# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0153 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0153?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 131, page id 1032977698:0153 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=153 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000153.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 recognised, mean confidence 0.80 # 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. pit Cav: II. Analysis Infinicorum. 31 ex5. 8. aC applicatarum summa notiim FOreE spacium omnium se, unde quaestio ad sequentem devolritur: Sic centro F descriptus semicirculus A S6, roceturgue radiusr, GD: X, DC:y, D A: 2Y - X =iL MH; F15. X XXYII. Cicitem alia curV26 H 73 Cujus applICATA D H = y = f; LANGAEVeTO H K Curvam Ii YY, diCATUIquC X ML: F, PC, ED, N Et: e, N T: 0, BP: E; CrIF L. XQUATIO X ML: ALH:: XZ: NH, Unde l0 t c. LL SEquaTIO CX HATITR CVEVX, = f, seu F = y y, quare py = fl; derx =fy redacta ad intrniteliMaS e = fa + γ0. TII: FX HaFUFL CirCULIL X = p y = 2Y X = X Xd indere = X c = a y jam autem ex L. X II Xqu2 e ie - a rle- cyC tioiibus, est0 = 1 = y; undca= 1C = x6 y qua ordinatâ e Facto fl = ry dabic rt -- F y = xY = r X, e locO l POsItO 2 r = X : HIEF = := K ML: Gux SI PONItIE in LD ad Cur- va VSF, Crit; CUM CICF C = l0, SpOriUM re- ais Z A, CO e curva V SL comprehentum, seu omniare, aequile spatio expolito rectis A6, A L. X CurVA CH T interjecto, lcu omn loi 2m aurem denuo oporteret rationem curri livet