# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0148
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0148?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 126, page id 1032977698:0148
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=148
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000148.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.88
# 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.

+2
Analysis Infinitorum;
CAP. II.
Schol. Poruiser generalis repula cerminum quemlibet
ad insiricesimas redisendi, hilce aliisque praemieri; cum
ducem iplam operacionis methodum Expius; s non ad nav
seam, adhibuerimus, quilibet sibi compendia ip(e exco-
Picabic. Hocincerim in calculi commoduri errones otiser
vene: terminum quemcunque ad infinicesimas redactum
ese eundem illum terminum; cor numero cerminis inAni-
cehmalibusjunctum quor inderertminatas ipse cerminus con
cihuie, quomodo rero infinicesimales efformentur seguens
exemplum docebic,
I. In expolito quocunque cum CUO SI∞HOFEFS
ino L X X y 3Z4, prima ordine consideretE
indeTerinaE X; terminusque per ipsIUS X ex-
ponencem mustiplicatus unica x diritionis ope
dempea, ducatur ine, seu propriam ipsi x in
tiniresimam, suo signo debire atlcctam; et ha-
bebicur cerminus inEmiresimalis primUS 27Z IXC.
II. Jam, secunda indeterminatâ y assumta,
cadem opcratio repetatur, emersetque proinfi-
nicelima y secundus terminus intinicesmalis
3X X Z 4 y y a.
TII. Tercia indeterm: Z sequacur, codemgne
Ordine ac lese peragantur omnia, orieturq: TCr-
tius terminus intmite simalIS 4 3 X y 3∞ 3 ∞.
IV. Eoque juxta omnium indererminatorum
numerum continuato, obcinebitur hoc in cafu
X X g 3X 4. + 2 73= 4 X C+ 3 X X Z 4 Y γ a 4 4 X X 73
Z3 et DFO terMINO X X Y324 ad infiniceli
Masredacco. determinata, si termino expOCico
milceantur, quantitates monent. De Sirnts non cs
940d