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# 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 37, page id 1032977698:0059
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=59
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

C. AP. I.
Analysis Infinitorum.
25. SinC FIE. XT. dUX CUEYX, AD E, QiIaM FaN-
gut recta ZD; item alia curra A N K ad cundem
axem posita; dataque c relacio inrer utriulque
applicataS DO X OH; OpOrtet ducererectam
E N K TANSENLCM CEraM A N K in N.
Sic AO: X, DD: γ, FO: F, intinitesima
P = DHI = NL: C, C HI: a, CFIE PP =. y + a,
AP  X + e, (quo Cymibola in seguentibus, ubi
curra iildem majusculis distineta reperitue, ut
aliud insiIeetu, Perpecuo obrinebunr.)
Sic item ON: Z, intinitesIa LK: 0 erit:
PK = Z + 0; Y CII linea COgHItA, FO SUIDFAN-
SenS queIca = k.
CI CrZO BIC ASTIIIEX (INE FEeS RUMIerO INFI-
nitesima, a- e, 0, cotidem invenienda CrunE
aeguationes, quarum prima: ye =i ta, quia
t: γ:: C: 4; secunda: Z C  k0, QWI2 k: Z : : c: 0;
+Za
Unde ex UtraGLE, C = -  (CU , =0.
tertiam ipla curracum relatio suppeditabit.
26. SiciricuE, in exemplUm, yy = Z2 = rr.
qua sequatione ad intiniretimas reducta, polto.
Gue Deo y ip(O y + a, ec 10c0 Z ip(0 2 +0,
OFICIUE Y Y + 2 a Y + ∞ a - 2 2 = 20Z = 00 = YY,
d, rejectis juXta 5. 6 ec 7, rejichendis, ay
=102 Undc 0=
ay
t2B
= ex praecedenti, q1 2-
e i n