(i6i) 



ct 



ddjzzzX (X- 1) ^ ;^- ^ 9 f H- (X-+- 2) (X+ r) e ^^ 9 i' 



H- (X 4- 4) (X -I- 3) ® ^^ "^ "" 5 ^' -h etc. 



qui valores in aequatione fubftituti eam fequcnti modo immu- 

 tabunt , ftatim per d t" diuidendo : 



X(X-i)'A^^^-^--^(X^-2)(X^-i)AOV(>^^4)(>^+3)AS^^ + ^--+-etc.^ 



-)-X(X— i)«g93/^ -h(X-h2)(X-+-i)ng^t^-^-H-etc.>-0. 

 -h2g(i—n)^l-+- 2g(i—n)^t^ -+-2g(i— «)^^^^* H-etc.) 



Pofitis nunc omnibus terminis , in quibus t ad eandem pote- 

 flatem affurgit , feorfim ~ o , erit 2 g- (i — i'/) ?i — o , ideo- 

 que 51 = o ; deinde X (X — i) A 33 ^'^-" — o ,, cui fiitisfiici- 

 unt bini valores ipfius X , ficilicet o et i , ita vt y compo- 

 natur ex his binis feriebus , integrale completum confl.ituen- 

 tibus : 



j r= 25 -hdt' -\-^t^ -{-<it' H- etc. 

 -h?d' -{-€' t' -j-^' t' -hd' t' -h etc. 



in quibus coefficientes porro fic determinantur : ^ et 5S'' re- 

 ftant arbitrariae, et repraefentant vtramque conftantem per du- 

 plicem integrationem introducendam. Erit autem pro X=;o, 

 2. i A € H- 2 ^ (i — «) 33 = o , vnde d = ~g''~^'^ , et pro 

 X = I, 3. 2 A r + 2 g l^i -;0 ?5'= o, vnde €' = -zJSl^ll^ . 

 Eodem modo habetur 



4. 3 A S) -H 2. i « g (£ -f- 2 ^ (i -. «) £ — o , 

 vnde 



© =. '~g ^ g^ [T^n)^ 



I. a. 3 A X. 2. 3 A^ ■ ' 



itidemque 



Noua A&a Acad. Imp. Sc. T. VL X ©' = 



