PRIMIS PRAEMAGNIS. 87 



Th. r3. Si fit xx-t-jy—2$n-\-T6 erit 

 vel x~$p ^el' x—25p-\-4; 



Th. 14. Si fit xx-\-yy—z$n-\-i9 erit 

 vel xzz$p vel ^ 1 — 25^-f- 12 



Th. 15. Si fit xx-{-yy=. 2$n-\-2i erit 

 vel xzz$p vel jtzz: 2$p-\- 11 



Th. itf. Si fit xx-fjfjz=.T$n*^84 erit 

 vel xzz$p vel x—2$p-\-y. 



ConcluGo, 



Ex his theorematibus fequitur fi fumma duo* 

 rum quadratorum habuerit hanc formam xx-{-yy 

 = 14400« -+-11401 tum quadrati imparis xx ra- 

 dicem fore 



vel I. x~ 480 «H- (75, 195) 



vel II. x=z 1440 »±(85, 355,445,715)* 

 vel BII.^rr24oo «/ + (99, 501,651, 1149) 

 vel IV. x—j 2oomA^ c 149, 949,1301,1949) 



^2101,27.49,3.101, 3.299S 



Ex hoc mimerorum ordine fumto »=700 , explo- 

 raui hunc numerum 10091401, cuius refolutionem 

 in duo quadrata vnico modo fuccedere deprehendi 



fcilicet 



