# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0116
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0116?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 94, page id 1032977698:0116
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=116
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000116.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.84
# 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.

nalysis Insinitorum.
CAP. I.
EInde juxta resulas 5. Z, e 35, traditas, aC
ope xequationis currae elila y, emerset subtan
sentis 2o valorem manifeltans equatio, post
debitam per 2 x F 2s depreHionei, Ca; GuX
sequitur:
YY X X + SY Y X - X - 5 X = - 5 y y + = + X
quae, Polita perpetim 7 0 seu t in o) C, (ub:
tangentialis currae AC G naturam prodet: Cu-
jus rurlum Cubtansens  R scu k exregulismio-
dociraris hâc rarione determinabitur,
5 ∞ YF = X 
2 YY X + 5 Y Y = 4 X = 35 X X + 3 F X X
R
qui ipsius e valor, s supponatur major aur mis
noc aue aequalis ipsi t, collisetux etiam esse
2SY Y + 3 X = 2 Y Y X + 35 X X
3 X X
eslemaiorem,
minorem, aut equalem ipsi F, hoc est invento
ixsus valori,
YY X X + 5YY X = ∞
n 5 p g. . - X 3
5 X
quibus denuo quontitatibus ex equationum lese
comparatis, 2C per st x divisis, emerget FOre
2.57,Y majorem, minorem, auc aequalem.
ipsis 35x x + x; qux omnia, cum provarid
ipliS