A TATLORO PROFOSITrM. ±tt 



Problema 2. 



Refoht^re fra^ionefn -^ in fuas primlilias. 



X — i — 'Z> 



Si n eft numexus par, feries fadorum P, Q_^ , R^, 



5= ,V,habebit primum Pz^i— ;z, et vltimum 



Vm-f-.c;, vnius diraenfionis, mediosque Q_-,R-,S-,, 



etc. trinomiales et duarum dimenfionum , quarc procc- 



^ ■» 



ckndo \t in Problemate praecedeuti , fit -— — — 



Q_= S- S= ^ 



Sin vero n fit numcrus impar, inuenietur 



T — ~'* 



•„ ''23 22& 2"c 

 X — -tjz ly — --~ j:l --<%• 



. 71 ' K n_J^ L_ n n_ ~ .. | .. n n_^ . I- £t-c 



Problema 5. 



Tiiuickre Trinomium i ■^2.lz^-{- z~'^' infuosfa&o- 

 res priimtims. 



Sint hiQ_-=:i-Crt;:i-4--2,R2 — I -^/'.cr-f-S , 

 5-1:^1—2^.3-4---, etc, qui in fc inuiccm ducli pro- 

 ducunt feriem theoremate praccedente cxhibitam. Qiu- 

 ic fi iu hac feric, vt ibi, omnes poll primum tcrmi- 

 nos euanefcere faciamus, vsque iid tcrmiuum w''Z»''.c:'', 

 euanefcent panter omnes fequentcs pofl: hunc vsquc ad 

 terminum -j-.s^'^, ita vt tota feries tunc in trinomium 

 J-Hw"/^''^;''-!-;^:^'' abeat, vel pofita w''Z?''— -+- 2/, 

 in I + '2.lz'^-^Z''^. Omnes reliquae coefHcientes a^, 



Dd 2 (32 



