QJ/JE VWENTVR PLVS QVAM DET. 113 



Jumma produttorum ex binis ipfa , quam eadem, Jumtna 

 numerorum au&a y Jat quadratum. 



Pofitis ergo xx, yy , zz quadratis , qul quae- 

 runtnr , fequentes f )rmulas quadrata reddi oportet. 

 xxyy-\-xx-\-yy~a-, xxyy-\-zz—-& 

 xxzz-\-xx-\-zz~ d; xxzz-\-yy — a 

 yy zz-\-yy~\-zz—Q ; yyzz-\-xx=za 

 xxyy-\-xxzz-\-yyzz~u 

 xxyy-\~xxzz-\-yyzz-\-xx-\-yy-\-zzzz.U. 



His autem omnibus fatisfit , dummodo ftatuatur 

 zz — xx -\-yy -+- 1 ± * V O W -4- * #~hrj')- 



Supra autem vidimus, formam x xyy -\- x x -\-yy qua- 



dratum fieri , fi ponatur yzz x+i. Sit igitur j~A;-r-i, 



eritque 



,zz-2xx-\-2x-\-2-j~ zVix^+zx* \ $xx-\- 2x-\-i) feu 

 z z — 4 (x x -+- x -+- 1 ). 



Tautum ergo fupereft, vt xx-\-x-\-i reddatur qua- 

 dratum, quod pofita radice - x-\t praebet 



X—TT+i J et yin+x+i)r:- 2f+r 

 vnde fit ^zVfw+^H-i)-^'—^. 

 Qttsdratorum ergo trium quaefitorum radices funt: 



„ ff — 1 /. ti-4-2t . 2 f f -f- 1 f-f- a 



^: — jI+i >V- — 21-f-i ? 2 — " 2 t+i 



Vel quo fkilius pro t fra&iones capi queant, ftatuatur 



t zz: r -^j q , eruntque hae radices 



zqo-+-2qr — rr r r -+- i qr-~— T qq rr~i-iqq 



v • — *-= i • /1/ ... 2-* • n> *— '- — 3J 



"* — *qr » J *qr ? * iqr 



Tom.VI.Nou.Com. P vnde 



