-siS m FORMIS RADICFM JEQVJTIONFM 



n 



C^^S, erit yA^^-f-VB^^-}- VC^^^rzrR^-aS^et 

 yAa^Barrt^VA^-^C^^^-HV^V^^C^^^^S^-^Rl/y-^.SimiU 

 modo eft quoque yA3"».4-y B3"* -Hy C^'"-^^- 3RS 

 3^7'^, et yA3'"B3'"-f-yA3«C3'^-|-yB3'"C3'" 



» n 



— S^ - 3 R S yy'"^- 3^7'"*- Atque hoc modo haec 

 feries procedit prorfus vt ipfa praecedens. 



2 



§. 17. Si fit «—2; erlt amA"^ — £/) et (3—/) 

 '— a:»:yy; hisque duabus aequationibus coniun«flls ha- 

 bebitur .r^iVA-l-yB-i-V/C ct p =yAB-hy A C 

 -h-yBC, funt autem A, B et C tres radices huius 

 aequationis cubicae z^ zrzaz^ ~^z-i- y. Ehminata erg» 

 CX illis duabus asquationibus httera />, prodibit ('^^)* 

 — a.vyy n:(3 feu .v+ — aa.r^ — SA-yy r=:4(3-a^, cu- 

 ius aequationis itaquc radix x efl: cognita, quipps rr 

 VA-h^B-1-^C, quae aequatio illi ell confcntanea, 

 quae §. 5. eft refoluta. Simiii modo fi quando duae 



huiusmodi aequationes occurrent .v ^ _ 3 p jv -f- 3 Vy~a, 

 £t />3_3^.ry y ^-3 */y2 — ^^ erit x — ^^A-i-YB 



-l-I^C et p — V^AB-h V^AC-l-^/BC, exiftcntibus 

 A , B et C rudicibus aequationis s* — az^ — pc;-|- y , 

 ift ante. Vei eliminata littcra p prodibit aequatio in- 

 ter :f , a , [3 , y , cuius radix .v innotefcet. Eodcm pror- 

 £xs modo' occufrentibtis duubus liisce acquationibus ^i"'''— 



^px^ 



