-1^.1 ) 37 ( 



f» — ^, videamus, vtrum p et ^ ad iftos Talores , abfolutos 

 reducere liceat. Hoc autem euenit quando b — ctt infu- 

 per a — n—b, quo calu ambae folutiones inter fe congru- 

 ent , quem .ergo cafum feorfim euoluiffe operae pretium 

 erit. 



Euolutio cafus quo c — b et a — n — b, 



^. 14.. Hoc igitur cafu erit formula propofita 



J Ix ' 1 -x" 



tum vero vidimus efle 



b-n 



P — /jc'' -■ </.v ( I - x" j '^ =: ^ et 



(l^Jx^^-^-dxii-x'^)''^':^—^ . 



quam ob rem, cum fit S=/P— /Q— /!^, erit his valoribus 



n fin. — 

 fubflitutis S— / -, 'vbi euidens eft efle debere b <^n f 



b 7r 



vnde fequentia exempla confiderafle iuuabit. 



Exemplum I. quo b— r Qt n— a. 



§. 15. Hoc ergo cafu crit fin. — — i, hincque S — J~ 

 quam ob rem, fi formula propofita fuerit S — /f-^ . ^-f^^» 

 erit S ~ / - ; at vero valorem ipfius S per logarithmos 

 euoluendo, vti fupra fecimus, oha—iy b — C — i et «i:a 

 prodibit 



f /i+/3-f/5 + /7 + /9 + ^ii+etc. 

 S=: ]-2/2 — 2/4 — /2/6— 2/8 — 2/10 — etc. 

 C+/3 + /5+/7+/9 + /ii+/i2 + etc. 



quibus in ordinem reda^flis erit 



S=:/i- 2/2 + 2/3- 2/4.4- 2/5- 2 /(J+ 2/7- a/S + a/petc. 



, E 3 ^. i6. 



