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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 146, page id 175906937X:0170
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DE L LH L Y L B 1 S
Prop. 9. X = - LX3 -M M X X - ( M N - p+ ∞O.
Per transpositionem est ~+= LX3 ∞ p+ = M M X N - n3 _, ideo-
que situeritx+ ∞ l~3, hoc CA, X ∞I, CrIEMM N X ∞ = n3 X  p+
ex per conseguens m m X X ∞ -n3 l. L p+, _ X x ∞
e D V
In
mm
P4 = In3
mn3ee
.Ouod serso laequalis est V P+ = In3
mm hoc ett
Si fuerie LImm ∞p + = ln3; radix aequationis propolita aequalis
erie unicuique terminorum aequalium lec V er =In. id eoque l
in m
in hoc casu in aequatione propolica loco pa substituatur ejus
valor, nempe lIm m-L ln3, apparebie iplam dividi posse per
X, aeque nullam aliam radicem reram admittere praecer.
Si vero x  fuerie majus quam lx, hoc est, x major quaim l,
erit _ p majus quam m m ~ X =Ln3 x; d contra, (i tuerie l ma-
jor quama. eric etiam mmx x  n. x majus quam pa. Tam (1X-
quatio propolita estrealis, erit xrealis, e vel xguolis. vel ma-
jor, vel minor quam n. L.Ctoisitur, quodx major quam l sIc vel
aequalis rel major quamn; quare cum _ p + tunc imajus sic quam
MM Xx. L n3 x, erit quoque p majus quammmn x L n3 X; id.
p4
eoque mmn. Fn5 majus quam x. Ouare in hoc CalU CriE X major
quamt, et minor quam mmn fn. Ouodsix, cum major est
quam l. minor tuerit quamn, eric _ pa majus quam mm X X. 
_3x, ideoque multo iajuS qua M M X X + nB X X, e conle-
quentes
P+
PX
mm. f nn ajor quaM N.
Ouare in hoc casu n erit major quam l, e minor quam
mm. Fnn. Ouddsrero_ cumminor elt quam l, vel aequalis
Euerit vel major quam n, erit mm XX -L n 3x majus quam p+,
ideoque mmXx-LBnXx ajus quaim p+, _ X x majus quam
nm. F nn de x major quam V mm. L nn. Frso in hoc casu erit X
minor