ipj DE Q_VADKATVRA 



Tinri, fericmqiie T continuandam effe vsque ad ter- 

 minum illiuTi inclufiue in quo cxponens indetcrminata» 

 M eft=:o. 



2. Si iint TT numerus integer iiffirmatiuus et p fra^ 

 dus, fueritque 1=: tt -\-p , ac fiant £ — ^^, P— 1^7:^, 



V = EN^-HFN«-'-+-GN^-=H-etc. -f- A N^-»-'. 

 Inuenietur 2 . ^' (/.v zz M"^ V -f- ( ^ -|- i j A ^ R . 



Quare etiam nunc fi^fit=::o, fiet/yrt^.c" M^V, 

 ct feries V cfl; protendcnda vsquc ad tcrminum in quo 

 cxponens indctcrminatae N eft zzo. 



IV. Qiiae §. §. I, II. elicuimus breuiuJ potuiflent 

 inucniri hunc in modum ; aequatio propofita j"^ i::^ tf A'" 

 -^bx^y^ per diuifionem cum .v'' reducitur ad j"' a— " 

 — «-+-^.v*-V, et fi fiant N — .1—^'^, ct M^.v^"" 



y^ inucnicntiu- a" — M'"' ^- '"■—'"'» N «■"'-+-"^^""' ,§. II.) 



n g — n 



^M^^N^ et 1/ — M *""*-+-'"" — "i«N *■'"-+-'"■ — "''rz: Al'''^ ^ 

 vt in §. II. Rcliqua crgo perficicnda rcftarcnt pro qua- 

 dratura obtincnda , vt fidlum cernitur in §. III. 



Oilendcndum crgo fupereft, quomodo formulae illac 

 generales, ad exempla particularia applicari debeant. 



V. Sit aCLiuatio Curuae quadrandae j' ^ -f-.v^ — fA"/, 

 applicandoquc hanc ad aequationcm gencrakm j"*— ^.v" 

 -\-bx^y^' , habenair a~—i , bznc^ m — fi—2 ■, ezrr 

 nz I , adeoque a~— i, P — f, ycz:— i et <J— j. 

 Hinc -vi(zia-i-v)z:i- 2, e(- PH-(^)--i; A=r-f 

 lam vero quia '^\ — —z non eft aftirmatiuus : prima 



formu- 



