•2GV tlll \ni:S DE FERMAT.- 1" PARTIE. 



Intel' BC et EC siiiiiaiilur diia' nu'diu- pi'oportionales VC, RC; itoiii 

 iiiter EC et CN siiniantiir ctiam duse média» proportionalcs SC, TC. 

 Constat, o\ ((iiislruclidiic, (|inini 



ralio lîC, ;i(l (]E s'il eadeiii nilioiii l'A', ad \(], 



fore quoqiie continue ])roporlionales rectas BC, \C, RC, EC, SC, T(^, 

 XC. Est aiiteni 



iil A15 L'uliii^ ad ciiliiiiii 11'-, ila Rd i|iiadraluiii ad E(; (|iiadralum, 

 sive lecla RC. ad reclaiii N(j; 



qunm autom sint, ut supra probavinius, septem continue proportio- 

 nalcs, BC, VC. RC, EC, SC, TC, NC, ergo prima, terlia. (juinta et sep- 

 tima erunt etiam continue proportionales, ideoque erit 



RC ad RC Ml RC ad SC cl iil SC ad NC : 

 Ut igitur 



prima lîC ad (|iiailam NC, ila cubus priiiiic BC ad cubiiiii seconda? RC. 



Sed 



iil BC ad NC, ila probavinuis esse ciiijum Ali ad cuIjiuu IE : 



ergo 



Ml cuiiiis A,R ad luhiiiii IE, ila cmIjus RC ad (111111111 1{C, 



ideoque 



m AR ad IE, ila BC ad RC. 



Quum igitur ratio parallelogrammi AE ad parallelogrammum IN 

 componatur 



ex ralione AR ad IE et ex ralioue RE aii EN, si\e BC ad Ei;, 

 ergo eadem parallelogrammorum ratio coniponetur 



ex ralione BC ad BC cl BC ad EC. 



Ut autem 



DC, jirima proporlionaliinn, ad EC (|iiaiiam, 



ila R(' Icrlia ad T(; se\laiii : 



