# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0258 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0258?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 236, page id 1032977698:0258 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=258 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000258.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine # Lines: 28 recognised, mean confidence 0.84 # 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. 236 analysis Infinitorum. Cap. V. tem lOcus ipsIUS Z Cx CNEVE AD FF relatio- necornita ar determinata. Ouare dato (pa. AB 5O seu Omnibus Z daTUE CUEVX A DFF ratio ad axem tuum AO. Notaripotes, quia 2e = ru, Forc = H hoc est, curram seu omnia u, aequari (p2- tio AS O per r determinatam diriso, seu omnibus 20 Coroll. 2. Ouo verohac methodo indaretur, num parabolitormium quaedam ad mensuram DOMIE LeVOCaTI, SIC CUTVA AD F F aequatio r p= 4 ∞ 2 = yP, Cric ex tangentium methodo scur = a, unde QR seu 1= 94y P X 9d kk (CU QuadEAEI D R = yy + P P X x: Jam vero, cum FE kk: yy: : Z Z: Yr, CrIE, POsItO pro kk in ventoralore, ac eliso yy TIOHCM CUIVX, HaeCCC CUEVE A5O Det xqua proprietas = 2 - r y IM unde Si dimensiones ipsiuS x SInE F. C C vilincum A5O ex C ap. II. 5. 1Y. CorOI. semper menturabile; satersO 1.