4j4 Difcharge of Fluids. [Book VII. 



It follows from the preceding table, 



1. That the quantities of water difcharged in the 

 lame time, by different apertures, under the fame 

 height of furface in the refervoir, are to each other 

 nearly as the areas of the apertures. .Compare toge- 

 ther the refults of the fccond and third experiments, of 

 which the areas of the orifices are in the proportion of 

 one to four, and it will be found that the quantities of 

 water afforded, viz. nine thoufand two hundred and 

 eighty-one cubic inches, and thirty-feven thoufand two 

 hundred and three inches, are very nearly in the fame 

 proportion. 



2. That the quantities of water difcharged in the 

 fame time through the fame aperture, under different 

 heights of furface in the refervoirs, are to each other 

 nearly as the fquare roots of the correfponding heights 

 of the water in the refervoir above the center of the 

 aperture. Compare together the refults of the eighth 

 and tenth experiments, where the heights of the refer- 

 voirs are nine and four feet, the fquare roots of which 

 are three and two, and it will be found that the two 

 quantities of water, eight thoufand one hundred and 

 thirty-five cubic inches, and five thoufand four hun- 

 dred and thirty-fix cubic inches, which run through 

 the fame orifice of one inch diameter under the dif- 

 ferent heights of nine feet and four feet, are to each 

 other nearly in the proportion of three to two. 



3. That in general the quantities of water dif- 

 charged in the fame time through different apertures, 

 under different heights of furface in the refervoirs, are 

 to each other as the areas of the apertures are to 

 the fquare roots of the heights of water in the refer- 

 voirs. 



4. That in confequence of the fri&ion, the fmall 

 apertures Turnilh a lefs quantity of water in proportion 



than 



