31 



J. 2. Conatus igit[ir eicim fiictorem Zx in soricm re- 

 solvtrr, eiijus sinj^uli termioi perduccrent dd formulas in- 

 tegicihiles, ^c^d [)lmibiis tentaminibLis institutis rcs non 

 siiccossit , donec tcindfin niiper in idoneam lesolutionem 

 ipsius /x in scncrn incidi , qiia tolutn negotitim fcliciter 

 expfdîii poteiat. Scilicet eum sit /x:=r^,/xx, hic loco- 

 IX scupsi I — (i — XX). Ilinc enim sratim piodibat: 



— Ixx =1 h -f- — -f- etc. 



sicque formula pioposita in ha^nc transformabatur : 



'^ C .— -+- —4- -H - 6-- + etc.) , 

 eu jus orancs pailes facile ad quadratuiam Giicuii redu'- 

 Ciintur. 



§. 3. Q}\o hoc fàcilîus praestari possit constituamus 

 hanc reductionem : 



px(i — a:!)'* — Ax(i — xx)"4-B/ax(i — XX)--', 

 unde dillerentiando et per dx (l — xx)"~' dividende ori- 

 txir haec aoquatio-: i — xxrzAfr — xx) — ouAx^ + B, 

 undc fieii débet A -f- B m: i et A-\-inA:z:zi. Hinc col- 

 hi^itur A m --^ et B zzz ^^ , quociica, sumLo x z=: ij. 

 habebitur ista leductio generali? : 



/ax(i ~xx)''-=:^^^_;-./ax(i-xx)''-', 

 et loco n scribendo X -f- ? eiit : 



/ax(i_rx/-' = l?;;^ipr(i-xx-) 





