# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0103
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0103?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 81, page id 1032977698:0103
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=103
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000103.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.86
# 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.

2
L AP. I.
Analysis Infinitorum.
tanoentem TD insiper recta BH, Curram ADE cangenti
in E, cum TC ipE BE perpendiculari, eriejuxra lemma-
tapraemista triangulum BTC paricer ex insiniresimis com-
Posicum; quin de Fis. XXII. ductis DR 2C ES, tangen-
ribus TD ac BF normalibus, crichisintercepca axis por-
EiO RS, alixeque quam pluTiMA HTA, AE, RC. ex infini-
relimarum penere; quarum consideracionem, cum tangen-
tium doctrinam mulcum promoreae, quin _ currarum
mixcilineorumque mensuras imtmane quantum adaugcac,
his annectere mectiodique hujus unirersalicatem, ac majo
remlonge, quam prima tronce promitrere videtur, exten-
tionem demonstraste Forlan non infructuorum fuerie; insi-
mulque non ubique obrium cheoremarum Foncemtocrivo
Scacurientem ostendiste; modo, quod hocinlabyrinchos-
um est Ariadnes, incer InAniTesIMZS, 2C guantitaresreje.
ctaneas ex le ribus lemm. r0. XC. exacte dictinsuaeur.
78. SINEFIT. XXII. Ut CuPEa, FQ: t, Ad: x,
eD: Y; InsinitesIma D HI: C, HF: a, D F: W, DR
tangenti D Z normalis; BE sic ea linca; qua
Tansac curram in E. puncto ipsi D proximo, _
huic perpendicularis F S. CrHnE, Iuxta Lemm.
18, BT: I. LUM R S: O, PaTITEF INANITCLIMIE.
DCtE jam CurrA OMLL ejus natUEX, uE ductis
D M; F L, _C. ipsi AO parallelis, Sit continuo
 M agnalis Z 9, _ G L aequalis B P; Crit, Fact2
XMiPECF aequali de aequidistanti, lineola XL;
seu disferentia linearum 6C ec YML aqualis
56 P seveF I; _ M X = a. Sic insuper alia
CuEVA ZKV illius proprietatis, ut ejus applicata
DK iplam gR (cuL, ec Pr iptam PS ICUI = e +0
Contanter adXGuCF; CrIE X N ParaHlela O P: e;
ec NY semper aqualis RS =O P SCU,0 = e, tan-
Sat autem MZ CurVaM O ML L, CICque LY: h. GUx=
ritur C.K, LANGENECM CUEVA ZKV determinaNS.
Hinc
81