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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 131, page id 175906937X:0155
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=155
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.76
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

M L, Cpt
Mjor quanu
quam.
AD iasere
e Masaoe
115d ft
(0e
11+ 8
lecundu
dem illa 2
modo que
iitab
Inde ap
DIII, e1
icuLne
ipsi-
verad
temper e
ouo hil
13 10CO
ILnOn pO
1
A _ u A Y E O N U M.
Prop. 2. X 4 X , L WWX X - n3 X - pt ∞O.
Per transpolicionem habebimus xt - n3 ∞ ∞ p+ =m m ~ X. IIN-
de constat, six aequalis suerit ipsin, Fore etians x X ∞ 
eAt, X ∞ V 
pE
mn; hoc
;e (IFueriEN D V-
 tunc radiceM
aequationis fore aequalem cuilibet horum terminorum; de si iri-
aequales tuerine, tunc eam necellario futuram inter holce duos.
n2
Idem demonstrabitur de duobus reliquis p etm; nempe situe-
rint aquales, radix ae quationis propoliex a quabitur unicuique il-
lorum duorum; lin inxquales, neceltario constituetur inter duos,
tran(potita Scilicet aequatione in hunc modum Xt = p+ ∞ n3 X -
IH M XX.
Prop. 3. X 4 X  MM X N - V3 X - p+ ∞ O.
Pereran (pOsItIOne CHIEX = =M M X ~ ∞ n3 X L pF, id eogue X ~
majus quammm, ee x major quamm, de mx3 majus quaim mmX X.
Sed est eriam x+ =n3 X ∞ mm ∞ X F p, ideoque xs major quam
n3, ec x major quamn, _ n x3 majus quam n3x. Fodem modo est
X+ = p+ ∞ MMXX - L n3 X, _ Conseguenter x+ ajuS quam p+, de X
major quam p, ee p.x3 majus quampt. Acqui per transpolitionem
eAt quoque m M X X L n3 X L p+ ∞∞ XF. QUaTC M ∞3- L n ∞3. L P X3
majus erit quam xt, _ m. Ln. L p major quam x. Consimilira-
tione demonstrabitur, quod m mXx L BnXX L PP X N ajuS. CrIE
quam xt, ee consequenter mm. Lnn- L pp majus quam x x. IN-
renimus erso, quod radix x propolitae requationis major eA
quamM, 11, _ P, at minor quam m. + n L p, e V mm L nn. L pP.
Prop. 4. X + X f MM X X - L n3 N  p+ ∞0.
Pertransposrionem est x + Lmm ~ x ~ P + -- ne x, ideoque
n3
majus quam X. Similirer est v7 L n3 X ∞ P F = MM N N AC PeF COn-
sequens