nancifcimnr hanc aequationem: i — ^- . x-''"^^ / .y. Vnde patct, 

 fi pofl: difTcrcntiationem ponatiir .y~t, forc morc cxprimcndi 

 folito -L 5 . .y''"^^ / jr ~ I , id qiiod non amplius vur\ c(l ob- 



\ium: eft enim 



d . A-" + ? / -Y = (;/-+- p) x''-^^-'^ X I X -i- .Y-^ + f -' a .Y, 

 quae exprcfllo per ^ .y diuilli , pofitoquc a* ~ i, abit in i. 



Exemplum 11, quo fx— 2 et >/— i. 



Hic igitur erit 



Q^z^-jc^^-^f = («-+-/)) {n-^p— i) jf''- + ?'-% 



pofito crgo j^- — I , erit M — (« -f-/)) (n-^-p — i). Quare 

 cum fit R rz= A-" ■+• ^ / .Y, erit 



L (ji-^p) {n -4-;> - I) =z ^' -Y"-^f / .Y, 



quamobrcm pcr folitum cxprimcndi modum liabcbimus : 



.^ = 2 (« + p) — I , 



X- 



poflquam fcilicet gemina difFerentiationc abfoluta ponitur .Yri. 



Exemplum III, quo \x—-i ct v — 2. 



Hic igitur crit 



Q == 1 . jc" -^ f =: (« -f- />) .Y^' + f - S 



vnde pofito x zzz 1 fit M := ;; -^- /). Quarc cum fit 



K — ^-^.x''-^^— x'' -^ P (/ xj- , crit 



^^(«A-i>) = ^.v'^-^^(/jr)% 



d . y" -^ P (/ yY 



fiuc folito exprimcndi morc — '■ — — z= o , poflquam 



X 



fcilicct difFcrcntiationc abfoluta ponitur x~i. 



Ex- 



