# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0265
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0265?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 243, page id 1032977698:0265
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=265
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000265.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.87
# 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.

C AP. V.
Analysis Infinitorum.
249
axem A9 COnCaVa, FIG. CXXVT. rectaS ZD
Sc BF curram in punctis successire ab axerc
motioribustansentes, utroque lui extremo cres-
CerC; altero quidem per infinitesiam O F seu
it altero per BC. seu a; linde Facta ZD = 5,
erit tansens proxima BF. = sF u + a; est enim
CO = TD per Superiora. Si vero Tuerit Curra
AD F (FIZ. LXXTY.) VerTUS AXCIM COnVeNa,
cansentes, altero sui extremo, quo curram tan-
SIME Crelcere, Per W (CU OF; aItCTO VeTO,
quo axem intersecant, decretcere peF ZC. (eun.
Hoc ett, (I ZD. TIF = s; Crit BF = 5 + 1t = 1,
eAenim BO:= C D Per anteriOT.
ACC Opus est addero, G rectx CTrv2S in PUNC-
tis ad axem succestire appropinquantibus, Fan-
TanE, Futurum ut, Polita BF = 5, (II ZD =
s. u in priori, scd 5- u +n in polteriori cau.
5. 9. Cum autem omnis currarum in rectas
ImuITatIO in CO CIta Ct, uE inveniatur CumIMa OM-
nium u Ceu lonsitudo rectae LF; hinc sesc oF-
terune methodi, a prioribus, 911255. 1, 2, _c.
recenluimus, divertae: verb. Sc. Sit Fic. LXXVL.
D
bus, Crmbola: est, uti norm eAt, ZD: D 9:
DF: F FL, Ceu S: Y: : W: a, undC (CMPCE y I = 5a.
Ot jam hrinc lonsitndo curvae AD F. inda-
setUI: describatuE, FIC. F X XVII. curra sccunda
MLNL, cujus applicatA NO (IC = D B = y3