5^ SOWTIO PROBLEMATIS DIFFIClLLIMI 



idcoque (iipcrcft tantum , vt 4.v.v-|-vv rcddatiir qmdr.i- 

 tum , \ndc lcqiicns cxprcilio dcbct cfle qii;idratiim 



rndc fcqucntcs f()lutic)ucs p:irticul:ircs adornabuntiir. 



Solutio prlma. 



?. 7. Qiioniam igitur qu;icflio luic cft rcducfla , vt 

 pro littcris /) , ^, ;• ciusmodi \alorcs afllgncntur , qui 

 hanc cxprcflioncm 



4p* -H 4^* — ^qqrr -\- r* 

 reddant quadratum , (olurio gcncrnlis , qu.ic omncs omni- 

 no \alorcs idoncos harum littcr.uum compk(ftatur , tradi 

 ncquit. Cum igitur iblutionibus Ipccialibus acquiclccre 

 dcbcamus , ponam primo radiccm huius expncfTionis cffe 

 — 2pp-f-rr, vt tcnnini ^.p^ct;-" \trinquc (c dcllru- 

 ant , ac prodibit liacc acquatio 



^q*-^qqrr—-f^pprr 



vndc fit p/) — ^^ 1} [qq — rr ) , * ct habcbimus 



\cl pz=i"~V{qq-rr) ^d p-} V {rr-qq) 



§. 8. Priori formulac p—1r V {qq — rr) (atis fit 

 poncHiio q — cc -+- (/(/ , ct ;• -:. 2tv/, vndc fit p 



tcd 



Ex his crgo valoribus : 



p — (<c- \-dd]{cc-dd) 

 fcu <7 =r zcd{cc~\-dd) 



r zzL ^ccdd 



