24 METHODrS AEQJ^ATIONES DIFFERENT. 



fiimtis litteris « , S , y , 5" , etc. neg.itiuis , erit , 

 51 — — Aoj(a — Y)(a — <^)(a — e) etc. et 

 ^— Aa)(a — Y)(a — (^'^(a — e) ctc. 



Tiim vero erit ^^zr: f'"-+^— e"( H-ojx) ct f^rr 



f-«'(i -cja:). Hinc pars integralis ex fadlonbus binis 



aequalibus z-a. et s-g onuiida erit 



Pominir : 



5(^ = A(a-Y)(a-^Ha-0 e^c. 

 crit ^ — — %^iii et 33=^5(^'»^, ^ndc fiet ifla pars r: 



^ ('(i -f-(D.v)/f-*'(i-u.v)X^.v-/^-»*Xr^.v^ = 

 ^ ('a).v/tf-""X</.v-w/f-«*XA-rf.v^ =: 



pOLX gOX 



5|-(^7^-"X</.v-/^— X-v^.v^rrgp/rt^.v/f-^X^/jr. 



quae cft pars integralis cx fadtore exprcfllonis P quadia- 

 to (3-a)*oriunda. 



§. i6. Valor autem ipfuis 51'' rcqucnti modo com- 

 modius exhibcri potcrit. Ob Szi;a , cum fit 

 Prr A(s-a)'(3- Y)(c-(J)(3-£)ctc. zzA+B2-f-Cc*4-D;:'-+- etc. 

 ponatur a(s y;(c-5/3 t) ctc.rrQ^, ita \t valor ipfius 

 Q^ pracbcat 51'' fi l<>c*> ^ ponatur a. Erit ergo P :::: 

 (s-a)*q, ct diffcrcnriando ^^ - (s-a)' j%-t-2(c:-a)qatquo 

 j^, —(Z'Oi) 5-^, -f-4r5;-a)d s-^^Q; pofito nunc z — a. 

 fict Q^ r^ ;y— , — 51' ) oricturque %' fi in 7—, ponatur 

 zzi^a. Eft vcro 





