# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032704993:0015 # Permalink to this reading: https://leibnizlegible.com/page/1032704993:0015?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 9, page id 1032704993:0015 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032704993&page=15 # Source image: https://digitale-sammlungen.gwlb.de/content/1032704993/jpgs/default/00000015.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine # Lines: 30 recognised, mean confidence 0.92 # 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. SFCTIO SFOVNDA. Ouare ad subrilissimam Inelrri Vemioni ratio. num primarum ex ultimarum methodum tran- Teo, quam lemmati l, tanquam bali inxdificasse D. Authorem, Post crolutum Principiorum MTat- hematicorum Colidum ec excellens opus neminem latere porelt. F.H autem lemma l. quodle. Quitur. uoncitares, ut es quantitorum rationes, quae ad aequalitarem dato rempore constanter tendunt, Co eo pacto propius au invicem accedere possint, quam pro dota quavis differentia: siunt ultimo aequales. Hloc aucem sequenti mododemonstratur. Sinegas; sit eorum ultima Differentia, D. eroo nequeunt propius ad aequalitatem accedere; quam pro aoce differentia D: Contra hypothesin. Duodes oblcuri aliquid mihi reliquisseri deretur, nullotamen unquam, quod lciam, tempore, expropotitionis alicujus certitudine expraemissis inferenda oborienti lerupulomi- nus exolvere mo potui. s enim quancitatibus, quae lunt infinite parrae; illud applicarem; ca- dem ac circa Baroviana Cele mihi objiciebant. Verum quia (tantae enim crudirionis virum haec latere non poterant) cam iplam obcaulam indirisibilium methodum, duriorem existima- ret, ac methodum suam non ad quantitates de. A tCr.