2 2 METHODVS JEOrATIONES DTFFERENT. 



fi vbi<iiic pro z rubftituatur — « , feu fi "ponatur z 

 ~ o. Ciim ciiim lit 



P=A(^H-«)(2r-^g)(sr-j-Y)(~-|-^) ctc. 



crit difltrcntiando : 



J-^ = A(::4-e)(2r+Y)(^+^)etc.4^^-^-(c-fe)(2+Yt-+^)etc. 

 Si iam ponatur c~— apofterius mcmbrum euancfcct , et 

 prius dabit ; 



g = A(g-a)(Y-a)(^-a) ctc. -%. 

 Cumautcm fit P n AH-Bx:-HC5:*H-D^'-i-....+AS^ 

 erit : 



^^ =B-1- 2 Cc-H 3 D^'-^4Ei:'-i-.. . .4-wAs"-' 

 ponatur ergo zzzz — a^ fcu jfiat s; -H a :n o , crit 



5(=:B— 2 Ca-f- 3 Da' — 4 Ea'-i- ctc -j-;;Aa 



finiili modo reperietur forc 



33 = B-2Cg4-3 De'-4Eg'-4-.... zt"^^ 

 ^ =:B-2 Cy-H3 Dy'-4EY'-|- .... -^wAy"-* 



ctc. 

 §. 14. Si crgo huiusmodi proponatur acquiuio : 



X =: A j -i- ^ ^ d^i? -V- -i-J -+- d;c4^ -f- etc. 

 quam intcgrari oportcat , antc omnia cx ca tormctur hacc 

 cxprcfTio Algcbniica 



P =^ A-i- Bxs-f- C.2'-H Ds'-}- Ex:*-|- crc. 

 cuius quacrantur (>mncs f:\<florcs fimpliccs , cuiusmodi Tiius 

 fit 5;H-a, atquc quilibct fidor dabit partcm intigralis i- 

 ta \t omncs partcs , qu:ic lioc modo cx fingulis (udori- 

 bus cruuntur , iundim fiuiuac cxhibcant coniplctuni ip- 



fius 



n-i 



n—i 



