# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0045
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0045?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 23, page id 1032977698:0045
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=45
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000045.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 recognised, mean confidence 0.68
# 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.

e
M
C AP. I.
2r ek
2. Y X =
+
b
n-
γ
Analysis Infinieorum.
2 +kX
X X Y
yM
erkk
romm
 py
318
quE quae se mucuo ex natura aquationistolune,
ACE
2rCk.
ym
2 Ck X  - 2k
3 1i2
m ec reducta equa
tione += eadem cum modo inventa.
. ∞
2. Si VerO Curra proprietas hoc Aagiter,
Porecit _c ipCa DF, seu tanS CHEIS AUE, juxra
Lemm. 25, currae ipsius porrio, infinicelima
locoassumi;
Sit, verbi searia, expolicae currae hacrela-
tio, UE, VOCatA CuEVE POrtiOnE AF: Z, IE
COnTINUO Z Z  X X 1 y y, e delignanda sIETCC-
IA CMEYAIM CANBCHS I L; GuAPIOPECE aNumTa
DF = -: erie, per modomonstrata
11
2E: F P:: D F: FLL, TCH, 5: 9: 3
TF: Z. P: DF: DF TCU, S: F:
1
(3  FF.
m: sIM
DH.
M 5m
Unde reducta hac aequarione ad inAniresi
Mas, hoc ot, loco rectarum AP, PF _
CUIEVX AF ad xquationem adhibiris rectis
 ∞   e QD y   AeC BOI
51
Sm
cuEVa AD  Z =  Orietur xquariO.
∞