minc autcin iii ordincni tranlccndcntium tranfcunt. E.is igltur 

 lcqucnti modo ddignemus : 



(i,8) = P, (2, 7) = Q. (3,6) = R, (+,5) = S, 

 (S,4)r=:S, (6,3) — R, (7, =) = Q, (8, O = P- 



Scilicct fi \alorcs haruni littcrarum quociuc tanquam cognitos 

 Ipccftcmus, pcr cos cum circularibus iunctos rcliquas formulas 

 omncs in hoc ordinc contcntas dctcrminarc potcrimus. Cum 

 igitur numcrus omnium formularum intcgralium in lioc ordinc 

 « — TO contcntarum fit 45, cx iis autcm noucm vt cognitac 

 fpctftcntur, rcliquac 36 pcr has littcras maiufcuhis dctcrminari 

 dcbcbunt. 



^. 4. Tftas nutcm dctcrminationcs cx acquationc gc- 

 rcraH fupra dcmonllraia pcti oportct , quac hac forma conti- 

 nctur : 



(a, b) (a -\-b,c) = (a, c) (a -f- f, b) , 



\bi afTumcrc hccbit fcmpcr cffc b^c^ quoniam, fi foict c-b^ 

 nequatio forct idcntica. Primo igitur vt hinc acquationcs , 

 quac immcdiatc dcrcrminationcs pracbcant, nancifcamur, fum.i- 

 mus fl-t-/»-io, vt fit (io,<:)-J; tum vcro capiatur czzb—i^ 

 quo fa(fto pro a ordinc fcribcndo numcros i, 2, 3, ctc. fc- 

 qucntcs prodibunt dctcrminationcs : 



(1,9) (10, 8) = Ci, 8) fp, 9), fiiic I A = P (9, 9), crgo 



(9, 9) ==5^. 



(-,8) (10, 7) = (2,7) (9,8), fiuc »B = Q(9, 8), crgo 

 C9,8)=JL. 



(3, 7) (10, 6) = (3, 6) (9, 7), fiuc J C = R (9-, 7), crgo. 



9' 7)=.-,. 



