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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 101, page id 175906937X:0125
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=125
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000125.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine
# Lines: 58 recognised, mean confidence 0.79
# 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.

Lbi _
+bbl.
habebime
Ca
reliquas 
duabuS MI
aquationet
MEIIICMIB
Ore quam
ca propolu
veus ejulde
10, unde
D6 -- b,
5, habebi
t0, Crical
f. ∞b +
quis intersi
rocc, in
B, AaIC A
Materen
25 M
A O U A F F O N U M.
25 Propositio.
Deo decima quinea de ultima propolitione, Hat ex duabus,
∞3 -+ CX X = d t ∞ L f3 ∞ O _ X = b ∞ 0, haec xquario
Xt - F C∞3 = d d X X  f3 X = - b53 ∞ O. SupPO(IEA VerO C majore
b = bc + bdd
quam b, habebic ipla eandem Formam atque decima quinta pro-
POlicio x+ L lX3 = MM ~ x + n3 X = PY ∞ O, dc per consequenS
ejuldem erunt natura ee consticutionis. Fiat erso adaequatio,
conterendoque secundos terminos habebimus l∞c = b, hoc est.
c∞l. Fb. Deinde, ex comparatione certiorum terminorum, ha-
bebimus mm ∞dd- F bc, hoc est, substicuendo valorem cinven-
tum, hec d d ∞ mm = bb - bl. Tum collatis quarris terMINIS,
habebitur no ∞f3 f b d d, hoc est, substicuro ralore d d inVento.
exit f3 ∞ b L bbl F n =bmm. Unde discimus, cognit Z verd r2-
dice b, hanc aquatione X3- L b x v- F b b x 1 b3 ∞ O tribusrc-
it
guo e
L1
+ bb = bb1
MM L n3
== b1
Postremo, collatis ultimis terminis, habebimus p+ ∞f3b, 2c
per consequens f. ∞  unde sequitur, cognica rera radice b,
hranc aequationem ~3 ] b ~ x J b b x -   ∞0 ad tres reliquas
MMB
eneTCletCMda.
B SL N SLN
hic in genere nonnulla.
D
Ocandum, nosous pracellentibus adaequationi
bus supponere aequactores comparatas inter Ce trabuisse
que multas FacICeS, aUC VeraS, auC talIaS, aUE AMa~ IMAEIAS. EC da
dignolcendas imaginarias a reliquis, interriet Fractatus Diori-
sticus, quem subjunoere animus est.
2. Quod hdilisenter perpendantur ca, quae praecedune, pa-
tcbit,