# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0047
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0047?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 25, page id 1032977698:0047
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=47
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000047.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.81
# 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.

ab
O
10
110
M.
e
10
a
UId
59
C AP. I.
analosis Insinitorum.
aequationem aliam huic currae propriam, 2d
vangenrem determinaram producit; +Frr F
+Fryy = 4FFYX F 4FFyy + 4Y X yy, in qua
cum F Peu P Z Ci recta, nulla nih reCEX EEPC-
riuntur; unde denuo si sposerrolli per aliunde
conquisiram xguationem Tolas rectas conrinen-
tem (quod, cum PZ Ccut licrecta, impossibi-
Lenon erit) emerset currae xgnatio Gicomerri
Cau sed de his alibi.
Scholium L. Nocetur velim, in exposco curritinco
APF liberum esse quamlibet ex lincis, DHI, HB, FD.
pro prima infinicessina adhibere, quoniaM CRICER ex
crianxulorum YPF, D EI F similicudiue, es larerum ana.
losia sponce Auune: cum ec primam insinicesimam in auE
m: auC in ex Supponentis arbirrio, in omnibus cuerx
punctis vel semper sibi constanrem eiusdemque perpe-
cuo maxnicudinis, (Wc SI h AVE L AUF l PONANEUF Xqu2
les decerminatae cuidam r, undc sibi perperuo equa-
bitur.) Vel variaca concinuis incrementis decrementis.
re quancirare mucabilem astumi poste, reluri, A K X-
qualis y SuPPONAEUE, auE B ipE es unde n auE nicem m
PrO varis ipsiuS y auE e auE l magnicudine variabIEUr.
Adeoque _ in genere hinc consequI, ProtaBBenEis
inguisitione, beneplaciro cujusris relinqui, num appli-
CaLAM F P,
an incerCepEam AP quin ec ipsam CuK.
vam ADF, in parces insinicesimas xguales vel inxqua-
les, dirisam ette supponere velic; nili cerram quan-
dam ac desinicam insius esirmarum limirationem, ex cur-