'i6 Œ[ VRKS DK FERMAT.— I" l'AIlTlE. 



BY, ('.Y, E\, iiiia ciim lY qiiater c( YQ semel. Singiilis qiiadratis AY, 

 BY. CY. KY aiUladir quadiatum lY, tient quadrata AI, BI, (^I, El iiMiua- 

 lia quailratis AY, BY, CY, EY et praHerca qiiadralo lY (|uater; igitiir 

 qiiadiata AD, RD, BD, CD, ED, addila (juadrato lY ciiiater, VQ semel, 

 et DY (|uinquies, a*([nabuntiir qiiadratis AI, BI, CI, JE et praUerca (jua- 

 drato RY cl (|iiadrato YQ semel. Sed quadratum RY sive YI, una ciini 

 quadrato QY, aNjuatui' quadrato QI; igitur quadrata AR, RD, BD, CD, 

 •<ED>-, addita (|iiadrato lY quater, YQ semel, et DY ([uinquies, aequa- 

 huiitur (iiiadratis AI, BI, CI, El et QI. 



At prohatum est quadrata illa omnia œquari spatio dato; ergo qua- 

 drata quinque AI, BI, CI, El et QI lequantur spatio dato. Quod eral 

 demonstrandum. 



Inde facillime deducitur spatium daluni jequari quadratis AN, BX, 

 CN, EN, QN et quintuplo quadrati NM, quod tanquam facile pra'ter- 

 iiiittinius. 



///il) cl ad (juodlihcl panda producelur arlificium eadem ralione. 



Si eniui denturduo punctaQetL [fig. 44) extra lineam, perfecta con- 



Fi" 



C 11 



structionc, utvides, sumetur AD sextansrectarum AR, AS, AB, AC, AE; 

 rcctarum QR et LS sextans DN sumetur. Spatium datum fiet aîquale 



