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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 93, page id 175906937X:0117
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=117
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000117.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.78
# 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.

quam
Compatalio
abe
entur, l
IM CEL
raloremia
et, cognia
N W
i1 1
CaTum N-
aldem erum
habebimus
B, latit e
AB
(2X +
netam
Ompatat
Deinas
1I 1I5
10 X
1, e
21
A O U A F L O N U H.
aatiOne = lXx =bI x =n. ∞ ocribus reliquisinservire.
+b - mm = bbb
+ bb - bm
L b3
Postremo, compararis ultimis terminis, habebimus p+ ∞ bf3.
undesequicur, f.xequari; ec, cognicd vera radice b, hanc a-
QuatiONEM ~3 -l~M =mM X -  ∞0ad tres reliquas essere
Eerendam.
L b
4 Propositio.
Pro quarta propositione Hat ex duabus X3- CXX- ddX - f3∞0
_ X  b ∞ O haec ae quatio x = -- 6 ∞3 - d d X X = f3 X + - bf3 ∞ O.
3 + b0 + bdd
Suppolitis autem ddmajore quam bc, et b d d majore quam f.,
habebicipsa eandem formam atque quarta propolicio x + l X3
MMXN LM3 X ( pF ∞ O, dC peF CONSequenS CjUIdCM CTUNEMaLUIX
ee consticutionis. Fiat erso adaquatio, unde comparando lecun-
dos terminos habebimus c∞ I- b. Deinde, collatis tertiis Ter-
minis, hrabebimus b0 - d d ∞ =mm, hoc est, restitmendo valo-
remeinrentum, tiet dd ∞o mm f bl-- bb. Tum ex comparatio-
ne quartorum terminorum habebimus n ∞ b dd --f3, hoc est,
Subltituto valore d d inrento, erit f3 ∞ bmm-L  bb l - - b3 - 13.
CInde constat, cognita verdradiceb, hanc aequationem
X3 = lXex - MMX = bmm ∞ O cribus reliquis inserrire.
b1
 bb
L bb. b3
L 13
Denigue, Comiparatis ultimisterminis, habebimus pt ∞ bf3.
unde sequitur, faquari ; ec, cognita rerd radice b, hanc ae qua-
cionem x- lNN =mMX-  ∞ 0 ad eres reliquas esse rete-
b
Cu
Pro-