[ 593 ■] 
fphere ; provided the denfity of the matter therein is 
every where the fame at the fame diftance from the 
center. This is eafily deduced from prop. 71 . of 
the fame book, and has been demonftrated by other 
authors. 
PROP. V. 
Problem i. Let the fphere BDE be filled with 
uniform folid matter, overcharged with electric 
fluid : let tlie fluid therein be moveable, but 
unable to efcape from it : let the fluid in the 
reft of infinite fpace be moveable, and fufficient 
to faturate the matter therein j and let the 
matter in the whole of infinite fpace, or at leaft 
in the fpace B/3, whofe dimenfions will be 
given below, be uniform and folid ; and let the 
law of the eledric attraction and repulfion be 
inverfely as the fquare of the diftance : it is re- 
quired to determine in what manner the. fluid 
will be difpofed both within and without the 
globe. 
Take the fpace fuch, that the interftices be- 
tween the particles of matter therein fhall be j^ufl: 
fufficient to hold a quantity of eleCtric fluid, whofe 
particles are prefled clgfe together, fo as to touch each 
other, equal to the whole redundant fluid in the 
globe, befides the quantity requifite to faturate the 
matter in B ^ ; and take the fpace B (3 fuch, that the 
matter therein fhall be jufl: able to faturate the re- 
dundant fluid in the globe : then, in all parts of the 
fpace B the fluid will be prefled clofe together, fo 
;VoL. LXI. 4 ^ ' that 
