NFMERORrM. ,^3 



Frr/-fx'-f 2/+3.i''+5r"'-i-7.:t^"+i ijt"-f-i4a-"-|- etc. 

 G^x i-vV-f2A;+3x +SX +7X -hiix -f-is^ 4- etc. 



etc. 

 Si hae feries ciim illis , quas in rolutionc fuperioris Pro- 

 blcmiitis pro iisdem litteris inuenimus , mox patebit to- 

 tum difcrimen tantum in potertatibus ipfius x conllare 

 coefficientcsque folos vtrinque fimiliter procedece. Ne 

 autem hic indutflioni vllum locum concedamus , iftam coa- 

 venientiam fequenti demonfliatioue euincemus. 



§.2$. Confideremus, vt fupra diios valores ipfius i , 

 qui funt : 



j— -i-l-A5r-i-Bs'-f-Cs^-f-Ds*4-Es*-h etc. 



qui fi loco z vbique ponatur x z , abeant in t eritquc : 

 ^1= I -h Axs -hBA-'5*-f-Cji-'5;'-f-D.v*;j'"-hE.v s*-t- etc. 



'~ (i— ;c*;;(,— x'aX> — ^x+zXi— ;c5;:;) etc 



Vnde fi pofteriores ipLirum s et i valores inuicem com- 

 parentur, mox patet effe j- — 7— ^ ^eu t — [i—xz)Sy 

 quae eadem relatio cum quoque inter priores litterarum 

 s et t valores locum teuere debeat , erit : 



? =i -f-Ajrg-f-B.v'g'+Cv'&'+D.vV-f E.v'g'+ etc . — 

 {i-xz)s^i-i-Az-hBz" -\-Cz' -i-Dz* -hEz' -j- etc. 

 —xz — Axz^— Bxz*—Cxz*—Dxz'-- etc. 

 Vnde per coaequationem terminorum homog^eneonmi 

 inuenitur : 



