330 DESCRIPTIONor a new STANDARD 
thought to deferve attention, it is becaufe the ftandard de- 
ducible from it, is not fubject to the three laft mentioned 
defects. 
THEOREM. 
If there bea cubic veflel with an aperture in the bottom, 
which aperture is in a given ratio to the bafe of the veifel ; 
and if the ratio between the weight of the water which 
this veffel contains when full, and the weight of the water 
difcharged from it, through this aperture, in a given time 
be given, the cube itfelf is given. 
DEMONSTRATION. 
No other fimilar veffel will difcharge a proportionate 
quantity througha proportionate aperture in the fame time; 
tor if fo, the weights of water difcharged by two fuch cubes 
in the fame time, would be in the fame ratio to their dif- 
charging cubes refpectively, and confequently the weights 
of the difcharged waters muft be to each other, as the weights 
of the cubes, that is in a triplicate ratio of their altitudes; 
but by the laws of Hydraulicks the weights of the water 
difcharged in the fame time from different altitudes and 
through different apertures will be to each other in a ratio 
compounded of the fimple ratio of the apertures, (which 
is equal to the ratio of the bafis, which is equal to the du- 
plicate ratio of the altitudes) and the fubduplicate ratio of . 
the altitudes; that is, the weights of the water difcharged 
muft be to each other in the triplicate ratio of the altitudes, 
which is abfurd. 
‘In making an experiment according to this theorem, it 
is to be obferved that the edges of the orifice fhould be as 
thin as poffible, and that the veflel fhould not be fuffered 
to 
