76 AlOYSII CxSINETXt 



Eutudem calculum instimeado pro aeqnalionlljus noni gra- 

 cilis, pro aequalionibus scilicet 



x'-4- A X'— B x'+ C x'— D x^+ Ex'— F x'+ G x — 11 = 

 inveniemns 



P.= 0, Pj= 0, P^= 0, Ps= 45 ri*, P,= — 1 80 r's', P,= 189/' ,\ 

 r,= — 72 /•' *, P, = 9 /•"+ 9 i' 

 Set! uli noluin est , 



P,= — 2 A, P,= 3 B, P,= — 4a Ps= 5 D, P,= — G E, P, = 7 F, 

 P, = _8G,P,= 9H. 

 ergo, posito 9D loco D, alqiie — 30 E locoE; 



A = 0, B = 0, C = 0; D = 9 D = 9 /• f *, E = — 30 E = — 30 rV, 

 ex aequalioiiibus 9D=9rs*, 30E:=:30r'A' habeinus 



9, E* 9,D' 



Hinc. 



F = 27/-'j'=27^ 



G=-9,-s=-9~ 

 T, „ E* D' 



Sunt igitur resolvibiles aequatlones noni gradus generalis for- 

 mae 



pj E' E* D' 



x»— 9 D x"— 30 E 0,'— 27 ^-x"- 9 - .r _ — — — = 



earumqne radices erunl 



^''= ^D^-^ ^E- 



