EX BATO rERAHNO GENERJLI. 19 



i ' ■'■ ~T --X 1;'^ ' l-rciDC* ma* ~1 ■y^nx* . r» l" 





— ~!ji2-^riH- ctc. Vbi conlbns addcnda ita de- 

 bct elTc comparata vt pofito x~o fiat S~o; Ex 

 hoc \cro ob onines terminos infiinte magnos conllans 

 dctcrminari non,potc(t. 



§. z6. Ad conft ntcm vero dctcrminandam alium 

 cafLim affiimi oportct, quo fumma ferici eit cognita; 

 qui ergo habcbitur, fi certus tcrminorum numeius in 

 vnam fi-immam colhgatur. Addantur ergo 10 termini 



initialcs i-^-j-f-l 15 i reperieturque eorum fum- 



ma — 2,9289682539682539^ cui aequahs elfe 

 debet fumma eorundem terminorum ex formula nem- 



pe, V_Onil. j— /10 I jg 7255 r T3C33D5 3?io5oooo i 3^ooooooBd5 



*- rT5ocoo^oooa ctc. Qiio Eidlo rcperietur propter/io — 

 2,302585092994045684 conflans illa addiia 

 — 0,5772156649015329; hacque femel detcr- 

 minata fumma quotcunque terminorum huius feriei re- 

 perietur. 



§. 27. Hac igitur ratione inueftigaui fumm.am 100, 

 1000, loooo etc. terminorum ferici i '-hi-f-j-i-i-l-f 

 etc. inuenique vt fequitur: 



/10 zn 2,9289682539682539 



7100 := 5,^873775176396203 



/1000 =: 7,4854708605503449 



/loooo zi: 9,7876060360443823 



yiooooo ~ 12,0901461298634280 



/loooooo ~ 14, 3927267228657236 



C 2 §. 28. 



