p (- _i C ^ — Ti)D3! - Çî — n)x (9 — wn)j ca:|A 



et ita porro. 



III. Q.(iodsi jam hos valores ordine loco A, B, C, etc, 

 snbstituamus, fitictio continua sequentem induet formam : 



I + - hCin — i]xx -.4. 



3(J -^i*)-(-('"'~4)'fJf 4 



5(_i+ix)+(^ nn — Q)xx :4. 



7 ( ' -H a *J -1- (tn — i6')xx:4 

 etc. 



IV. Quo hinc fractiones partiales abignmus, statuamus 

 x:zz 2 y, ut nanciscdinur hanc expressionein : 



(i -t-;j)"::i i-hzny 



i-i-i' — n)y + (n n — ')yy- 



3(i+j'J-t-('nn — 4177 



5i>-h:>}-^-{nn—9)yy 



-f^+y)+ etc. » 

 qnae forma facile transmutatnr in hanc: 

 " " y _■ — , _L_ / , ,7^ r -u (""- O» 



Addatnr utrinque ?z/, nt prodcicet 



(i-j-îjji— 1 "T-/ ~^ j('-f->) + CnTi — 4)vv 



sCi-t-'jyj + cfc. ' 



quae expressio jam ordine satis regulari procedit.. 



V. Dividamus jam utrinque per t -h y, et membrnm^ 

 sinistrum evadet : _">_^ ,- '"^''^ L''^' . Ex parte dextra aiitemi 

 singulae fractiones snpra et infra per 1 -y- y dividantnr ,, 

 prodibitque haec forma :. 



