.r»'*'^ '^. 17. Intrndiicamiis igitiir iftas noiias littcr;\s 21,.^, 

 ^, li^, ctc. in fcricm §. 12. pro/rD.v iiuicntam eritque 





- o 



f- ctc. 



h;inc autcm feriem nou fatis conuergerc iam fupra oblcruu- 

 \imus. 



^ - D '" ■ • 



-' _ - .1 



TRANSFORMATIO FRACTIONIS 



i -hki -hin-hU'-\-',i^-h etc 



IN SERIEM 



i-f-a/-hp^/-f-V/'H-o/^-j-£/'-|-^/*-f- ctc' 



^. 17. Ad' "lianc transformationem pcrdudi fumus fu- 

 pra in §. 7. "vbi euolutio Jirterarum a, ^, y, ?, etc. mox 

 ficbat nimis molcria. Nunc igitur limili modo vtaniur quo 

 ante, .pofitaque hac fcrie quam quaerimus =:.f, crit ^-j-^zzj)'» 

 ideoque / (i — ■ — " — ■• ■> ^^'S^ diffcrentiando — J-^ ~ ^ , 

 feu 'i— -h -^^ =zz o , cui hanc formam tribuamus: 



■u V i — r 



C' <y -4- IZ ( I /) — O , 



cx qiui acquationc fcrics idonca pro ^: clici dcbct. 



§. ig. Cum if;itur pofito r~o fiat /~i, hoc cafu 

 cflc dcbcbit vzzzj-^ (juam.obrcm fingiimus ifiam fcricm: 



•v = I- -Jr -\- 1) t -\- f it - 1- (/ r - 1 - f r -h CtC. , 



qui valor lequcnti modo fubdituatur 



