249 



fieri debebît : 



pp 4- qq -t- 2m pq = Q^ 



pp -\- qq -{- 2'ipq — w, 



Utiique conditioni satisfit , sumendo : 



p — 4 {m -h '0 i 

 q — (m -^ ny — 4; 

 tum autem > tsxtracta radice , fiet : , 



r-^ = {m — n) (3 77Î -I- n) — 4 • 

 ;r4p-s = ('i — m) (3 /2 4- m) — 4 . 

 §. 18. Facillima vero solntio haec est: Cum sit : 



(^ — 0- •* . 



17 rr -h ss — 77-; . 



si utiique addatur fiactio | , erit : 



'^ + 1 = 1 C-^D^ ; 



quorum igitur pioductum dabit : 



m n H- I (m + ?t) + fl — ^ , 

 ideoque, sublatis utrinque f^ ^ fiet : 



m n -f- I (m -4- ?z) -p 1- =: i 

 quamobrem quoque sumi poterit : 



~p z= 4 et 7 zz: m -f- ?i 4- 5 j 

 unde fit : 



;r^/=: 3 m — n + 5 ; 



-!^ = 3 u — m -i- 5 . 



iM//no;"«j dt ÏAca£ T. IV. ' 3 a 



