85 CONSIDERATIO 



Ex fcquentibiis aiitcm perfpicinim eiiadct , hanc acqiwlita- 

 tem non (iibfirterc , nifi fit .v potcftas iplius a , cxponentcm 

 habens integrum aflirmatiuum. 



§. 4. Q.i'od autcm , pofito ^r =r a* , non (emper fit 

 j z=:n j nifi « fit numerus integer affirmatiuus , ex cafu 

 quo x-:=:o ftcile colligitur. Hoc enim calii , fi (uperior 

 indu(ftio fe ad omncs omnino numeros extenderct , ficri 

 deberet j — - co , cum — co fit pcrpctuo longarithmus 

 cyphrac. Verum pofito .v — o , fiet : 



quae Icries ctfi lummari non potcft , tamen quihbet facilc 

 perfpiciet , eius fummam efle debcre finitam , nequc proptcrca 

 logarithmum ipfius .v — o cxprimerc poflTc. Simili 

 modo , fi pofito a — 10 y atque x non potcfiati ipfius 

 10 acquale ponatur , per fummationcm valor inucnictur , 

 plcnimquc fitis notabilitcr a l x difcrcpans. Sit cnim .vizip , 

 pofito <2— 10 , eritque : 



I I (. I I 8.1« Cl , I , t. I.pl-ppl I ■ 1. I.pi.OPI- 9P9I af,. 



qui tcrmini fiinfra<flionibusdecimalibus cxprimantur,prodibit; 

 j — 0,88888888888888888888 



808080808080808080 



8008008008008008 



80008000800080 



800008000080 



8000008000 



80000008 



600000 



8000 



80 



/ — 0,8970505852x0673^*^24. 



qui 



