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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 81, page id 175906937X:0105
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=105
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.74
# 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.

tod
De.
eral
D0 reliquis
 uleimiste
S; e, C
1IX - 
Lc
+b
nabebic
nacura lo
OBeiu
t
dde
-
M HB X X=
s
eodeulur
p
hane aet
SGualCto
7
AR. Q U A Y E O N U H.
 Propositio.
PFO LEPEIMA PEOPOSITarum HaE ex duabUS X. -+ b~X- L SCX - d3 ∞0
_ X - b ∞0 haec aequatio x + X - f CC~ X - d3 N - - b d3 ∞ 0. EFlup-
-bb = bcC
polico bb majore quam cc, habebit ipsa eandem forimam acque
Sexrima propolitio xt X =MM X X = n3 X L pF ∞ 0, Q per conte-
quensejuldem erune naturae de consticutionis. Fiac eroo adaequa-
tio, e comparando certios terminos, habebimus -mm ∞ =- bb
= 66, hoc eHt, 66∞0 bb =mm. Deinde, collatis quartis cexmI-
nis, erie n3 ∞ d- L bc0, hoc est, restituendo ralorem cc inventum,
erit d3∞n3 = b3- L bmm. unde constat, coenita ver a radice b,
hanC aequationem x3 L bxX L bb X = n3 ∞ 0 ad religuaS ErCS
MM L b3
bmm
inveltigandas utilem esse. Postremo, comparando ultimos ter-
minos, habebimus pa 2 bd3. unde discimus, d3 Xquari ; d, co.
Onita veraradice b, hanc aequationem x3. L bX N L b3 X- ∞0
ad reliquastres quarendas adhiberi posse.
C A P I F IZ.
mb
Dtura es constitutione squationum quatuor dimen-
sionum, quarto termino carentiums.
A aequaliones reducuntur omnes ad septem sequentes For-
X+  l ∞3 - M M ~ X X - p+ ∞ O.
∞+ = l∞3 = M M X X X = p+ ∞ O.
xt - lX3 = MM X X X = p+ ∞ O.
aet =- LX3-) M M X X X = p+ ∞ O.
X+ - IX3 + mM ∞ x X + p+ ∞ O.
∞+ - LX3 = M M ∞ X X - L pF ∞ O
XFLX MM XX  t pF ∞ O.
llmulas:
E PY