102 DE PROBLEMATIB. INDETERMIN ATIS 



Capiatur Fzzyz— n, erit 



6") yyzz-zn a(y~\-z) ~\- 2nb-\-nnzzz D 

 Capiatur P~ y-\-z-\-na, crit 



7) yy-\-zz~\-z {n-\- 1) yz~\~nnaa-\- znbzza 

 IV. fit M.zzyz~\-aQy-\-z) - h> \t habeatur 



VV+yyzz-aa(y-\z) z -\r {b-h)y-\-a(b-\h)( y+z)-bhz Quadrato * 

 Capiatur Vzzzm(y-\-z) ~\- », vt fit 



j^ss-fCww-^f^+sJ^+C^-^^+a/wwf^+sJ-i-^wrQuadrato. 



-WO-i-^X j-f-s) -bb 

 Fiat mnzz\ — \a{b~\-h) et 2 (mm-aa) -\- b -bzzo , (iue 

 nzz^(aa-mm-b) et hzzb~\-i(mm — aa\ erit 



8) jEr*«-t- («w -**)( J^+asJ+ns^l^+^ a*) 



(aa-mmj) ~D. 



Coroll. 1. 



16. Hinc in aequatione canonica yz — a (y~\-z) 

 -\~bzzo litterae a et b ita determinari pofTunt , vt 

 haec forma 



yyzz~\~cc(yy~\-zz) fiat quadratum. 



Capiatur enim mmzzaa~\-cc^ et fiat bb~\--bcc—aaccz\o 

 feu £:n— £<:Hh-£V(tf04-<:£). Quare pro eiusmodi 

 fumatur numerus, vt aa~\~cc fiat quadratum , tumquc 

 erit 



yz~a(y-\-z)—cc±cV(aa~\~cc)zzo ? fiue 

 (j—a) (z—a) zz:.aa~\~cc-\~ cV(aa~\-cc) 

 At vero hinc conficietur : 



V( yyzz ~\~ ccyy ~\- cc zz) zr ( y ~\~ z) V (aa -\- cc)—ac 



COROL. 



