# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0147 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0147?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 125, page id 1032977698:0147 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=147 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000147.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine # Lines: 28 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. C AP. II. Analysis Infinitorum. 2 I, eum terminus Verb: CP: ryP Peaxter deter. minatasr, qua nuslam mutarionem inferunt: unicam tantum indeterminatarum, utiy, con- tinct. II, cum terminum Verb: CP: r yp f4 Dlu- resuna indeterminatx y ec f. in se mutuo ductu, ingrediuntur. In L. casu lic quantitas exposta pye; erit ea ad infinitelimas reducta ryP + bryp = a. Jam esc omnia pY y P = 1 a =iry P ex 5. praecedenti patet. In II. Calu, sIT expOTita Quanticas X Pg4Cb; erit eadem ad infinites masFCdacta, X P y 2Z b + p y 4 Z b X B = 1 e +q X PZ b94 - 1 a + b X py 4Z b = 1 t Obieres cermini intiniresimales ex unO expO- Sco oriuntur; quos infinitesmales brevicacis ergo, lictera M; expolicum verocerminum lic- Fera N designabimus. Esse autem omnia M aqualia absoluto volori ipsius N, hoc modoerincItuE; FIAE N = fd erir veraque ad insinitesmas redactâ N + AV fa 4 d fd - 10; _ deletis xqualibus, infini- telimalibusque infiniries sumtis, omnia M omnia d fa = , 0; sed omnia d f. 1 - 1 8. juxta praecedentem = fd i N; erso omnia M N; : c: d. Schol.