# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0154
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0154?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 132, page id 1032977698:0154
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=154
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000154.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.85
# 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.

Analysis Insinitorum.
CAP. II.
linei (cujus applic. ID seu y = 5) ad Cemicireulum
indarare. Sed in hoc particulari ad Circulum ca.
sualiam viam ingrediemur; Ad radium F sdy-
COFUEHOTIKTaLIS SR, SCCaNS EadIUMI F C prOdS
AuCrUM IN R, VOCetuITqueBC: n, erit (quid
DC, V: FC, r:: SF, Y3 FR, y =+) g: r:: r: t: : PC
e: BC: n. Quare temper ru = t e; jam autem
Cemicirculus est aequalis ominibus rrianeulis BFC
seu 2 hinc omnia ru semicirculi duplum;
2deoque e omnia se = omia l0  spatiuim
K A GF; quod aequivalet omnibus fe. Jam
32 X
concludendo, Aaty h; ec, quia yf
crit se het g fei vocatojam ercloidali spat.
t Cemicirculo: d emerset, quia omniah e = 3 d
e omniaf e, =: 2 d, haec aeguatio k =
2.pd. + 94
deOrictur Lorrcellis repula, quia ravio qod p eltrario periphe-
rielemicirenti ABC2 a lBa in Cy eliiidis cumvis CiOR
Coroll. IV. Eodem modo ex Fiz. LLXVIII.
Comiplementum Cgcloicis ADO metimur. V0-
Cetur enint BC: V, L B: Z, AB: C, NE PCHRL:X,
F. F: V =r = x (A radius dicatuEr) _ RV: 5; rC
Ata L V tangat curram. erir exiltente aequatio-
ne Creloidis, p: g: : 2 = y: c, linca IF = pr + 91
(nti praeced: COrolL. inCnuatum) CC, quia b =i r = X,
ett