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Square Roots of the Altitudes, do alfo confefs, that the 
Quantities of the Fluid, prefTed out in equal Times, are 
as thofe Velocities. For thus an ingenious ProfelTor a- 
broad tells us in his Epitome Element. Ehyf. fAath. 
Part, Cap.iv.p.665'. ‘‘ ^antitates fltiidorum ex 
utroque vafe exeunt turn in eodem tempore funt inter 
fe velut eeleritatesy adeoque in fubduplieata rat tone 
“ altitudinum fluidorum fupra foramina. Now if 
this be true, that the Quantities of Water flowing out 
in equal Times, are as the Velocities, then the Forces 
cannot be as the Quantities of Matter multiplied by the 
Squares of the Velocities : For then the EflPeds, inftead 
of being proportional, would be more than in Proporti- 
on to their Caufes. Thus, the EfFed of a PreiTure of 
a Column of any Fluid, as Water, 9 Inches high, in- 
flead of being but 9 times greater than that of i Inch 
above the Orifice, will be no lefs than xy Times greater. 
For the Velocity being at this Height triple, the Quan- 
tity of Matter in a given Time will alfo be triple , 
which laft, multiplied by the Square of the Velocity, 
gives 27 for the Force communicated by a PrelFure of 
9 Inches in Altitude, while the Force communicated by 
the PrclTure of i Inch, is but as i. So that the moving 
Forces produced will be as xy to i, while the Caufes 
producing thefe Forces, are but as 9 to i, /. e. Three 
Times too little for fuch a Purpofe. 
Thus again, if the Velocities be as i and 4, ’the 
Quantities of Water iffuing out will be as i and 4 ; 
but the Effeds, or Forces produced, according to the 
new Rule, will be as i and 64 ; though the Prefiures, 
which communicate them, are but as the Altitudes, 
which are as i and 16. Whereas, to produce fuch Ef- 
feds, the Altitudes of the latter Column ought to ha\'e 
Z z X been 
