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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 100, page id 175906937X:0124
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=124
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000124.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.84
# 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.

100
DE NI A F I R A
vera radice b, hanc aquationem ∞3 - L b X X = b b X - [ b3 ∞
reliquis tribus inferrire.
bI
L bbl.
L13
biB
Postremo, ex collatione ultimorum terminorum, habebimus
bfi ∞p unde lequitur, f. aquari; et, cognua veraradiceb,
hanc aequationem X3 L b X X - bb x -p  ∞ 0 ad reliquaS ErES
ese referendam.
LMm
24 Propositio.
Pro decima quarta propositione Formemus ex duabus hisce
43 + CX X - d d X   f3 ∞ 0 e X = b ∞ O hanC aquationem
 Ox3 f d d X x F f3 N = f3b ∞ O. SupPOLIEIS AULEIM CMajOre
66  bdd
quam b, _ bcmajore quam dd, nec non b d d majore quam f3
habebie ipla eandem formam atque decima quarta propolicio
X + -  l∞3 =MMX ∞ = n3 X = pF ∞ O, dC per con lequens ejuIdem
erunt naturx e consticutionis. Fiat eroo adaequatio, unde ex
collatione secundorum terminorum habebiinus l ∞c =b, hOc
CAt, c∞l- L b. Deinde, comparatis certiis terminis, habebitur
dd - bc ∞ =mm, hoc est, substituro ralore c invento, eric dd x
bb. F bl =mm. Tum collatis quartis terminis habebitur f3- bdib
∞ = n3, hoc est, substicuro ralore dd invento, erit f3. ∞ b3 L bb1
bmm - n. Unde discimus, cognica vera radice b, hanc a.
quacionem X3. L b w x L bb x + b3 ∞0 cribus reliquisinterrire.
 bb. + bb1
m =bm
Denique, ex comparatione poltremorum terminorum, habe.
bimus p ∞(3 b. unde sequitur, cognita rera radiceb, hanc X qua
sionem N L bXx LbbK L  ∞0 ad tres reliquas esse referenda,
+ bb
X5 PYO-