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# Page: https://leibnizlegible.com/page/175905688X:0038
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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 16, page id 175905688X:0038
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=38
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000038.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 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.

G F O N E Y R E K
nestabeat, adco uc punctum C regulxe ac circini be
neticio inveniri posit. Sed contra, li omnes sinE paral-
lelae, etiamsi quaectio in quinque tantum lineis provO-
lita Fuerit; non poterit tamen punctum C dictaratio-
ne inveniri: quia, dum quanticas x nulquam in sE qua-
tione reperitur, permiltum non erit amplius pro illa,
qua y vocata tuit, quantitarem cognitam altimere,
cum trac ca ipsa FUIEUTA LE, GUAIL GUXFOFC OPOFECE. FF
quandoquidem illa eres dimensiones habebiE, nOn POTC
ric ipsa nili cadicem ex Cubica Equatione eliciendo
inveniri. Ouod quidem in genere, nili ad id aliqua a c
minimum Conica sectio adhibeatur, heri nequIE. RUT-
sus, licet linex ad novem ulque datx sint, dummodo
non sint omnes parallelae, semper hcri porcst, uc A
quatio non altiiis quam ad quadrato- quadratum ascen-
dac. quare ipsa per Conicas sectiones resolri quoque
sempet pocerie, eo modo, quem postea sum explica-
TUrIS. AC denique, licer habeantur ulque ad F3 lincas,
efficere semper pollumus, ut sEquatio quadrato-cu-
bum non excedat. Pea ut illam deinde relolrere quea-
mus beneticio linea, qua uno duntaxat exadu liipra
sectiones Conicas est compolita, quemadmodum criam
Post explicabicur. Aeque hoc primum elc, quod hic
eram demonstraturus; sed antequam ad secundum pro-
oxediar, opus est ut in genere aliquid de curvarum li
nearum natura dicam.
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