50 
SIR B. C. BRODIE ON THE CALCULUS OE CHEMICAL OPERATIONS. 
mn—x +y +p" +p' !,J r • • • 
mu' 
=w> 
Cl'l s 
II 
mn i 
II 
n_ 
mn! 2 
II 
ii 
»«" =2 2 , n" =|, 
=2q> , n,=—, 
mK= 2 l", <=% 
mn'"=r , w'"=A, 
mri"=r' , <=-, 
r " 
wi<=r" , <=-, 
whence, putting 
we have 
£(/) = P ' +/' +/'+ . . . 
%) =2 +2' +2" 
2)(r) =r -\-n J +r" 
£(w') =n' +n[ +n[ + • • • •> 
%(n") =n" +w" +»; + 
2(rc''')=w'''+<+<+ 
P+2(/) 
W> 
2 ( 0 = 
2(r) 
