'>¥.i ) 77 ( ^n*-^ 



liqindem hoc intcgrale ab .v — o vfque ad .v — i ex- 

 tcndatiir, id qiiod vnico exemplo, quo «~,-, oftendifle 

 fufficiet; tum autem erit 



quarum igitur valorum quadrata conftituent hanc feriem; 



I + 7? + ;;vr^ + jtt^^ + .-tt^t^.t^ + ,^.^.^,..,oi + etc. 

 cuius ergo (umma ex formula integrali: 



/vTTr^"?)' ^xf^"^^ ^^ x — o ad :^ — I , 

 efl: petenda. Ell vero 



/5T;'^'i.,= '->'('-*-v). 

 quare fado iam x — i eius valor euadit — x. Quocirca 

 fumma feriei inuentac erit =:^, cuius valor pcr fradio- 

 nem decimalem eft 1,273230; aique ad hunc valorem 

 continuo magis appropinquabitur, quo plures termini fe- 

 riei i -H a' -f- (3' -I- y' -h etc. adlu colligentur; qui cal- 

 culus quo facilius inftituatur, ob aa — l^ notetur efte 

 p(3 = .Ua; yy=:^^^ = ^pp; S.Szz^^yy^ 

 eenz^Sa; ^^=^^^ee:, -vi^--^^, etc. 

 quo obferuato calculus fequenti modo inftituafjii 

 1 — I, 000000 

 a a — o, 250000 

 |3|3z= o, 015625 

 YY — o, 00390^ 



55 — 0,001525 



e« :=: o, 000748 

 ^(^ — o, 000420 

 •vjv] — o, 000260 



H-— o, 000172 



Summa — 1,272657. K3 Haec 



