QVIBFSDAM tNTEGRABlLlBVS 187 



Ponamus exempli caufa datam aequationcm cu^du 

 •^fu^y^ dic^dy rcducendgim elTe ad hanc formam( A). . . x^ 

 dx—y^^dx-zzdy fumatur lazeo^^ zizbj. ubi fit 



fiet mzzl~ vel, fi reducenda fit eadem acquatio ad hanc 

 formam (B). . . dx-y^ x^^dx^^idy fumatur uzzex^ jzzd^y ubi 



-' -• ^-t-i 



fit fr=-/V-^-l)f-+-^-<-2^ff-Hfc-H2/-ffH-6-+-2 L «_ y^— __L i 



fiet f^~g:~ ubi obfervandum eft in aequatione Bernoull. j 



—4» ^ 



izar an;;^ I ^^-f-j^^^— ^^ cafus omnes cxponentis ^^^ , fi j 



n fit numerus affirmativus , & cafus omnes-=^ fi n fit i 



negativus reduci pofie ad formulam A, omnes vero cafus \ 



exponentis ^—^ fi n fit negativus & omnes fi~ fi » fit 

 affirmativus redigi ad formulam B. ^ 



lam poCito zn—izizp fiat 



—SW^ I -2re-o — 2n-l — 2t-2 



leges quibus progrediuntur harum ferierum termini per- \ 



fpicuae funt, crefcunt enim. omnes numeri in coefficienti- 

 I bus ordine naturali praeter ultimos denominatorum qui 



fervant progreffionem triangularium i, 3 , 6, 10, &c. i 



litterae maiores A, B , C, &c. recepto moreindicanC 

 coefficientes quae proxime anteccdunt. 



His praemiffis confidero acquationem generalem 



A a 2 <^i** 



