52 

 Let ^=AB, ?/=BC, a;'=BD, and Resist. : Grav. ::r:g, 



Then FG = -^x'^ + ^x" + &c. 



2i2 6x^ 



3 



kl = A-x'^ - ^x'^ + &c. 



2i» 6i^ 



Or VTG = f i¥^' + f ^V*-4->r'^ + &c. 



3 



Hence ^/m-^/ki = ("^^""^f/^ + &c. 

 Now ultim6 FG : FH : : ^ : r, 

 Therefore let FH = yFG + aFG- + &c 



And let fli = ^fg + a'fg' + &c. 



Then C/ = CF + ^ (FG+/g) + aFG^ + a'fg' + &c. 



Therefore Qm == a:'+ i^ (FG+/g) + ^ (aFG^ + a'fg^) + &c. 



3 



But^7F=(i;)*c— („i)~*i-3C-^ &c. 



3 



Therefore ^=(4^*(.'+|(FG+/g))-@-U.- + 

 &c. 



Consequently ^J^— ^^= fe)'i; j/' + &c.=^because 



3 3 



i =1l\ J. y2 , &c. Hence ultimo 



^/J'g—^/'kl : VfG— v/F/ : : i;^ : 4' : = 3 : 2. 



To 



