[ 633 ] 
COROL. I. 
If the deriiity of the redundant fluid near the 
middle of the plate A B, is lefs than the mean den- 
fity, or the denfity which it would everywhere be 
of, if it was fpread uniformly, in the ratio of ^ to one j 
and if the diftance of the two plates is fo fmall, that 
EC’-\ is very fmall in refpea; of AC’-h and that 
is very fmall in refped of AC^~”; the quan- 
tity of redundant fluid in AB will be greater than 
3 ^ ^ T> A o\3 — f2 
but will ap- 
B ACl 
7Xkc' 
, and lefs than — x — 
proach much nearer to the latter value than the for- 
mer. for, in this cafe, P -jr is, by Lemma X, 
3— n 
Corol. IV. lefs than 
E^3“" 
AC^ 
£C 
AC 
and -greater than 
X Sj but approaches much nearer to the latter 
value than the former ; and if E is very fmall 
in refped: of A C^"", P is very fmall. 
Remark^. 
If DF was not undercharged, it is certain that 
AB would be conflderably more overcharged near 
the circumfer-ence of the circle than near the center; 
for if the fluid was fpread uniformly, a particle placed 
anywhere at a diftance from the center, as at N, 
Would be repelled with confiderably more force to- 
wards the Circumference than it would towards the 
VoL. LXI, 4. M center. 
