A FERMJTIO PROTOSITL 5 1 



2 xyzz — 2 .rA.;;'^ — xyjz H- a^^x^ 

 quod quadratum reddi debet , ppnoque eius radicem — 

 xy — ^ y z^yt ex euolutione valor ipfius z commode defi- 

 niri queat , fiet autem 



2 xyzz - 2xxy z--xyyz+ xxyj —xxyy- '^ xyy z -\- %yy z z 

 Ac deleto \rtrinque termino comrauni xxyy et rcliqua 

 aequatione per y z diuila obtinebitut 



nxz — tixx - xy — =^^ xy -h -^yz 

 vnde iit z — • ^qqx — ppy 



f. 5. Inuento iam valore ipfius s, fiet 



A q^^-^^x — ^ pqxy-i- ppyy {-iqx-py)* 



2a y -^ ,qqx — ppy — ^qqx-ppy 



fpxy-i-qqxy— 2 pqxy xy{ p — q ] ^ 



Z X — iqq^-ppy — ^qqx-ppy 



iiincque porro habebitur: 



'i.Vir-XV =iill^M: xxUqx-py)* 



ZA^ .v^ • jqqx-ppy ^qqxx-ppxy 



xyy(p- q)'' xxyy{p -q)- 



yZ-Xy zqix-ppy zqqxx-ppxy 



Qiiarum quantitatum cum vtraque efle debeat quadratum ] 

 hoc efficictur , dummodo communis dcnominator : iqqxx— 

 ppxy fiat quadratum, Ponatur in hunc finem zqqxx- 

 ppxy—rrxx, ac diuifione fiwfla per .v erit (2^^— rr) 



JX-=.ppy, etf =,-^,7 



f . 6. Sufiiciet antcm ad noftram foJntioncm nofle 

 relationem inter .r et jf , quia in calculum iam introdu(flus 

 £fl communis denominator z, quare ponere iicebit ; 



xznpp ct y = 2qq — rr 

 •vi^e fiet z-xzz nhM^ilM^ii)! -^^^^^^^ 



G 2 s -^ 



