1:52 
PA PR D Ça + 6) Gp — D) (8) — à. 
Quod si igitur ponaiur 
PTEA — 9 (a + D) Ca —:b)s 
i—7 = (a — bŸ — 4, 
hinc pro p et g nanciseimur valores 
pE=E Gaz b) Ga + D) — 4, 
ga = (a —.b) Gb +. a) + 4 
Problemati igitur proposito satisñet ponendo 
LEA (@ + 0), 
y = (a — bŸ — 4. 
His enim valoribus substitutis formulae propositae fient 
xx + 24Xy + yy —{(a-—b) Ga + b) — 4 ; 
ax + 2bxy + yy = [a — D) (5b + à) — 4Ÿ. 
Coreldarium 4. 
Ÿ:. 22 Valores hic pro æ, et y, p et g traditi, Si habeant 
factorem communem, ad minores nmumeros reducuntur problemati 
aeque satisfacientes. Hoc evenit, verbi gratia, casu quo ab + 1 
est multiplum quodeunque ipsius &æ <+-d, veluti si fuerit 
ab + 4 = n (&a + b). 
Tum enim, ob y (a =—— b)— 4, erit y + 4ab — (a + b)° — 4, 
hincque y — (a + b)® — 4 (ab + 1), sive 
y = (a + D) — An (a + b) 
x id (@: +106). 
Tum vero habebimus 
p — 4ab = (a — b) (3a + b) «— 4 (ab + 1) 
sive etiam : 
p — 4ab = (a— db) (3a+-b) —1An (a +4 b) 
unde intelligitur fore 
p=(a+b)(G3a—b— 4n), 
Simili prorsus modo obtinebitur 
