# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0057
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0057?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 35, page id 1032977698:0057
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=57
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000057.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.80
# 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
2
2
di
1
C AD. I.
nalusis Infinitorum.
= 2I y X X Y, _ appliCat curVX deguatiOHE;
tactoque 8 p = 24 ∞  + 20 X X py = 12 X y
28 x y erit, repolito hoc valore in locum
spCIuS 8y ac dirisione inctitura, t = N. de-
onstrationem non 2ddo, levinesorio, pote-
statum Ermbolis generalioribus adhibitis, ex
Praecedentibus eruendam.
22. Sit jam, FIZ. X, CUrVa ADF, Cujus
DarS AD VOCCtIE: Z, INTEKCCPEA A D: X,
applicata D 9: y. hujusque proprietatem ex-
PFImCHS aQUaTIOSIE ZZyi = r + ppy ZZ.
oportet ei tansentem ducere. Ouare polito pio
Z Ip(OZ + W, FrOy iBIOY + a, PrOx ipIO ∞ FC,
redisatur ad insinitelimas, e deleris juxta lu-
Periora delendis, orictur 4Z Z y X C + 3ZZ
X yy a + 29 X ZW = 5 p pZZy a + 2 ppy ZV.
Cunque ob triansulorum Z Q D _ DHF
timilicudinem, appellatis tansenti ZD: S, Sub-
2: t, EF 1 = = item a L  3
emerset, hilce valoribus ipsorum u _c a 10-
con aequatione Currosaris, ac divitione per
institura, requatio ad tansenrem + Z Z y X  F
+3E~y X + 225y X  2 Pp9 Z5 + GppY 22
Potuisset ec regula 5. 17. propotita ad hujus ges
neris curras extendi, nisi aliam occationem iri-
ter sequemia prastolari malus ACMIS.
25. 1O-