ALTIORrMGRADJTM INTEGR. PROMOJA. 2$ 



/^y =r C -f- 3 D ^ -l- tf E z'-\- 1 oF«*4- 1 5 G;s*H- etc. 



vnde fit 



5(^ — C -+- 3 D a -h <J E «'-+- 1 oFa'4- 1 5 Ga*-|- etc. 



Quare fi propofita hac aeqiiatione : 



cxprefljo binc fbrmata 



P= A -i- B^-i-C;s'H-D5; '-f- Es*H- etc. 



habeat fadorem quadratum (z-a)*, fumatur 



^'—C-\-^DoL-\-6 Ea'-f- 1 oFa'-t- ' 5Ga*-f- «c, 

 eritque pars integralis inde oriunda : 



Sin autem reliqui fadores formulae P fiierint cogniti ^ 

 nempe 



?=^(z-ay{z-y){z-S){z-€) etc. 

 erit ^''=:^{a-'Y)(a—S){a — €) etc. 



§. 17. Ponamus iam tres fadores inter fe efle aequi- 

 les , feu fit in fuper y — a , at ob rationes fupra expo- 

 fitas ponamus 



'y"a--+-03, erit 51^— — Aa)(a-^)(a-e)(a-<^) etc. 

 et ^=A(y-ot.)'(y-$){y~£)(y-<^) etc. 

 feu C— ^w'(a-^)(a-6)(a-^) etc. 

 fit 5(''-A(a-(J)(a-e)(a-^) etc. 

 crit 5i' = - 2i'^ w et ^ — 5(''^ 0) '. Fadisque his fubftitu- 

 tionibus tandem reperietur pars integralis cx fadore cubi- 

 co (5; — a)* oriunda haec, 



Tom. III. Nov. Comment. D *** 



