560 Petri Callegari 



In hac aeriiialitate si n — 1 loco n substitnitiir , liabebimus 



1 • « 1 . A . 3 



( ^-1)(»-2)(^-3)(»-4) 



■^ iTTsTi '' " -^ 



atque deiutle 



r TSmI / ON 3 («— 2)(7/— 3) («_2)(n_3)(«— 4V , ^ 



(„_2)(„_3)(«_4)(„-5)^3^_^_^ 



1 .2.3.4 



His animadveisis superior aequaiio (A') post subslltuliones, et 

 poslquam termini ordinal! fueriat juxta elementiim a, evadit 



n — 1 ti—2 «— 3 



(B') <pQ-a -+-^i .a -t-f"2.« -4- . . . -4-p„-i = , 



ubi 



n(n—'\) 



^2= ^^3 /'^H ^-2 .Ai/.H-(«— 2)A2, 



Si veto loco a scribatur x, aequatio carens radice 



jri-\-(^ji — i)/i habebiiur, uli paullulum attendenti patebit ex 

 aequatione (A') . Ob inukiplicalionem igitnr aeqiialionis (B') 

 per factoreiu linearem x — ■(^in-^{n — ^)^'-) oblinebimus 



Ex comparatione hujus cum aequatione proposita genera tim 

 ^ infertur 



(C) ^ . A r = i^r — (m-i-(n — 1 )h)<pr- 1 . 



