(qnoTum quadrata primae conditioni manifefto i^atJsfaciunT; 

 eft enim 



2$ ipp- ^y-\-6^pp+ :^6 pp = 



2.5 {pp— ly -\- loo pp—^S [pp-^- i)\ 



At altera conditio poftulat, vt fit 



64. 2Spp{pp-iy-^^6,:ispp{pp-~zY-\-^6.64^p'' 

 quadratum : vel 



25C0PP (/)/)- i)=-H 3^. ^4;>* = a, 



fiue, diuidendo per quadratum 4pp, 



625 (pp- iy-\- S19PP^^ 

 •et euoluendo 



625P*— 674/»/) + 625 — rD. 



Fingamus huius quadrati radicem —ispp — ^i^ et fieri 

 debet 



625 p* — 674 />p -1-62 5— 62S p^—so ppv-\-vVt 



Tnde etuitur pp — '''^-^* 



6?4 — 50 1; 



§. 2. Hic iam fucccdit , fumendo v v — 49 ct 

 •^ r: 7 tam numeratOTcm fradionis pp quam denominato- 

 rem quadrata euadere : fit cnim 



625 — V V — 576 ~ 24"" et 



674 — 50 1; :ii 324 " jSS vnde pp — '^ 



«t deprimendo per 6* 



/»/)=z;4 et ;> = ^ 



Hinc numeri quaefiti 



^ s{pp-j)-^-^z=i^-r, sp~'-: ct 6p = ^-:, 



qui linultiplicati per 9 fequentes dnbunt numeros integros 

 Ma Mad. Imp. Sc. lom. Ul. P. L F Pro- 



