\ 



$. 5. Videamus nunc quemadmodnm formulae in- 

 ventae ad' quadiata revocari qucant, ac /i incipianius a 

 prima //' : : c c -\- 7 b b — a a, non tam facile patet, quo- 

 modo quadratum obtineri queat y at fi fub hac fpecie re- 

 praefentetur: /7 — (b ^- c)- --(- (6 — c)- — a a ^ tum fecundurn 

 praecepta Analyfcos ftatui poteiit fzzzb-hCH- ^- (b — c-^a), 

 qiia fubftitutione fada habebimus 



(b -+- cf -+- ?i' (b -^ c) (6 - c + a) -4- tl (6 - c + af 



— (b -t- cf -f- (5 — c)" — a a ■ 



vfci fublatis membris prioribus , pofterioribus vero per fa3o- 

 lem communem b — c -i- a divifis orietur 



IP C 6 -}- c) + f-P (b — c -i- a) — b — c — a, 

 unde comr.iode definitur^ 



■pp -^qq 



(luodfi ergo litterae a ifte valor tribuatur , littera quidem 

 / ralionaliter exprimetur: erit enira 



(i > -k- C)\,qq — p p \-\-^p q <h — c) . 



p p -^' q '1 ' 



at fi iftum valorem ipfius a in binis reliquis formulis fub- 

 ftituere vellemus, in calculos nimis complicatos, ac prope- 

 modum inextricabiles, dclaberemur^ quam ob rem alio mo- 

 do folutionem tentare convenit.- 



5. 6. lunQim contemplemur binas pofteriorcs con- 

 dilioncs, quae ftuit 



ggz=.iaa-\-2cc — bb ct /1/; — 2aa-f--bb — cc, 

 quarum differentia dat gg h h ~z 3 ( c c — hb); unde 

 cum omnia in numeris integris defiderentur , fi c c — 6 6 



alios 



