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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 9, page id 1047377675:0025
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=25
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.75
# 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.

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diculari ex puncto pinrectam es, nimirum s3: manitectum
CAt mixtilineum z o st a P esc aequale luperlicicirrunci,
quoniam inclinacio plani secaneis lupponieur ene angulus
lemirectus: noctrum erso est demonstrare aequalicarem mix-
EilinCOrUM RSTVS23 sit ∞ ZSI A P: primonoshunc aequali–
cacem demonstrabimus in poltremis fisuris, ubi supponimus
curram RV in prooressu ab R ad V rectam 2d sempermasis
appropinquare; ecccium curvam = D in progrestu a 7 ad I
ad eandem rectam magis appropinquare; ee ideo curra est
in proorenu a  ad si eo masis appropinquac rectam E A+
quoniam eodem modo appropinquaE CuErA ESt FeCtAM R AS
quo7 Drectam 28. Si praedicta mixcilinca non lune aequa-
lias lic incer illa a differencia: E mixrilineum R V d2 diuida-
cur a toc rectis rectae Re Parallellis, nempe 53, I4, Vd, l23
eE ab earum cum curra incerfectionibus R, S3 T, V, verinqua
ductis ad parallelas proximas perpendicularibous RE, 57, 5a,
IB. Tus Vn Ranc duo rectilinea, nem pe RES N P id Z CXEra
mixtilincum ee 7 SOTnV S2 intramixcilineums quorum dit-
Ferencia Ec minor quam a, eridens enim est hoctieri posse.
peoducancur recta 53, T4, UE utra sque currAS PFI, 7 D incer.
secent in penccis N, L, on C, e iunganeus parallella, recim
28; PX, NO, NK, LMI LC. IIB arectis mixcilincum diuiden
cibus terminacae. Deinde diuidaeur rectangulum B a arC-
eris, recca x a paraIleliS, T. F, XF, nuD, ∞ A, in receansutUI
B 5 ae quale mixeitineo P N32, rectangulum X  aequale
miscilineo HL. 4.3, de reccangulum in L aequase mixcilineo
L. IS4: de ab incer lecrionibus rectarum rectangulum Badi-
videncium cum curra siEst, nempe r, or, 273 St, aUICANEUT Per.
Pendiculares verinque in diriAenCeS proximAS, NCMDC LZ 
st g
nP, HSB, S2D, IEA UE F 2M Z pS2 A R Aac reccilineum
inera mixeilineum, s fit  o 2 H 58∞ X AAF recrilineum ci-
dem mixcilineo circum seripcum. Pater ex ancecedente l2
ese nd X seu B R, UER2 d472 Teu F F, _ permutando uE PZ
ad R2 IEB D P a d  R; _ isCOUEP3 ad R3 ica B X ad H X; (Cd
1C.