44 Difcharge of Fluids through Pipes. [Book VII. 



is proportional to the areas of the apertures, or to the 

 fquares of their diameters. 



Secondly, it appears that the quantities of water dif- 

 charged through additional pipes of the fame diameter, 

 under different altitudes of wafer in the refervoir, are 

 proportional to the fquare root of the altitude. 



Thirdly, that in general the quantities of water dif- 

 charged in the fame fpace of time through different ad- 

 ditional pipes, under different heights of water in the 

 refervoir, are to each other nearly as the product of the 

 fquare of the diameters of the pipes by the fquare root 

 of the altitude of the refervoirs. 



The efflux of water, therefore, through additional 

 pipes, follows the fame laws as water when discharged 

 through apertures made in thin fubftances. On thefe 

 experiments the following table was formed, of the 

 quantities of water difcharged through a given aperture 

 made in a thin fubftance, fuppofing the ftream to fuffer 

 no contraction, or through the fame aperture with a 

 contraction of the ftream, or through the fame aperture 

 with an additional pipe. 



