55 PROELEMATA 



Hn aihuc riliam folutionem latius patentcm 

 X zz :^ n -i- 6 m m n n — in-^ i — vi x 



cuius inuentionis latio facile inttlli^itur, pofita cnim 

 t~mx et u — ny fit 



ttxx-^-uujy—mwx*-^ nn/ et tiuxx-\-ttjj:z:xxj:y(itar,:^nn) 

 ficque ad quadratnm reduccnda cfl hncc formula 



{m m -h n n ){ m m x" -^ n n y* ) 

 quae fadlo x^^v-i-z ttj^ — v — z aJ iftnm ful-Jtio- 

 nem pcrducit : hinc autcm pracccdcntes folutioncs 

 iion obtincntur. 



Pj^oblciria 5. 



Iniienire duo quadratornm pnria xxyyetttnu, 

 vt tam hic numenis t i x x -\r u ujy quam illc 

 Ityy-^-uuxx fiat quadratus. 



S o 1 u t i o. 



Ex modo tradita folutioiie froLlcmatis pracce- 

 dcntis Iblutio huius facile adornatur , pro m ct n 

 ciusmodi numcris fuiTicndis , \t 7nm-\-nn fiat qua- 

 dratum. Sic fi fiat mz^^ et «—3 rcpcritur 



.V— 851 , t — 3 4c-f 



j' — 1551 , «=3(^5 3. 



At cx problcmate piimo multo concinniorcs 

 folutioncs impetrantur , quibus adco practer biijas 

 pracfcriptas conditioncs et hncc tcrta r.dimplctur ; 

 \t xx-\-yy fiat ctiam quadratum. At folutio fe- 

 cunda primi problematis \num pracbct cafum , quo 

 xx-^yy fit quadratum fcilicct 



x—S-^y— J 5 i / z:: i;p ,• « = »90 



Yude 



