3* DE RESOLFTIONE 



+6izzzzz — 13.6' 



-tfx=24/-x3y;+79=i+--X3.3V79== 1^-135^ 



ctc. 



Cum crgo fit — in8*-i3.5*, fi fuerit +y=££-i3*tf, 

 cnt — ydCiS^+^ 6$a) % — 13(18^+5^)* , 'ivude 

 cafus difficiliores refoluuntur. 



Propofita ergo refoluenda hac aequatione 13^+43.79-^, 

 cum fit ym+3.79rz: — 43. — 79. habebitur per com- 

 pofitionem : 



I. y —(14.76-:+ 13.63)*- 13 (i4.2i±3.7^)* 



ergo xzzz 294 -f- 228 ct yzzz 1064 +- 819 



II. y = ( 3. 16+13 io)*~ 13 ( 2. 16 +-3. 5)' 



ergo arzz: 32+- i5etjiz 130+: 48 

 vnde ftatim 4 folutioncs obtinentur. 



Obferuatio 8. 



34. Verum non femper ex his numeris primis , 

 quos modo inueftigare docuimus , cum quadratis omnes 

 pkne numeri , qui pro y afiumi pcifunt , reperiuntur, 

 cuius rei exemplum eft cafus azzzio , pro quo valo- 

 res ipfius y in bac forma bb—ioaa continentur ; 

 iique funt , tam negatiue, quam pofitiue , fumti : 

 *>4>*,9j*0, x5,i5, 24,25,26,31,36,39,40, 

 4Xj 49, 54, 60, 64, 65, 71, 74,79, 81, 86,89, 

 90, 96, 100, 104, 106, iii , 121, 124, 129, 134, 

 X35, i44> 150, 151, 156, i59i 160, 164, 166, 

 169, 185, x86, 191, 196, 199, 201, etc. 



intec 



