# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0086
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0086?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 64, page id 1032977698:0086
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=86
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000086.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 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.

64
Analiysis Insinitorum.
X
cadem erit cumhac 10  ry
100000
C AV: I.
ad spe-
cialem illam pertinens Logarithmicam, quae jam
obcorcoium, quem in creometria practica pex
Aac, usum inclaruit: quomodo vero ex da-
tonumero y inveniatur ipsins losarirtimusx, _
contrarium, hinc latis apparet, ac uverior ejus
dilucidatio hujus non est loci, cum hanc x-
quationem ex more in algebra ulitato tractant
ulteo Tese oferant.
48. Sit, retentis superioribus; in eadem
FIT. XVTZT. NVO. L, _QUatIO CUIVX y X = p X -
Oporret citangentem designare, unde ipsi x Cyf-
fecto x t e, tum ipsy substituto y F a, utI p 2-
eaer. Peaeced. emerger requatio ad infinstesimas
redacta Y + a X + e = qu X  e  f
S seu mulriplica
riono instituta, y x Fe F X yX + 0 = 1 a + cp2 + c-
2pX+0-f95, deletilque ex 5. 7, delendis
g2 4 C 4 X yX + C - 1 a  rx+ e- 50s; qua devila
per aequationem currxe exhibet ye + X yc - 1
pe _ loco a reposito  ac aequatione in 
ducta, 2ye + xyCe = FrC. quaesita aequario
ad tangentem;
PONE aurem, ex Scholio 1. 5. 3, POTIta m
intinira, loco cipla surrosari, e habebit
Elia aequarionis FOTMIL.
46. Cur