HYPERGEGMETRICA. 13 



f+!+fK • • • • +«~ A -W»-+rs - 77H + Tib- etc- 

 vnde cum fu : 



1 f f 



/(«+fl)Z I + i-\-l~\-\ .... •+« — &~7n + ""^«n raoiw* 



+ « """ stm *+" j"T* 



colligimus fumto a: 



X X 



ty — — &x-\-X-\-! i x-\-\X . . . . -\-\x -r-r^ 



- /Ci * *H( 1 +£*)-/( 1 -r^) - /v 1 +£*) J ^,r ! . 



Reuera ergo augendo numerum » in infinitum 

 erit : 



ly~-Ax-\-x -\-kx -\- i x -\-lx +- etc. 

 - /( 1 +*)-/( 1 +!*)-/( 1 + ^)-/( 1 +lx)- eto 



et fmgulis logarithmis per feries euohitis : 



/y— -&x-\- lxx(i -\-U •+- 5* -+ 1* -+ etc.) 



- ^■ 3 (i4-^+"i J H-^-f-etc.) 

 + ** 4 (i 4-^-f-^-r-^-f-etc.) 



- ** 5 (i H-ls+f. +-??•+ etc.) 



etc. 



10. Praeter has autem formulas , quibus cui- 

 cjue abfciffae x conueniens applicata y affignatur , 

 methodus mea progrefliones indefinite fummandi fin- 

 gularem fuppeditat expreffionem ad eundem fcopum 

 accommodatam. 



Cum enim fit /j/-/i +/24-/3-1-/4. ... -}-/.# 

 hanc progreifionem inderfinite fummari oportet \ in- 

 troducendo autem valores numericos ; 



B 3 A~| 



