# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0170
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0170?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 148, page id 1032977698:0170
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=170
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000170.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 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.

+4
Analysis Infinitorum.
CAP. II.
Et sc persendo, donec in geniturarum pro-
srestione numerus (ipsip ex supposio aequalis)
ex iplop lubducendus reniat; unde isthaec geni-
tura, caeterxq. cam sublequentes nihilo requa-
les cradent, adeog: ec reliquiterminieranes.
e
CCnE.
Pocest p in numeri Fracti modum, uc n
proxoni, ad extractiones radicum perticiendas;
cum sc instar numeri negatiri- p, quod divistoni-
bus incerrie ec hoc pacto nova in his casibus geni-
curarum ex terminorum cabula efformari.
22. Hlinc primo hyperbolici spatii armtoris
interjecti, Fig. XXX. mentura per infinitam (c.
riem explicatur: Facto enim A9)=
6)Y
c
 Y9
90: X, aC BO: y, CFIF. F ~ = y3 GUXFUNEE
jam (posica ealymeoti insinicesima) omniarc.
Ccuspatium, YBD oOr versus rinterminabile.
Ouare suxta Cl: Mercatorem rr dividendum
venit per rt x; Peu (quod ex porectatum deno-
catione cognitum est,) er est mulciplicandum in
rXx =1; cum mutatio signi exponentis ex aHir-
matiro in negatirum, quancitatem praeposutam
vertat ex dirilore in mulciplicatorem e Contra.
consulantur lemmata 50, 5r, ec lc99.
Er ergo r +x crehatur ad porestatem
Cxit p = =L, ec terminorum genitura succesra