New Syphon for raifing Watar. ags 



• • =: the corr«fpu>ndent height of the prifm of water, which penetrates into any. one ©f 

 the fmall afpirators^. 



Jlaking — = Jv ; K + i = w ; V wj + S /» (X + c ) + « j- ^. -. A, we have 



■ _ A + ^ A' — 4 a m K {n h s- -{■ S w c) 

 and affuming the equation \p = ■ __ , we obtain the following 



A — h — mz K'—c+y 

 J (^— w z) 4^ — A 



which relates to the vertical dimenfions. With regard to the horizontal, making a. =: 

 _— , we have> 



'~ yz yz(i+«[«(4' — 1)4.4/]) 

 Qj— y s z X 

 ~y — ~ 7' «^(«(^— + -4'). 



Laftly, if we fuppofe the prifms which we have called great afpirators, to have their 

 height = the value of z here found ; the ratio between the produft of the height of the 

 great afpirator by its expenditure, and the produft of the maCs of the water raifed by the 



height to which it is raifed, namely, -y- — ^ being denoted by <}), we have the 



formula. 



<j) = -i-J« (■4.-i)+4' + -i-^. 



If from the term — - be retrenched, the furplus will be the ratio between the moving 

 n h 



caufe and the efFeft produced ; and the lefs this ratio differs from unity, the more will the 



efi^£t approach the maximum of value of which it is capable. It is requifite, in order. 



that this maximum of value fliould take place, i. that the excefs of m beyond unity, and 



the height fhould be diminiflied, as much as the poffibility of execution will allow ; and, 2. 



that 4' (hould be determined by the equation. 



•* = \ 1+ ,> ^+g>«z r 



h — mzl "" (a+ i)A i 



The 



