# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0049
# Permalink to this reading: https://leibnizlegible.com/page/175905688X:0049?run=74
# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 27, page id 175905688X:0049
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=49
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000049.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.83
# 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.

C I1
1
a Det
die
a1
L IB E R S E CU N D u 5.
DA B, aUE E AR, aut etiam R A C, mutando ligna
L X- prout ad effectum hunc sequireretur. Ouod
Evero in quatuor hilce politionibus valor ipsius y nul-
lus reperiretur, indicio esset, quaectionem calu proposi-
eo esse impossibilem. Sed supponamus illam huc possi-
bilem esse, e ad abbreriandum ejus terminos, loco
quancitatum CF52 - d e k Z. Z
e
=c8Z7 ScribaUS =M, e lOCO
dez 2 + cf52 = b c52
e23 = c8Z2
27
scribamus =: sicque habebimus
Yy ∞ 2M y = = X y + b0f5lX = bcf8X X
nis radix est
e23 = 0522 Cujus xguatio-
DDM -  + V m M - 2m uX n nXX bCFS IX - bCs8 X .
EZ
e23 = c8Z2
Rursus aurem abbreriandi causa, PrO = = m n
b0581
e23 = 6822
CcribauSo, X Pro:
et
bc18
22 023= c822
Teribamus 
Cum enim quantitates la omnes datae (InE, illas, uE
placuerie, nominare postumus. Atque ita habebimus
y ∞ m = = X + V m m -L O X = = X X. Gux longi
tudo esse debet lincae BC, relinguendo AB, TCU X,
indeterminatam.
Ybi pacet, s quaectio in eribus aut quatuor tantum li-
heis est propolica, semper ejulmodi terminos inveniri
posse; praeterquam quod quidam ex illis incerdum ab-
est. postine, signaque. + e- diverlimode mutari.
Hlis peractis, duco RI parallelam e aequalem ipli
AB, ita uc ex B C segmentum auterat BRL, aqualeiplim:
quandoquidem hic habetur  m; quoa quidem alias
addidissem ipsi BC, ducendo hanc lineam LK ad al-
ceram partem, si illic fuisset = m; camque nullomo-
do duxissem, si quancitas in prorsus defuisset. Deinde
duco TL, ica uc linea TR sic ad R L, Sicur Z ad n. hoc
et