a 8 METHODVS AEqJ .4TI0\ES DIFFERENT. 



§. 19. Expeditis ficloribus aeqiuilibus pcrgo ad faiflo- 

 res imnginarios. Sint crgo formulac 

 ?—^[z-ayz^^ [z-y) z-3)iz e) etc. -A-i-Bs-f-Cs^+D^* 

 -j-E~* ctc. bini Hidiorcs z — a et c— S im.iginarii , qui hoc 

 non obltante multiplicato pracbcant productum reale 



zz— 2kz col'. (^ -\-kk 

 crjt ergo a—k cof. Cp -h jt V — i . fin. Cj) 



et g = /fecof. (I) -)(:y-i. fin. Cp ! 



harumqne littcrarum potelktes quaecimqne ita fc habc- 

 bunt. \ 



o".— Ib^cof «Cl)-|-it"V-i.fin.«(I> 



g«rrJk"cof ti(P- k^V-i. fin n(p 

 lam primo erit : 



ideoque 



^^^^'"'■'■•'^(cofi.vfin <P-hy~J.Cin.kxrm.<p) 

 e^-c^^^^^^Uof.kximp-y-iSm.k.vlm.^p) 

 f-«rrr*=^«/-^(cof /:.vfin.(|) - V - x.Cm.kxfm.<p) 

 ^«x_^-k,co/.^^^of /:.vfin.Cp 4- y - z. fin. ^xfin.Cl)) 



Deindc cum fit : 



5I=:B-H2Ca-l-3Da'-h+EaM-5Fa*H-- ctc. ct 

 g3:=B-t-2Ce-i-3De*-f-+E§'-h5Fe*-h etc. 

 fupcrioribus valoribus pro a ct g (iibfhtutis habcbitur 



B-»-2C/:cof(p-h3l3/:Vof2(p-f4-H./:\-of'}Cp+etc. 

 -^" -i-i^CkCm.^p] 3D^'fin.2(J)-f4.K/fe'fin.3(J)-fetc.)v'-i 

 _ B-f-2Cico(.(t)-|-3D^\()f 2(p f-4.Efc'cnf3(J) f- ctc. 



23 



(aafin Cpl 3l^^'(iii-2Cp-f4-L':i'fiu.3(|) l-ctc.) V 



$ 20. 



