# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0066
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0066?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 44, page id 1032977698:0066
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=66
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000066.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 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.

44
Analysis Infenitorum.
C AP. I
rium heck, valores jurca primum, quem de-
dimus, modum inventi, Cufficiantur; hosenim
valores ex data currarum, quas relpiciune,
proprictare etiam datas esse, praecedentia intel-
lixenci latis manitectum cxit.
33. Ex: TF. ANumEd cadem FIG. XI. VocC
tuE AD curra perpetuo c, cujus intiniresima
DF SEW; dicaturque ip(IIIS TaNSCNS TD: S; CC
manentibus iildem, quae in praecedenti exemplo.
Ermbolis, aequatio illius relationem exprimens sit.
sC
c+
yy + r X
YYC  y y X 4
c0 + XX = yy +YC OPOFTET Ci
tansentem designare. Cum rerohie Fractiones
Occurrane ex termini insuper irrationales, varii
fune modi, quibus intentum allequi valemus,
juxta rarias quancitatum allumtiones. Sic aluI
t0 inteoro termino sC
fNNC4 dyy ∞ 
r+C+
1)+r2 ff, item alio
c5 + x~ = ZZ, erir aguatio ex altumtIs OE
ta f + Z Z = y y + YC; qua OrdinatA, UE FUprZ, 2d
curras respectiras, ex reducta ad infinitesimas
dabit 2. f0 + 221 = 2. 7 a + r2. Inde sublatis per
cuerarum proprietares infinicesimis politoque
et  (CA enim L: S:: e: W1) exie FaCta reduCtIONC
debita = 29y Iih + rskeb
2FFB x 2Z21
Duod Ealix ouanticates terminocum irratio.
114-