518 Jutii Bedettu 



( / , gP'.rt'A- 27Prt'A» 27a7i6\ ^„ „,/_, SaVi"- 



27Pa7i' 27a»^6 2 

 2P3_-9P^n''A2_j. 



_18P-.aV^2- 



2 4 



81rt'/t'P 81«s/i« 



2 4 



, %-]aVi-^P-— 54rt 'AT -+- 27a6/*6 



-t-108aVi'cT_108a'AV' 



=:(2P'-4-108aVe-c''P— 108«V2'c'-Hl08a2A«c8)«— 4P6= 



= 4 [ j P'-f-54a-/i-c'(P— a-/j--Hc')j-— P^] = 



= 4 j (P^-H54aVj^c'. 6-A-^)'!_Pej — 



= 4(4 . 27a A'-'c'6A:-P3-+-27*.4^a'/iV»6'A0 = 



= 1 G . ria'^b^c^li'k-' ( P5^-27a26'c'A2i'- ) . 



quuraque valor quaniitatis P = a*/f*-4-i'A~* — c* reponatur; ha- 

 bebitur: 



16 .27a-6'c'A2A:- |(3U''H-aVc'5— c«)3-+-27a^6'=c'A^A''{ 



cujus quanlitalis signum illnd erit quod ad factorem binomia' 

 lem pertineat . 



Quapropter in aeqiiatione (6) ac proiade in altera (3) ha- 

 bebuniur : 



1 . Duae radices reales , ac duae iraaginariae si sit 



( i^ A:- -I- aU2 — c' )3 -+- 27 a^ i« c« A« A* > 



2. Omnes quaiuor reales, si 



( 6 - A^ -(- a"- /i^ — c » )' -t- 27 «- b-^ c • h'' r- < 

 atque A < , hoc est 



quae conditio jam ia praecedeati comprehenditur quae vuli 



P — 



