AEQVAT. DIFFERENT. 195 



ralis Ajj -H Bxy 4- Cxx + D/ -4- Ex 4- F=:o conftrui 

 poiHt , alia via eft indicanda. 



Si alfumantiir M~y-\-rLX-b, et N=rfj|/4-.r-i-/ , vbi 

 a, b, c et/fLint coefficientes alTumtitiae, inuenientur 

 j>—-M'\'^-af-b) : ac-i, et x^cU-^-^-bc-^p.ac-i. 

 ]^mcAMy-\-C^x~Ayy-\--Aaxy-\-Cxx^Aby-\-Cfx 



-\-Cc 

 =:-AMM-4-ArtMN-CNN.(A^/-4-A^)M-HC^r4-C/) 



N : ac-i (aut pofitis A^-f-C^rzB, ci-zz-Aaf-Abjtt ^z=. 

 C^r+C/)=:-AMM-j-BMN-CNN-}-aM-i-f3N :ac- 1 . 

 Quod fi praeterea fint -A^^ziD , vel ^zn-D : A , et C/ziE 

 feu /i=E: Cjfiet Ayy-\-'^xy^Cxx-\-'Dy-\-Fx—-AmM 

 4-BMN-CNN-f-aM-1-(3N: ac-izzo , fed acquatio 

 --AMM-f-BMN-CNN-|-a?/[-^(3Nzi:4praebet2AM 

 =:-|-BNH-a4-V[KKNN-f-(2Ba-|-4Ap)xNH-aa], 

 exiftente, vt antea,K— ^/(BB-^AC), fed vthaecvitima 

 rationalis fiat , faciamus Ka=;Ba-f-2Aj3, aut fcribendo 

 ad abbreuiandum G pro B-K, erit -Ga— _2A[3 , vel re- 

 ftituendo aeftimationes litterarum a et (3 , fiet AQaf-^- 

 AGb-=z2ACbc-\-2ACf,[\d propter Afc -D , et/z= 

 E:C) -^rt— DGz=:-2CD^+2Afi, hinc enim eli- 

 cientnr, 



Bb 2 a — 



