= (iio = 



formulam (+,5), ciiius valor binc colligirur ( 4., 5 ) z= ;;1^ . 

 -Simili modo cx IV clicimus (5, 5) — ■"'''. Porro ex ae- 



3 A Q^ R 



quationc VI. concludimus fore (2, i) — ^-13.-. Deinde fcpti- 

 ma aequatio dat (2, 3) — i-^. Nona vcro aequatio etiain 

 praebet (3,2)~i^2-i. Sicquc omncs quindecim formulas in- 



cognitas determinauimus per fcx littcras cognitas A, B, C, P, 

 Q et R. 



§, 4.5. Valores igitur omnium formularum huius or- 

 dinis hic afpeclui coniuntftini cxponamus : 



(1,6) = A 

 (2,5) =B 



(3,4) = c 



(^5)=:P 



(2,+) = Q 

 (3,3) = R 



d,2)=ll(i,i)zzzY^3,5)=^, 



AQ ^ , . \ C C 



^6,3) = ;j(i,2) 



^6,4)=-|(i,3) = V" 



^'5) = f, 



(+)+) = l-^ 



(^,3) = ^^, 

 (+»5)= uTi"» 

 (5,5) 



B C P 



3 A Q R. 

 A8Q R 



\ 1 / CCJ 



§. 46. Quoniam autem acquationcs primac , fccundae 

 ac tcrtiac clalfis ctiam in hoc ordinc valent, fi in iis valorcs 

 hic iniicntos fuhrtituamus , pcrpctuo in acquationes idcnticas 

 incidcmus. Ita cum acquatio primac clanis fit (i, 2) (3, i) 

 rr:(i.i) (2,2), fa<fta fiibllitutionc rcperictur (1,2) (3, O 

 — iiJLl'; at vero (1,1) (-,2) fit := ^^, haccquc idcntitas 



C i 



c c 



ctiam dcprcbcndctur, in tribus acquationibus fccundac claffis , 

 atquc ciiam in fcx acquationibus tcrtiac clalfis , qucmadmo- 

 dum calcuhim inUitucnti mox patcbit. 



§. 4*7. Simih modo haud difhcilc crit hanc inucfliga- 

 lioncm ad ordincs fuptriorcs cxtcndcrc , ncquc tamcn lcgcin 



oblci- 



