•»> 



( O ) |c|.- 13 



flcquetur , inde Hatim binae litterae t tt u fe(}Ueati 

 modo expreffae prodeunt : 



tzzxy{pp~qq)-\-i.p qyy et 

 ti-xyipp-qq)-!^pqxx 



•X quibus pro ahera formula fit 



tyzizxyjipp-qq^-^-^ipqy* ct 

 UXzzX xy ipp — qq) — i.pqx\ 



Cum igitur produdum 



{xx-^-yy^ittyy-^-uuxx^ 



«juadratum fieri debeat , omnibus dcbltc m vfum 

 vocatis fequens prodit exprefTu) ad quadratum re- 



duccnda : 



^ppqqx-^pqipp-qq^X^y+ip^-Cppqq-^q^^XXyy 



')r^pq{pp-qq)xy-\-^ppqq/'y 



vbi quidem III. Audor cafum fe quali fponte «36- 

 rentem x—y excludendum iudicauit , quia fornnfula 

 quadratum eflicienda hoc cafu foret 2(f^H-««), 

 quod nuUa plane difficultate laboraret. At li foio 

 mula illa huic quadrato : 



iipqxX'-{pp-qq^xy-^zpqyyY 



aequetur, inde fequens coUigitur folutio problema* 

 tis (^ vbi fcilicet numeri I et « ad minimos terminos 

 funt redudi ) 



x=:zipp^qq)-^ t—Zip^-hppqq-h^^y 



j=^zpq i uzr{pp-qq'y. 



b 9 Huic 



