A FERMATIO VROFOSlTt S9 



in fe compkditnr ^ fed etiara fblutioues in minonbus 

 Bumeris omnes commode exhibet. Eam data opera 

 euoluam, 



Solutio generalis. 



$. 20. Aflumtis cathetis trianguli quaefiti -^ et | 

 yonatur ftatim , "Vt anguli redi ratio habeatur : 

 x—ab\ yznaa — bb^ eritque trianguli 



I. cath. zz^f^ II. eath. -"-^*A hypot. -"li^^ 

 et area huius tnanguU erit — — ^ — 

 Inuenimus autem primo ( §. 4. ) 



^ — ^'kqx—ppy 



feii 2 — r -^ J^2l£^^ 



ICU ^ .V -T— zqqx-ppy 



Vel, quia ^ tam ncgatiue quam nffirraatiue acciperelicet > 

 crit 



^ , xyip-^ q)'^ 



cxiftente x — ab ct j — aa—bb» 



§.21. Tura \ero ( §. 5. ) Iianc quantitatum x et ^ 

 indolera inuenimus , vt fit z^qxx-^ppxj :^ rrxx y mi^ 



j_ 4:^ „ „ , yVP±q)^ ^, , {aa-bb)[p± q)^ 



qe nt z — x~{- — ^7 — zn ab~\~ ^.f — — . 



Nihil aliud crgo efficiendum reftat , uifi \t hnee aequatio 

 8 ^ </ .!• X —pp xj — r r X X , feu haec : 



xj z^ f > ( 2 ^ // — r r ) confic iatur. 

 Vbi cura fit xj — ab[aa-hb)^ ciusmodi numeros pro a 

 et b inueftignri oportet , vt fiat ^(f;(«<7-(^Z') numerus hn-. 

 ius forcnae 2/-^^ , feu [iff-gg^hh. 



H 5 §. 22. 



