iia DE OyAKTlT. TRJNSCENDENT. 



27. Si hinc aequatio formetur ab irrationalitate: 

 omni inmunis, prodibit: 



■^4.ACkkxxjy-\' 2AEkkxxyj[kk-\-xx-\-jj}. 



In qua cum ternae abfciffae fe, x,j, pari modo fint 

 immixtae, confiderari poterunt earum quadrata kky xx^ 

 jjf tanquam radices huiusmodi aequationis cubicaej 



et cum Hi pznkkH-xx-hjj 



q—kkxx-{-kkjj~\-xxjj 

 rznkkxxjj 



erit EErm:AA{4^-/>/))-H4ACr4- 2AE;>^r 

 fiue (A/)— Er)*z=:4.AA^-f-4ACr. 



28. Hac ergo inter coefficientes p, q^ et r r©*- 

 latione conftituta , fi pro kk^ xx ^t jj capiantur ter^- 

 nae radices huius aequationis cubicae:. 



Z'-pZZ-hqZ-r — Q 



crit pro comparatione arcuum curuae, quam §. 23,,. 

 fumus contemplati, 



Xl,X-H.J-X.l K. yA -r ^VA eAVA" 



29. Sint ipfae abfciffae fuis fignis affcdac '^x; 

 •^y, — j5: radices huius aequationis cubicae:. 



z^-\-szz~\-tz — uz=:o 

 erit Vr — u^ q — tt^2suet p — ss-zt 

 afque (Aji-2A/-E?^«)'i::i4^A//-f-8AAj«4+AC«w, Cue 



. Ais — Eu u 1 A ?u— Cuti . 



•'—^ 4A. ~ A5«-£UB. 



Radi- 



