# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0125 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0125?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 103, page id 1032977698:0125 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=125 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000125.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine # Lines: 29 recognised, mean confidence 0.85 # 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. CaP. I. Anabysis Insinicorum. vel ZX _C. per eandem A dividituE, WE (B A) _c. designatur eadem terminorum ipsius Z eries, cum singuli termini per respectirum di- mensionum ipsius x numerum sune diviss, SiC = 3X + : bX X AC. _ (A) n 2 X + 3BX _C Sic et somma terminorum simplicium y con imentium vocata f, si per majulculam quari. dam consonantem Verb: Or: B mulipliCCTUI, desiono per (Bf) auc (B fy) hanc Cummam simili- ter mulciplicatum; sin vero per B diridatu erit (S) aux lE) summa eadem similicer di- vila. AB. HBS quantieaces parenches includo. cum non nisi junctim in aequationis dirisione duEmustiplicarione _c. adtriberi possine, uei ex earum nacura cornita laris innoteleit. landem quantitaces determinatas, cimen tionibus equandis quandoque inferrientes, ap- pello m, subnormalem: t, AC SUFaMSEHLEM: dico. 37. Sit 2 = 1 - 7, erit Z + = fyy; unde requatio juxta 8. 94, FX. L. huic subtangenti conveniens est C.0-