75 



lam addatur vtrinque 



a x2 aa;2 ■ . Qzdzd v I , g g 9 g' ~ 



"77 1} V ~^ viza — I) (za — 1)2* 



atque obtinebimus 



£ -y V iz z-~i) (z z — i)^* 



J. 39. Aequatio autem propofita per s diuifa fit 



S V / 5 



eaque fafta fubftitutione induet fequentem formam: 



quae duO;a in — ^ dabit 



a^ (x «5 _: i) _l_ l^li! — . 2; (n 71 — i) zz: o ; 



atque ex hac aequatione feriem defideratam pro v elici 

 oportebit. 



J. 40. Hic igitur iterum ante omnia primum termi- 

 num inueftigare debemus , quem in fmem ftatuamus 



v = A%^-\-B z^-2 -4- C z^-^ etc. 

 et cum fit 



|-^ = XA!s^-'-f-(X— 2)Bz^"-^ etc. ^ ^ 



lU zz: X (X - i) A z^-2 -h (X - 2) (X - 3) B z^-^ -H etc. 



faQa fubftitutione orietur fequens aequalitas: 



o =: X (X — i) A z^ H- (X — 2) (X — 3) B z^"^ -+- etc. 



— X(X — i) Az^— 2 — etc. 



' 3XA!s^-H 3(X — 2)Bz^-2^etc. 



— (nn~i)Az^-— {nn~ i^Bz^-^^ — etc. 



Vt nunc prima poteftas z^ fponte tollaturj, neceffe eft vt 



K 2 fit 



