ET SOLVTIO PROBLEMATIS. 159 



vnde v.ibres ipGirum Q_ et R in poftrema aequatione 

 fubilituti praebent : 



P^ — i2«^*F* + 48««Z''P'— i6nn{n-{~ lyu'^ 

 vbi commode euenit , vt fubtrah ndo vtrinque 6/^n^b'* 

 cubub relinqiLitur , cuins radice extnida fiet : 



PP~4«Z'*iz:a(^*V' 2«;i(i — «)' 



et V — bbVi^n-^-ii^-znnii—nY) 

 Qiio valore fubrtituto , reperietur : 



-ib^ln-'^ '2-nnii-nY) 



Deinde vero ipfa refolutio fuppeditat ; 



_P4-y(PP-4.^Q) -^p-i-y^pp.^^;^!^) 



fr~ — — ^ tt ff- — 



jj ^fj jj 2n 



vnde , fubftitutis valoribus inuentis , obtinebitur ; 



y^— -V(4« + 2>^2««(i -7i)')±^Visn-2V2nn{i-n)^ 



~\- ^V{^nn ' 2nV znnii -ny '\'V' ^n'{i -n)*)) 



'-^— +1/(4^2 -f- 2l^ 2;2«(i -«)^)+V(8«-£>^2 «« (i -«)* 



— ^V[^nn-2ny^nn[i -«)'-!- l^4«1' -n,*)) 

 ex liis autem quaternis valoribus alii locum habere 

 nequeunt, nifi qui ff praebeant pofitiiium et minus 

 quam bb. 



Iniiento iam valore idoneo pro /, pro puadis quac- 

 fitis p et q ponantur abfciffae A?:zip et AQ_— ^, ac 

 ftatuatur : 



o-b^{pp-{-qq-ff)-2.bhpq V[bb-ff){bb-nff)-njfpp qq 



er itque 



