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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 124, page id 175906937X:0148
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DE L E H E Y L B U S
iajor pe hvenca itaque est radix x aequationis propolitx
major quam len, sedminor quam l -1.n. Manifectum est quo.
que ad cricandam extractionem radicis cubicae ex n3, quod locon
Tumi posheminor erium dimentionum iplius n, quandoxmajor
CA; S quando minor perhibetur quam l. L B, quod tunc locon
maxima erium dimentionum iplius n’accipi queat, e lic de reli-
quis, quibus ob nimiam FaciliTaLeI NON LMMIOTAIUE.
Prop. 3. X3 - L IX X X = 13 ∞ O.
Pertransxolitionem erit x ∞ n =lX x, ac per conlequens,
majus quam x x. FCt etIaI LX X ∞n3 = X3, _ CON(CGUENECFNMI-
jor quamx, _nx x majus quam x. Sed habetur x3 L l X X ∞ n3.
Freonxx. + lxx majus erit quam n3, hoc eAt, diris à utraque paF-
ce vern L I, eric x xmajus quam
nJ1. Inrenta esicaque radix x
n
aequationis propolica major quam Vi p Led minor quam V
_En. Demonstratur praeterea nnx. L Inx majus esse quamn, et
BN
nx. F lx majus quam nn, de consequenter x major quai  F
quandoquidem n major est quam v.
C A P U F IV.
De Aquarionibus Cubicis, in quibus omnes termini extant.
PrOp. T. X3 = lX X  M M X = n3 ∞ O.
DExtranspolicionem habebius x3 = l X X ∞ n3 =m mx. FTinc.
sI X aquetur ip(I L, erit etiam x ip(I-
q
vicistim l’aequetur ipsi
 hoc est, Immon3, erit limiliter xra-
m
dix aequationis propositxe ae qualis ip(Ilet min Praeterea (IX3 =LXX
estrealis, hoc est, x major quam l, crie quoque n3-m mx realis,
de consequenter major quam x. Ouod si autem caden quan-
M
TitaS X3 = lxx nihilo minor sIC, transponatur propolita aequatio
hac ratione LXN - X D MM X = n3. Ec quandoquidem suppon
124