i$6 DE RESOLVTIONE 



Ponantur termini homogenei iun&im fumti nihilo ae- 

 quales, vt determinentur coeflicientes A, B , C, D , 

 E , etc. eritque 



■n ( nn — i) A { nn~t) A_ 



■*^— * ' 2 rz. 4 ac 2 \nac 



p [gnn — i ) _B {nn — i )(gnn — r ) A_ 



( 25 nn — Q C fnn — i )( nn — i) (?;nn—i) A 



— ' 6 n *+ac — _. 4 . 6 *4*.. 3 a J c $ 



t? ( 49 nn — Q D ( m — i)( g nn— iKzsnn — t) (4p nn—-Q A_ 



^ — ^ 4~Tc — __ *. 6. . Vn- 4 -*-* 



etc. 

 Determinabitur ergo s per a? fequentJL modo : z zn 



—w-f- i - ;n-hi — sn- Hj. 



Avl . (>m— n A _ "_ , (m.*-i)( ___ ;) _. A y _ 



(nn— i)( g ?nz— Q( 2 5nn — i) A 2 * ^^ 



H £ TTT n'a*c' x -f-etc. 



Valore hoc fubftituto refultabit valor quaefitus: y-cx*' 1 



r -n-r ______ -5»i-i / 



\ (71--) A v~ 7" « (_5__J_-_ A „~T~ , (___] Cni__9_n-i) _ A _ ,, "7" , ,» 



Ij— A * 2 +— ~ nTc * +-T -'~7. xT-'HZ& c* X + etC - L 



*"■ " "^ -n-f-i »___-t __!_____ i 



tf iAv",M A r^ ' , (nn-i) ( s nn-i) _ A _ r . , _ fr l 



^AA - ^-— ■•— A +-~v --77- n*^c* X -T- etC. _ 



n— i 



fiue numeratore ac denominatore per A.v 2 diuifo : 



yz=zcx n ~ l 



f* -n — _n — z n *) 



l(n-i) , (5___(_i~i)2 , (sn-i - (m-iXgnn— Q x , ( r n-i) ( nn-i)fwn~iXgnn-iXisnn _.i)s , ( 



__ j "+ a >~ ___L~i___ ■_____*« n»a»c 9 "r 2 _^1 8 _ 8 . 16 24 — ~. a s c .j-CtC. \ 



_.,") -n — 2n — sn _" 



1 1 (""-') x , ( m-O(on n-i) ac_ - 1 ( nn-i)( 9 n B-i..2jnn-.) x ___, pfr 



_ ! T " , ' *ac"t~ «. l6 V^c 2 "» 1. 16. 2* 'n*a l c 3 T~ ei <-' J 



Haec 



