Opuscula» 541 
Ex xquatione vero 
,sK>r=- ti?-lv/ imm-hiaa-tb j-^aa - jp^m - ^bb-l- ^a^J imm-\- ^aa-hb G 
ic:=.-\a'-jyj imm->r^aa-hh ~-}/^aa-^mm - ^bb-h\a\/ imm-r-\aa-bb D 
hos valores eodem ordine , quo fcripti funt , voco A , B > 
C , D , 
XXXVni. lam ubi quantum imm-\-\aa — hb pofici- 
vum fit , trinomium ex dudu x — A in x — B reaie erit ; 
reitifuet enim trinomium Pj eademque ratione x — G du- 
ftum in AT — -D dabit trinomium Q., qux ambo eo caiu 
funt realia . Reliquum eft, ut rarioiiem oiiendamus , divi- 
dendx propofit2e formulx in trinomia realia , quando hb non 
cil minus, quam imm-^-%aa^ Civq quando bb maius eil 3 
quam imyn-\-%aa^ In hac igitur hypothefi 
XXXIX. Vocetur quantum 1 aa — \mm. — \hh—^. Erit 
16 
itaque ^ quantum reale ^ non interell an pofitivum , vel 
negativum . Et erit quanmm pofiCivum , & reaie , quip- 
pe omne quadratum quanti realis , vei pofitivi , vel negati- 
vi pofitivum eft, & reale . Vocetur etiam ^'^/' — imm — %aa 
z=.q^ ent itaque q quantum reale , quippe radix quadrata 
quanti pofitivi bb — imm — - ^aa ; & erit quantum & rea- 
le , & pofitivum . Fiant iubrogationes quantorum & ^ 
in quatuor valoribus A, B, G, D. Vaiores iiii vertentui: 
in hos 
x— — \a'^iqs/—i~'\/2 — %(irJ—'^ ^ 
x~ — %a — iq/ — I -4- ~^ %aq\/ — i C 
r= — %a — \qyj — i —\/i-\-\aq^ — i D 
XL, Radix quadrata binomii imaginarii ^ -f- ^aq^J — x 
t2i Y p -',aaqq 4. ^ — ^ I^aaqq , 
fl m ■■ ■■■■iiii,.iiiNi - i »jgwJj-»^'M»'"flP- ^ I — — -^— — — ^ I,- ■■ «..j 
