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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 84, page id 175906937X:0108
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=108
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.82
# 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.

84
W E N A X u R A
de conterendo certios rerminos, habebimus mm  d d - bc, hoc
eIF, resticuendo ralorem cinvencum, erit d d ∞ in m. F bl F bb.
unde constat, cognita veraradiceb, hanc aequarionem
X3 L LX X- F mm X L bmm ∞0 ad eres reliquas adhiberi.
Lb + bt + bbb
L bb + b3
Denique, comparando ultimos terminos, habebimus pr ∞
bbdd. unde sequitur, d d aequari ; e, cognitâ rera radice b,
hanc aequationem x5. L. b XX Lmm X - = ∞0 ad celiquaseres
quaerendas esse urilem.
-b
 b
 b
5 Propositio.
Pro quinta propolitione, tat ex duabus, X3 -CXX - ddx- bde ∞00
EX -- b ∞0, hxC a quatiO ∞ +  6∞3 -- d d X X X - L bb d d ∞ O. FF
L bC
Supponendo bc majus quam d d, erie ipsa eju sdem FOrmX CUIM
quinea propolicione x -- l ∞3- f m m X x F -- pF ∞ O, aC per CON-
lequens eandem habebune naturam e consticutiorem. L’iac jam
adae quatio, e comparatis secundis terminis, habebiius l∞ b L 6,
hoc est, 5∞ l - b. Deinde, ex comparatione certiorum termino-
rum, habebinus mm ∞ bc= dd, hoc est, resticuendo ralorem
inventum c, erit d d ∞ bl - bb =mm. unde paFeE, COrNIEA Verd
radice b, hanC x quationem a3 = l x X = b lx -- b b. l ∞00 ad reli
L. b
quastres quaerendas adhiberi posse.
. hb I bmm
mm. b3
Postremo, comparando ultimos terminos, habebimus bbdd
∞P ac per consequens dd ∞ . unde, cognita vera radice l
laec aequatio x3 l w x = blx=  ∞0 pro tribus reliquis in-
L bb
Lnim
restisandis inlerrire poteric.
6 PiO