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# Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149)
# Folio - , page id 1032977698:0013
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=13
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.94
# 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.

P R A F A Y IO.
merrarum inrenta derirari poste, contirmationem.
que luam recipere sequentia, uci speramus, palam
tacient. Accedit maximi hine momenti peaeter-
ea veritatem directe lequi: Omne nimirum divi-
sibile. adeoque e omnem quanticatem, vi infinita in
nihilum esse reducibilem, eadem que vi infinita, quanti-
tatem quamcunque ex nihilo produci posse; Cum Cx CO
productum ese, in quod dirisione relolri porest,
quidlibet merito centendum sic. Inde ec omni
quantitatum generi liquido imprectus apparet
omniporentix ac dirinicatis character; nullum-
que quantum, natura sua xternum eHe, (hoc est
tale, quod ex nihilo nec produci nec in nihilum
redisi potest) cridenci ac indubitabili prortus con-
sequentia erincitur, nisi enim divisibilia ac quan-
a qua cunque infinities infinita dirisione innihi-
lum abcane, ac infinitesimae pars infinicesima sIC
nihilo aequalis, omnes hactenus Machematicos
non immerico paralosilmi reosesisse ridetur Doct.
Cluverus, periitque in universum Geometricarum
demonstrationum aneiBca; ac magno laptu COr.
ruentplurima, si non omnes, tum antiguorum,
cum ec hujus aeri, quocunque eciam insenii aCu-
mine ac felicitate excogitaca, inrentiones. Ouo
vero, num ex praemillo modo axiomate MC-
chodum indivisibilium; qua actuie delideraba-
cur, inculpabilem, primariaque qua hodierno-
rum Creometrarum industria decexit, legitime
deduxerim, apertius patcat, quem hoc in opus-
culo serraverim ordinem, paucis exPONAM.
AC primo quidem, post altumtam quantitatis
cujulsumque determina in partes qualibet dala
mino.