15 a METHODrS VNIVERSALIS 



^_C-D-|-E-F HX^Conft. 4-f-i-^, 



rz^hr-\-TTi^7^^ etc. .bi conftans vt ante 

 ita debet eflTe comparata, vt fiat haec fumma — A po- 

 fito x:zia. 



§. 9. Vlterius autem huius formulae terminis' con- • 

 tlnuatis prodibit pofita fumma huius feriei 



a, a-\-i) a-f-zb, a-^zh, x 



A-B-hC-D HXzrS 



O . — LOnlt. -n-Zl-T- ,.i..dx~' i. 2. z.A^. zdx^ > 1 2,z.*. s-e.zdxi — 

 J7b^ d^X . jss bS^d^X 2075&"d"X 



1. 2.3 4. 5-l5 7-8. zdx^ I I 2. 3- 4- 5. 6. 7- 8. 5.10. 2d** 12. 3 12.2^«;" 



-4- T:7^1zT~\f7I^' - etc. Si ergo quaerendus fit 

 valor huius progreflionis a"" — (a-hlfy-i-ia-i- 2.bf — 



(^-h3^)'-f-etc. l-.t% qui fit S: erit ob j| 



::zz2X^ SzrConfl:.-f-**-f-^/. Conftans vero C in- 



uenietur ponendo x=:a eritque S~ °^~''^"^''' "'"^'^ . Exempli 

 gratia erit i — 4-I-9— i(5H- 25 \-121 — 66. 



§. 10. Confideremus nunc huiusmodi feriem in in- 

 finitum producftam, fcilicet 



X, x-i-b, x-i-2b 



SrrX — Yh-Z — etc. in infinitum. 

 Erit ergo S -j- ^tj^ -f- ,-:^^ -4- 7X77^^-^ -H ctcet. 

 rrS-X-HY, feu X-Y^-^- '^l etc. vnde 



V- , fcdX , fcMdX , _fefd«X 

 X 5dX , fcJd^X 365dsx 



cum fit Y ~ X -I- ^^ H- iTid^^ + TTTJi"» -H etc. in- 



uenietur S _ — - 77777^ -t- 7:7X77c5"^ - r7T7}T7d^s 



__U^A1I: i55&^dgX 2073b"d"X _ 35»27/'^ d'iX 



1.2.3 8.2dK' l l.Z lO.ldX^ I :.2.3 I2.2£JJC" l .2.3 - 14. 2dx * 



etc. 



