# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0124
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0124?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 102, page id 1032977698:0124
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=124
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000124.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 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.

102
Analysis Insinuorum.
CAP. Co
varum interceptas applicatasque, quin de ipsas respecti-
vas curras exprimuneur; reltarer hanc repulam exten-
dendi modus ad ejulmodi curras, quarum indecerminatx
incer porestarum exponences reperiuneur, uni 5. 4.7. e
segq: rum e ad alias, quarum aequariones non; nisime
diancibus insinicetunis, exprimi valene; quas incer se-
quencia maxis commode rractabimus: licer urrumque
tioc non tancum sed e omnia currarum penera ad me-
thodum 5. 35 expolicam reterri valeant. Hlanc aurem
subransencium subnormaliumque variecarem exactius dis
curere, ac ad unum pluresre, omnibus eamen inverie
mechodi casibus surticiences, canones reducere, nostri
nunc est nec instiruri, nec orii: non enim huc spectan
res mechodos omnes, quae animo adhucdum obversaneur.
explorare permisir cemporis aupustia. Incerim, ne curiosio
ribius inquirendi occationem praescindam, paucula qux-
dam cencamina subjicio; insimulque quomodo ex singulis
immensum exemplorum ac cheoremarum apmen, cirra
ultam calculi molestiam, educi queac, extibiro lerispe.
cimine oMtendam.
06. Onem in finem, quameunque cermino-
rum summam cum determinatorum, cum simpli-
cium x continentium, quibuslibet tgnis aF.
fectorum, ut X = b X X _CC. L Y VOCO Z;
ac per eandem Z, auc Colam, auc in quorli-
bec x ductam, UE Z X, Z X x ecc. APermA
jusculam quamlibet vocalem A multiplice
TUE, uc (A2) CAZ ∞) dcc. denoto omnem
ipsius Z terminorum seriem, cum Cinguli ter-
mini per dimentionum iptius x numerum Pune
mulciplicati: AC (A2) = 3X +2b X X _C.
_ (AZ ∞) in 4 X  + 3b∞ _C. VBiverO L
ve