# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0276
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0276?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 254, page id 1032977698:0276
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=276
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000276.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.85
# 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.

254
Analysis Insinitorum.
CAP. V.
test; hoc estinter D9: y, ec AO: X; erit pri-
mo TE: F6:: TD: DO, seu, B: Z: : 5: y, uH.
de 25 = hy, deinde FI: TG:: TD: TO sCu
B: l:: 5: h = TO, cui A add a8 IC + C A =
I+f, cricigitur OF + IOFC A = B + 1+ f
= x = AC, unde repoliro in urraque aquatio.
 B1
Ne SE SI = LL CMMEEECNE PEO PriOri RequatiO.
nC 52y kly = gkZ + kI ~5 ex pro sccunda
X + fk = 5k + f8 + 8l + k ∞)
i
Cum autem, data relatiOne CHEVX A FI.
omines litteex exceptis, X _ y pOssinead AC
seu freduci, hac elisa remanebit aquatio inter
X X y, SCHCHEVX ADF, quXe quarebatuE.
Pollent circa methodum erolurionum invertam, Peu ex
eroluta descriptam inveniendi, hoc loco quaedam adjun-
ei: cum aurem (Fig. L. XXVL) data evoluTA ADF, ejus
delcripex AI propriccaresnon nisi rectis IL., 8D, XC.
determinari queanE, neque hXe, nis COONIEACUEYX ADF
lonsicudine, coenoscantur; solutionem hujus problema-
eis curvarum rectificarionem, methodum Calrem tanpen-
tium inversam, involvere, eo ipsomanifettum est; quxe,
cumnon exipuis adhuc disticulcacibus premaneur, pluribus
hisce addendis supersedeo.