# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032704993:0024
# Permalink to this reading: https://leibnizlegible.com/page/1032704993:0024?run=74
# Title: [Bernhardi Nieuwentiit Considerationes Circa Analyseos ad quantitates infinitè parvas applicatae] Bernhardi Nieuwentiit Considerationes Circa Analyseos ad quantitates infinitè parvas applicatæ (shelfmark Leibn. Marg. 150)
# Folio 18, page id 1032704993:0024
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032704993&page=24
# Source image: https://digitale-sammlungen.gwlb.de/content/1032704993/jpgs/default/00000024.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 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.

Considerationes.
nabili simile cA triangulum TPD seu aNio
nabile, prob. codem lOc0.
Cor: HInC ( FaE TP: F, TD: K, CAF: y.: d x.
ay. _ 1: k:: d X: d5, _C. Quod ec ex anni
2684, Octob. P23. 467. demonstrari potest.
d. 2V. In Secandis, TertIS eEC. TUCCCMrIS
disterentiationibus, simili als crichmigenere,
ac in ditterentiatione primaucilicet, verb: prat.
dx y est x dy -+ yda, quam quantitatem rur-
sus disterentiando orietur, viluy.+ d x dy + dudy
L Y dd X.
Dem: ex lococitato Anni 168+ hoc colligitur,
cum exempla non pauca in Viri nobilictimi
Scriptis prostane, celebre inter alia cs, quod
In ACtis AnnO1693 menle Aprili, Pa9 179.
videre est. Tum a CI. Bernoulli eodem AnnO,
mense Junio, P25. 255, in subjuneta illu
Ariss: Flolpitalii demonstrationi de parabe
Loiclibus animadrertione, haec exprese contir-
MaC.
S. V. Data aequatione diferenciali curvam
spectanti, quamliber ex differentialibus, aa
dy, ds, constantem, ac jugicer aequalem
adeoque differentia expertem altumere licet.
_ hac hypochesi differentiationem continua
TC.
Demi per allata modo exempla Anni 1695,
Pa5. 279 ec 255. Clacum eAt, ubi dy constans
Cuie