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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 123, page id 175906937X:0147
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=147
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.78
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# After the first blank line: the recognised lines in reading order, one per line.

rerconte
+lL DMI
indemum
OM X +
o seoe
a yta
Men (1.
1, eriie
AOPeTI
TIEMIIX.
a 1I BIa
propol
eriique
oinden
ionis B
ee quam.
M XX Il
odic ag
MI. +1
Ciplita
GuaM
A, O W A Y L O N W H.
123
GiF pinor. Id quod non erit difficile, cogniris nempe cribus di-
mensionibus ipliusn, lumendoque loco nn rectangulum sub dua
BuS QuanticaribUS; GUIATUIM AIEOTHETA NON sIC ipSa n mINOF. FriE
que hoc ad sequentia nocatu dignum.
Prop. 3. X3 X   M W X = v3 ∞ O.
Per transpolicionem habebimus x3 ∞n3 =M MX, exitquC mM
IMajOr quaMI N. RUrSUS CTIEM M X DN3 = - ~3, _E CONSCGHENECFN3I2-
Jor quamx, enmajor quamx, ac proindennx majus quamr x3. Sed
per transpolitionem a quationis proposita est quoque x3- LMmx ∞
n. Frgommx Lnnxmajus erie quamn3, de diris d utraque parte per
nn. Lmm, erit x major quaim
nn. +mm. Inventa icaque cAtradix X
aequationis propolica esse major qua mn. L. nn. led minor quam
n22
mm ecn. Polumus etiam loco nn accipere rectangulum duarum:
maximarum dimentionum iplius n, ue radicis cubica extractio
eriTetuI.
C A P u F III.
De Equationum Cubicarum; penultimo
termino carentium.
Prop. T. X3 - lX X X -F B3 ∞O.
elcapolitionem erie x3. = n3 ∞ Ixx, ideoque x a majus
quam,. Rurlus erien3 ∞ L~ N = ∞3, e consequenter l major
duam x. Ouxlibet igitur radicum x aequationis propolicae major
exic quam Vu de minor quam l.
Prop. 2. X 3 - lN ∞ X =- B 3∞O.
Per transpolitionem eritx3lxxcons, idcoquexmajor quainl.
Rursus eric x3 =n3 D lXX, _ consequentEF~ major quamn, e
XX Ma)US QuA NN, EC BN X MajuS qua N3. AFquI habCMIIIS quO-
que per transpolitionem lXx - Ln3 D ~3. Ouarc cricl a X - L H X X
inajus quam x3. DiridatUF VErAqUE PArS Per XX, criique l- L 1
major