# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032704993:0052 # Permalink to this reading: https://leibnizlegible.com/page/1032704993:0052?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 46, page id 1032704993:0052 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032704993&page=52 # Source image: https://digitale-sammlungen.gwlb.de/content/1032704993/jpgs/default/00000052.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine # Lines: 30 recognised, mean confidence 0.91 # 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. demtx disferenciam cy substimendo: co ip(o manifectum cA, AY Cu quanticas constans aC determinata D e, exponens frero Cc indeter- minata ∞ x, ac idcirco terminus expositus ∞B, hujus differentialem, (Ei canonum a Cdl: Leibnitio tradtirorum cenor suc oblerran. AuS) FOTC X x d8: quod camen legiti. mum ipsius e differentiale non esse hinc constat; primo quoniam indeterminata differentiacionis capax hac ratione non ditte- renciatur: Cecundo quod de seu iplarum differentia, ob constantem ex hypotheli ca- rum magnitudinem, nulla (Ic; adcoque da aequale nihilo; unde totus hac methodo in- ventus terminus differentialis, quippe in ni hilum ductus, eranelceret. Ouamobrem laudarum laepius D: Leibnirii calculum disse- rentialem, licet aliis quamplurimis lufficientem, hujus tamen generis Curris, quantitatumque modo provolitarum differentiationi non in- Terrire, Patis demonstratum autumo. Ilalce tamen differentiationes juxta Baro- vium. ponendo loco x iplum x + e ac loco iplum y + a, non admodum difficulter Reri utriuque methodi naturam incelligenti ob- Ccurum esse non votelt. Licet ex inven- Ed