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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 224, page id 175905688X:0246
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=246
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.87
# 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.

224
FR A N CESCF a SCH OO PE N
nOn PrOZ bV
cbb
rePOnCTC=
Ecribi Potest a d F bb
b. +
2bb
Vac. Similiter prod +
B- bd
b. +d
b.Fa. Sic etiam loco d +
 Ecribi poret
. cum sub eodem denominatore reducti Faciant
Bb. + bd + da
b. = a. Fc denique pro, . Scribere potumuS
Yc. L Y a VelVC = Y a. FF sic de aliis, ut passim in hilce Commen-
cariis estridere.
Sed si sectione Fsyperbola existente exc.) Nocandum hic, ap.
plicatam esse (yperbolam eilinearum policioni, cui postea Cir-
culum quadrare ab Authore ostenditur. Ouod tam perspicuita-
eis quam brevitaris studio factum; quandoquidem ea, cum litera
A, B, C, D, dec. in iildem omnium tisurarum locis reperiuntur,
qua ibidem scriplic, sic tacilius incelligi porsunt, quam si nuncin
uno, nunc in alio essent quarenda.
Frenim cum requiritur, uc productum, quod oritur ex mulei
plicarione C B per C F, aequale sIE ei, quod fic ex ductu C D in
CH, oportet lineam illam curram tranlire per quatuor interle.
Ctionum puncta dacarum linearum: nimirum, per incersectionem
A, linearum D A, A B (quoniam eo casulinexe B C e C D nullx
sunt, ac proinde lingula, in lingulas ex religuis ductae, nihil pro-
ducunL), ee per incersectionem C linearum AB, G VI, (quo calu
linea CII _ CB nulla (unE): nec non per utram que reliquam,
UEpOTC ipTATUMI FP, OFT (quo casu C L _ CHI nulla PunC), e
iplarum D A, F F (quo calu C D _ C F nullae Cunc), quae in hac
tioura non sunt expressae, sed in Circulo oblerrata apparent.
Ende, cum Drus des Cartes, brericati Audens, reterre voluerie
calus omnes ad unum exemplum, tigurae nempe pag. F2. mirum
videri non debet, quod, postquam hujus exemplilocum Circu-
lum esse octendit, nec in quaestione quicquam mutarie, eidem li-
nearum politioni non LIyperbola licut Circulus responderit. Nec
etiam hincullus sequitur error, quandoquidem tota quaestionon
dum decerminata existit, sed pasin. 33 primo decerminatui.
Ouippe heri potest, ut, paucis in ea mucatis, eidem linearum
policioni, cui Circulus comperit, quadret HIyperbola; de quidem
FIyperbola, gux non transeat per ullas dacarum lincarum inter-
sectio-
vates
uIII
al
Qua a
eribu
Cat
neaS Cu
recipipe
illam.