
overcharged, all the fluid will be colledted in the 
fpaces AB and CD, and BC will be intirely de- 
prived of fluid. If A D contains jufl fluid enough 
to faturate it, and the repulfion is inverfely as the 
diflance, - the fluid will remain in equilibrio, in 
whatever manner it is difpofed ; provided its denflty 
is everywhere the fame, at the fame diftance from 
the planes A a and D^/: but if the repulfion is in- 
verfely as fome lefs power than the Ample one, the 
fluid will be in equilibrio, whether it is either fpread 
uniformly, or whether it is all colleded in that plane 
which is in the middle between A a and D d, or 
whether it is all collected in the fpaces AB and 
C D ; but not, I believe, if it is difpofed in any other 
manner. 
The demonftration depends upon this circum- 
ftance ; namely, that if the repulfion is inverfely as 
the- diftance, two fpaces AB and C D, repel a par- 
ticle. 
