= (7) == 



Vbi probc notandnm cll omncs logurithmos c:ipi dcbcrc hy- 

 perbolicos ; f.icilc autcm intcHigitur, tcrminos huius lcrici con- 

 tiiuio prodirc minores , nequc t:imen hanc fcriem t:intopcre 

 conuergcre, vt ex e;i v:ilor qu:iefitus commode comput:iri pollit. 



Eiiolutio tcrtia. 



§. 7. Vt:imur c:idcm rcfolutione logiirithmi .v in fcri- 

 cm infinit:im, :ic pon:imus brcuitatis gratia i — jf ~ /, vt fic 



l X — — ; — itt — 3/^ — ^*^ — etc. eritque 

 I — I 



ix ;(i -Hi^H-j^f H-i^' H-! ^"'-f-etc.; 



lam fratftioncm conucrtamus more folito 



I -hit-hiti-i- c:c. 



iu fcriem recurrentem, quae fit 



i+a/H-(3//-j-y /'-{-? /■*-}-? /' + <;'-+- etc. 

 vbi coJfficientes a, p, y, ?, etc. ita erunt comparati, vt fit 



a-hs=:io, hincque a~ — a, 



V-l-sfl-h^a-f ' = 0, y— — 5'^, .,. ^.^^ 



5H-^y-f-^j3-|-^a-f-; = o, ^ ^ = — ,\%, ■"^-•: 

 ctc. • erc. 



vnde hanc feriem tanquam cognitam fpedare licet. "■ . 



§. 8. Hoc igitur valore fubflitu^o erit 

 7^ = — ^ ~ a — f3/ — y t t — S t^ — e t* -h ctc. , 

 quarc cum fit _J— — i erit •i'.,f . 



1 — X ' ^ 



J~~a.~-{lt — ytl — ^t^ — et* — crc. fiuc 

 -y^ — a— p(i— A-) — y(i— a:/ — 5(x— A-)»— etc. 



Cum 



