Fi':it minc u rz c, :ic manifelUim c(l applicat:im iii piinclo B 

 forc BD— i, cum cfTet ACzzi etAB = i. Hinc fimiil 

 patcr, liimto w minimo, fcilicct B Z» = co, forc applicatam in hoc 

 puucto 





b (1 z=. — zz: 5 -}-/=. cj , 



ficqnc clcmcntum curu:ic D c/ ad axcm inclinatur fub angulo 

 cuius tangcns ell ii , qui clt propcmodum 4.°. 4.6'. 



§. 4. Sumamus nunc abfcifllim A E ~ ^i eiquc refpou- 

 dcbit applicata EF~2 — ^i- — o, 557 propemodum , atque 



hinc i;un proxim.e area A B C D colligcre h'cet. Namquc fi CF 

 c 'ct hnta rccfta, forct area ACFEzo, 389; qnia autcm vcr- 

 fuj. axcm incuruatur, haec arca erit ah'quanto minor. Pro al- 

 tcra parte, quia FD minus incuruatur crit area BDFE ah- 

 quantilhim minor quam 5BE(BD-(-EF)r:o, 264. propcmodum, 

 vnde tota area ACDB certc minor crit quam 0,653, id quod 

 iam fitis conuenit cum vcritate, quandoquidem hacc arca c(fe 

 dcbet o, 577. At fi ablcinam A B zz i in plures partes diui- 

 dcre et arcas finguhs partibus refpondcntcs indagarc vcllcmus, 

 earum funmia eo propius ad valorem cognitum accelfura fo- 

 rct, quo plures partcs fuerint conltitutac. Quia autem dc ve- 

 ro v;ilorc huius formulac iam certi fumus , tahs labor fruilra 

 lufciperetur, fed hic fufficiat formam huius curuae prorfus fin- 

 gularis, quippe quae in pun<fto C fubito incipit, expcndilfe. 



Euolutio fecunda. 



§. 5. Euoluamus nunc Ix in fcriem, ct quia cfl: .v =: 

 X — ( I — .V ) erit 



J x- — {i — x) — \( 1 — x)"" — l{i — xy-~\(i\ — xy — atc. 

 ct quia eft y — — !-_ -f- -L — ?-L-_Lz:LiL, iftam feriem tantum ia 



A 3 . , nu- 



