# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0469
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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 447, page id 175905688X:0469
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=469
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000469.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.62
# 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.

1-
10
1d
+
D0.
38X
5 +400
cb∞+
D0
odua
le epst
lve
DE REDUOTTORE A OUA PLONRM. 447
Duanescac  CBaMM 2di termini requationum sequencium
quadratarum, adfectalu suis signis- L ec -, brericatis cou-
∞3, pN, qu stons  per xx. L pX F;q
2∞8V= g-
2pL
vel per Xx, F EP  =5 BV: P. L
in X, L= ∞0,
vel perx3.  Y∞0.
X P at  exs O PeFXX L p∞ = - 8 Y Y
p∞0,
FCc - q
+PP ∞∞)
Vel perX X, f p - 1 - In X, +  ∞O.
13, P~ 4X3 at O Per X X F PX  = 9 8 V 414. L 30,
s
X  =98 V . 99. f 5∞0.
vel per XX f
x3PNt , , 5X, t∞O PeFXX L PX BV = ∞O,
vel perutramque (Xx, L P L inX, L =∞ 0
harum duarum)
Cxx B = YSI X, 8V5∞O.
r 3F.  Stum, 3t3O PeF XX L PX L q- 2 8 V: 9-
e PCF NX ( pX.  = 8
+rx
PF
20L PCt ∞C:
r DO.
X, PXt,  YX X = t∞O PeF ~a L pA. L pD BV L p+ I pr ∞O
ex peFXX-L PX - L V C. PF∞O,
e per XX L P = d V
+PP  p ∞O.
3P ~, 4u3,  F, 1200 per xx F P X L PP∞O,
ex PerX a L p X  = 48 V + 99.  = 200.
X, PXt, F X, F 1∞0 Der XX. F P a f pP ∞ O,
ex PeFX X L PX B V = ∞0.
3 3G 3libib S, t3O DeFXX, L = B V F =4IM X, 1 γ∞0
sa, rocabor,  ultimum cerminum Z