178 SOLVTIO PROBLEMATIS 



Cafus I. p = - 2. 



14. Ob p — — 2, habemus : 

 tf = --3-l-?-47?i f^i - iiq-iqq 

 b — -i-^i2q + qq; gzz- S - ^q + l q q 

 <:= 2+^+3??i a + b + c—-2 + i^j 



Tnde fieri oporcet 



hbrz{q-\-2y(sq-\-i)'-i2.(q''i)'{'7q-i) 



quae euoluta abit in hanc formam : 



zsq*-\- 26q'-{- ^2\qq — 6^q-+ i6-zihh. 



Hic igitur efl: A — 5, B— 13, €=321, D — — 32, 



et E — 4 ideoque fequentes folutiones nafcuntur : 



I-. fi ^-5?^-i-v?±4 fit <i^'^i-iS 



2°. fi h=z-+sqq-^q^^ fit?=:=i|iL±_i5 



z: »0 



vbi tertiam et quartam , quia numeros nimis ma- 

 gnos pracbentj omitto. 



15. Prioris folutionis fignum fuperius pracbet: 



„ _ IC. S? — 5. 51 



vnde nafcuntur numeri nimis magni , fignum vero 

 inferius 



q — >Sl2i — JU. — ± ergo h - 



— 6066 

 l6 + l* 



Pofterioris vero folutionis fignum fuperius dat 



' 105 



fignum vero inferius : 



q — -=J^^ — u ergo hz='-^ 



vndc 



