# Leibniz Legible — https://leibnizlegible.com
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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 455, page id 175905688X:0477
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=477
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000477.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 64 lines, status machine
# Lines: 64 recognised, mean confidence 0.68
# 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.

102
0ie
+1
11O quor
1+ 23
tC. Ir
+1
DE AEDUCTEOHE A OUA TZONUIM. 155
2a
5
Pars.
Si aguacto aliqua 6 dimentionum produci posit
mulciplicatione duarum aliarum, quae lingulae 3 di-
mensiones habeant, in quarum alterutra unus pluretre
cermini sinc ∞ o; erit ipla divilibilis rel per eequatio-
NEM EAMEUM Q CELINOTUMI, juxta 2 dum parrem, vel pet
aguatiOneM ∞3   y X X. L Z X -f W ∞ O, in qua taneum
alterutra rel y vel Z estv oi quarumque y, Z e W ralores
IMVCHIHNEUE PeF SCGHENTES aeQuatIOHCS.
Aquationem Propolicam, sive in ea aliquis terminus deficiat,
Tire non, Sic delignabo: x Lpx5-  qu+  rX3- ( sa X-  FX- L v∞O;
ubip denotat quantitarem cognicam 2 di cermini, vel o, Aisdct-
ciac; q quanticarem cognitam zeii termini, vel o, siis delici r quar-
ei termini, _c.
e 2
s
39
12
L 5400. + 99
+PP +25 + 1P
+99
Vs
e
+ 4sq
 Ass ∞0 W∞ + 22 9
+ pt. - 3pgr = 4ppV
45
+ 2pr
2pps + 4psi
+ 2tp +544
43
L99PP + Fp3
49∞0 y2- 2p y3 + 4 yy - ry + pr ∞0
+-
+ PP - p9-s
362
292 pq0
L e0r
4
Exq
tis
Py. +9∞0
P)
1Y7
14
i0
W IB = rWB L V ∞0
W W - YV F v ∞O
y30.
∞O.
WV X
1 O.
Y∞O.
Duan-