# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0074
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0074?run=74
# 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 52, page id 1032977698:0074
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=74
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000074.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.90
# 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.

Analysis Insinitorum.
C AP. T.
3cCf20tCCf n =2fZ 70+ 3ff227 a + ff2 a.
Onde articulus hujus resula primus demon-
arationem Cuam Petit.
POEEO CUM CX CUrvArUM NAtUEA CIC a=
et = 0 =   1 = -   2
2
 hisce in
infinitesimarum locum surrogaris orietur requ2-
tio, ubi finguli termini (Colis illis, in quibus e
reperitur exceptis) per ejus currae subtansen-
tem dirisierunt, ad quam auc cujus applicatum
infinitesnta reterri debet: iltique, quos infi-
niresimae i ecu inscediuntur, Per curvarum
hilce infinitelimis crescentium tansentes, uni-
ea curvarum potectare diminuri, mulciplicati
apparcbunE.
Onde, rouationem reducendo, ip(a Opera-
tione patebit lequentium hujus canonis articulo-
cum demonstratio.
Ouam obiter trronibus indigitasse, ne LX-
dium pariam, hic susfecerit; exercitaris alio-
quin Catis obviam.
37. Sit Fig. X L. Perctantibus iidem, f2 = y y
hOc CK, CUEVA A D FejusnaturX, ut, ductis dua-
bus cueris ACG _ A N K ad cundem axem,
sic perpetuo rectangulum N QC aequale qua-
deato in D 9: oportet uni ex his tangentein de
Cignarc. Ouare, adhibitâ 5. 35. tradita methodo,
erie, retentis iidem subtansenium symbolis.
xqua-