# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0157 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0157?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 135, page id 1032977698:0157 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=157 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000157.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 recognised, mean confidence 0.82 # 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. et CaP. II. Analysis Infinitorum. urriusque currx applicaTAS, yP + 1 = pD Z, d5 R L TCU + =: p + 1γ = p - 1 Z. CU aUTeM IuXCa 3O. Cap. Y, SIE ContinOt e = x 0, hoc est (DOTIEO R Z PeUF in 9 S donec deseTIPEA LIE CUP= va AS V F) ArUTA A SV FO Icu omnin t C X9ud- liS AZLIEX A N KCO scu omnibuS X 0, qua X quantur omnibus Z c; quia candem fIguEaM juX- 145. I. X 2. hujus constitumne: crunt se omnia F C = OIH. Z e. Unde Factis omnibus LCTCu OMM nibus Zc =. b, ec omnibus pe =c, crie (quia modo TUInE +C = P + 2γ C = p = +ZP) quOque 2C B = p F 16 - p = 2b, Cen = = = b = fiGLF L 2 AGO; UndC PONITL RSUEA A D F O ad cuade2n- tem circulieris p = 2, adcogne EE = b: d X- QuatiOnOS YY X X = yy 2Cy = YY Z, seu YY . - X X SY Y X X = YY Z. aM, manente quadeantis cirerlaris hyDo- thesi, tatcuera ACO applicatah, e aquatio ptB; ACE5 = 5, _ p = = 3, WIdC RL (CUF rr = Sh; critque Factis omnibus he= d, (cum ex modo inventis omniarie seu omnia Z e Fuerint = = C) d = = c = 5 d, CCu d = 36. Schul. NC auF. n parcicularibus nimium InHXECAIIIS, mechodum per. cralem a ido, gux liber curvilinea in alia in- tiniri generis cransmucandi, cum d plurimorum mensiras inveniend exsolo prxece sentis +. de luctam. 27. Sit