DIOPHANTEVM. $$ 



C=^(/-i)(/-i+i4-i)=:(/z:i)(#W+i)(/-4/+i) 

 Ynde fi /zz 2 fequuntur hi numeri 



A z= i<Jk 3- 5> B rr 4. II. i; C=: 3. 13. 3 

 fcuA=24.o; B — 44; Czrii7. / 



52. Ad carum autem quatuor quadratorum 

 progrediamur > quandoquidem tum problema fit dif- 

 ficillimum , vt (olutio adeo fimpliciiTima iam ad 

 xnaximos numeros exfurgat. Faciamus ergo 



A X' T^ zfx— ( ff^t )y . p f/f — ,)«— .2/ 3> . 



A^X^ l> ^^ , k. _ -j^ , 



et cum fit 



BB-t-CCzi^rjcH-j^jF-iil/^^, 



pofito breuitatis ergo rjr^^^ — g prodit hacc ae- 

 quatio : 



(/>p- i)V^- 2^(ppH- O^^j^-^p/^-rT ,j. g 



+ 4P ( P/> - X ) .V^ - (PP+ 1 )'jf A' ^ 



- (pp-^yipp-^^T-^ppiPp-if 

 ^^PP-^ I )'+ 2;)(/>p- 1 )±(pp+ 1 )>'(gg(pp+ 1 H^gpipp-^Hpp-ifX 



53« Haec formola rationalis reddenda infigni 

 moleftia premi videtur , quam autem ponendo 

 />— ^-^-^ tolkre licet. Facilior vero redditur fola- 



tio , 



