«>f4i ) =06 ( ^c?<~ 



f^ - ± y (y(^ + ^s) - ,^)^ + i y(y(n.i;.>- r) et- 1 

 ^. = diaV(i-y(n-^)), 



qui bini pofteriores fiint iniaginarii, quia bhc^ — m*' nan- 

 potefl non effe pofitiuum. Ex his igitur nuuc liquet ia- 

 tcgrale aequationis completum fore : 



vbi quidem quia e^'^^~'; e-P-'' ^~' per cof. jx' j ; fin. jjuf j.' 

 facile exprimuntar, pro cr hanc adipifcimur expreffionem: 



(T~ Aef^' -f- B^-'^^ + E cof. 0-h IX.' s); 

 tiimque fiet 



z^a-r-F.Cm.iy + tVf-) (Ag^^^+Be-^^^+Ecof (e + fx^.r)).- 

 Sumtis nunc difFerentialibus prodit: > 



{p)-¥Cw.f7j + t Vii) [i^.Ae^^-iJ.B e-f"'- ijl'E fin. (^+ijJs))'y^ 



(^?) - F fin.(>i + ; yii) (fji^A<^'^^--f fx' B^-i^^-fjL'^ E cof (eH- tii'j)); 

 {'j^,)-¥rw.iyi'i-tyl^)(lj,*(^e^'+B£-^') + lx<'Rcoi:(S^-ix's))-,' 

 {if)z:y'-^ .F coC{,j-^ty'-f){Ae^'-{-B£->''+EcoC.{&'+lx.'s)); 

 (i^)-'-'-i.FCin.(7i + iV'-^){Ae"-'+Be~^'+Ecol.{Q + y.'s)); 



Manifeftum autem efl his valoribus fubftitutis fatisfieri ae-' 

 quationi: • 



^Jg^-O + ^ft^J + C-^W^o; 



fict caim 



:ibgc' ((H-^+^)(Af^-^+Bc-'-^) + (fJi'^-i!^)Ecof(i)+|i.'i);), 



_Li(Aff**H-B^-^+^^H- Ecor.(OH-fjL'j)) = o; 

 quae acquatio omnino cft idcntica oh b k c' zr. m* ct 

 ^i/^^-J^, nec non fx'-- ^J^' — i,. 



12. 



