(40) 



•^ ^ -^ a-+-c a + b-i-c a-f-zb-rC 



iy.fx'"^'^^'-'dxii-.x^)^~^-^.-^ liiil_.-l±ll_.A. 



etc. etc. 



cuius progreffionis lex manifefto in oculos incurrit, 



Corollarium i, 



§. 13. Quodfi fucrit a~\- c ■=.b.) ideoque czizb — «, 

 -^i vbi quidem tenendum eft, non folum 



{i—x^J 

 exponentem fl debere efle pofitiuum, fed etiam mlnorcm quam 

 ^, quia etiam c debet efTc pontiunm. Hnec autem formula 

 commode ad quadraturam ciiculi reuocari potefl:, ad quod of^ 



X 



tendendum ponatur ^ — /? '^t pofito x~o fiat ctiam 



j zz: o, at fado x ~ i euadct j zz: 00 ; tum autem erit 

 i^zzLJ- , fumtisque poLtftatibus exponentis ^, erit 



X 



X^ y& 



r^ — j, vnde rcperitur x^ — — ^- — -, hincque fumendis 



logarithmis erit blx — bly — ^(iH-J^)) vnde differentian- 

 tlo colli^itur: 



dx ^.y )'^~^dv f^y 



~x~~~J~ 1-+-/ ~~J(i -i-r^)' 



^ , quod intcgrale 



cum ab ^ — o vsque adjrzoo extendi dcbcat, alia occafio- 

 uc oftcndi eius valorcm efie : 



b fin. "-^ 



Corol' 



