90 CONSIDERATIO 



fubtrAhatur h icc (erics ab vnitate , ct cum reiiduum fit 

 per I — v diuifibilc erit : 



t-\-S-t^l-x)il-Z'^ (l-f)-a-'Xl- ?X»- a*)- etC. ) 



Hic fador pofteri )r autem p^irro diuilibilis cfl pcr i — 

 f , vnde fit H-J-/-=( I -x){i -f)( I -^ -^^,(r- ,f)-ctc.) 

 Hic denuo fidor deprehenditur i — ^ , hocquc (corrim 

 exprclfo , fador apparcbit i — ^ , et ita porro , vndc uu- 

 dcm repcritur fbre : 



i-f-j-/rr(i-j:)(i-|Xi-f.Xi-^»X»-f*X'-oi) etc. 



§. 7. Hinc igitur patet , quoties .v aeqimlis capiatur 

 cuipiam potcftati ipfiiis a , ob vnum fitflorcm huius ex- 

 prcflionis cuanefcentcm forc i -{-s — t~o , feu t— i -\- s. 

 Qiiarc fi pofico .vrr a", denotante « num.crum intcgium 

 affirmatiui'm , fiierit fiimma (crici propofjtae s —ii , pofi- 

 to .r~tf ""*" , crit fumma fcriei /rzj-H i ~«-|- i. Cum 

 igitur furwto ;; — o , feu A'— i , fit fumma ferici j — o , 

 erit, pofito xizza^ fiimma fcriei jm : hincque porro fcqui- 

 tur , fi ponatur .vrza*, forc jn: 2 , et fi .v — <z*,fore 

 jrr 3 . Atquc in gcnere nunc patct , qiiod ante pcr fb- 

 lam iniiudioncm elicuimus , fi fiat x~a', dcnotante n 

 numcrum intcgrum affirmatiuum , fi)rc pcrpctuo s — n. 

 Sin autcm n non fit numcrus inicger aflirmatiuus , atque 

 s dcfignct fimimam fcrici initit) propofitac, tado xir/?' , 

 tum pofito A— /7""*"', fiimma fcrici , qiuic fit —f noti 

 crit — j -h I , fict cnim : 



Hii 



