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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 91, page id 175906937X:0115
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=115
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000115.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.77
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

+ L- 1DC
DO. duppo
Aetala
aC pecco
150 ad a9u
- b3
IIM TCFIMMO
Loralorem
COEMIEd Ver
D0 reliqui
imus p v
aequatione
Clcteren
 aliMe
1.
cim seque
AE O U A Y L O N U H.
∞ E -- l X3  MM X X- ] B3 X - p+ ∞O.
∞t  b ∞3 = MM X X  B3 X = pF ∞O.
∞ 4 - - lX3 = M M ~ ∞ - B3 X = p+ ∞ O.
a. 4 -  LX 3 -]  M M X X = 13 X - - p+ ∞ O,
X + )  L∞3  MMX X L B3 X - p+ ∞O0
a4  lX3 MM X X B X = p+ ∞ O.
∞ + - (- lX3 MM X X -( B X = pF ∞O.
E Propositio.
Prohatura d constitutione primae propositionis dignolcende
Fiat ex duabus hilce, ∞3 - CX X - ( d d X - - f3 ∞ O XC X -- b ∞ 0.
haec aequatio nt = Cx L d d x x - f3 x. L bf3 ∞0, qua candem
b + bc - bdd
habebieformain acque prima propositarum x+ - l X3. L M M X X-
n3x. 1 p ∞0, ac per consequens ejuldem erunt naturae de consti-
cutionis. Fiac erso adxquatio, unde comparando secundoscer-
minos habebimus 1∞c. L b, hoc est, 6∞0 l = b. Deinde conse-
rendo tertios terminos, habebimus mm ∞o dd ( bc, hoc est,
restituendo ralorem cinventum, Fiec d d ∞ m m - bI- (- bb. Tum
per collationem quartorum terminorum habebimus n’∞f3 L bad,
hoc elt, substicuendo ralorem dd inventum, fiet f3 ∞ 113 - L bb1 -
bmm - b3. Uinde constat, cum innocescit vera radix b, hanc ae-
QuatiOne X =lXX- L mm X - n3 ∞O cribus reliquisinterrire.
L b + bb. - bbl
-b1 Lbm
Lb3
Postremo, conterendo ultimos terminos, habebimus pt ∞ bβ
undelequitur, f aequariZ; et, cognita vera radice b, hanc x-
quationemx3 =IXx L mmx -  ∞0 ad tres reliquas eNCre-
Ferendam.
Fb L bb
2 Froposio.
Prolccha PopoC, Hat ex duabuS, X CXX ddx s. ∞O
 X  b∞0, haeC aequatiO X = - 6∞ 3 - a cb X X - f3X - L bf3 ∞ O.
+ b6 + bdd
N
SuP.