QVAE VIDENTVR FLVS QVAM DE7Y 101 



inuenire formulas notabiliores , quae per eius refolutio- 

 nem redduntur quadrata. | 



Solutio. 



Sumta relatione inter numeros y et z ex hac 

 aequatione 



yz—a{y-\-z)-\-b.-~:o 



haec forma generalis ¥V±\-*Ni(yz-a{y -\- z)-\-b) eua- 

 det quadratum : cuius ergo fpeeies notabiliores euol- 

 vamus. 



I. Sit M — 2, vt habeatur 



V?-\-zyz — 2a{y-\-z\-\-2b~\ Qiiadrato. 

 Cap ; atur P — y — 2, eritque 



i) yy-\-zz-2a(y-\-z)-\-2b~u 



Capiatur V~y — z-\-a, erit 



2) yy r -\- zz — $,az '■-+- 2b-\-aa~& 



3) yy-\-zz—\ay -\- 2b -\-aa~u 



II. Sit M— — 2, vt habeatur 



P P ' — iy z -\- 2 a ( y -\-'z) — zb=z Q; : ridrata, 

 Capiatur V~y-\-z^ erit 



4) yy-\-zz-\-2a(y-\-z) — 2b~^u 



Capiatur V~y-\-z — tt\ erit 



5) yy-\-zz+\-aa—2bi— o 



III. Sit M rr 2 », vt habeatur 



P P -\- 2 ny z — 2 na{y -\- z) ~f- 2 «^rrrQuadra to. 



N 3 Capia- 



