6^ 



fimiliq'ie modo poftcrior feries erit 



1« 2ic-f-l) "^^ -^* 3(c-f-2} "*' ^ CIC. 



f. 15. Ilic iam commode charaflcrcs mcmoratos ad- 

 hibcre poterimus. Dcnotet igitiir (^) coclTitientem termini 

 v", qui ipfi convenit ex evolutione poteflatis binomialis 

 (i-hi;)'^, ita ut lioc modo liabeamus 



(i H- r)"' =z I 4- (.?) V 4- (^) v' 4- (J) 2;' 4- etc^ 



Ilinc igitur pro priore noftrarum fericrum fiet | = rf ; de- 



inde^^J^-:^ = (i); llLiJLlLzzA ~ (^J^) -^ etc. ficque ifta fe- 



ries iam concinnius ita refcretur: 



, = . -H f. (0 I + f . « r:J . (/) x' H- ^ . «^; . t^= (5 xV etc. 



Qiio nunc terminos litteram f» continentcs fimili modo coii- 

 tiahamus, ipfam fcricm utrinquc multipliccmus per charac- 

 tercm ( ^ ;l7' ); tum cnim orit ( ^ ,I7' ) f- — ( ^ ^"/~' ); 

 ( ^"TTT"^ e • j-p^ — ( g^ "^- 2), quac exprcffio porro multipli- 

 ca!a per ^— ^ dabit liunc charaLlcrcm: ( ^"^""M . liis nota- 

 ti;)- nanciscimur nunc hanc fcricm: 



-!- (0 CH^^f-') x' 4- ii){'-^') x^ + etc. 



§. 16. Sinuli modo cti.im alicram rtiitm hansforma- 

 re licehit i tihi auirm jjiobo notanthim, hanc tran.^formafio- 

 ncm duplici modo iiiflilui polfc, piouti fadoics dcnominato- 

 rmn i, 2, 3, 4, clr. vcl cum iittcra ^ vcl cum y\ con- 

 iunguntur. Piimo igilur cx pracccdrntc ferie fi ^ loco / 

 ct y\ loco g fcrihamus, oblincbimus hanc fcriem ; 



