# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0229 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0229?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 207, page id 1032977698:0229 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=229 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000229.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine # Lines: 32 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. III BId CAP. III. Analysis Infinitorum. tio, erit solidum hoc modo productum in ratio- ne ad cylindrum, ut omnes disterentix quadrato- rum in OK, _ D K, seu omnia 2by yy 2d omniabb, hoc estut omnia 2br e P 2 2 x p ad omnia bb, adcoque UE p + 4 = p + 2 p ad r. consequentia ex loco citato nullo negotio colligitur. 5. 29. FFlxc de parabolis; quae sI g SItma- ior quam p ad earum complementa A F M reterri possunt; sin autem g ligno negativo afficiatur, erit currae aequatio ad alzmtorostr- perbolx: quarum colida cimili modo genita ee hinc dimensionem, determinationem Caltem, accipiunt. 5. 30. Sit Fic. XLV. P0lO ML, norma D 6 verrice A, descripta conchois ABC; item radio A D seu r delcriptus circuli quadrans AD Z VOCentEgUC D BL: S, GD: Z, GB: X, 26: y, exIE IUXta C dP. PPXC. S. 36. Conchoidis DeoPIiCtaS Sy + Zy = X Z. Adcoq. JuXta 5. 27. Colidum ex quadrante circuli ADY CIECa Z M (quae nOrma aequi- ditac) FOtato, seu OMMMIa 5Z FZy aequale Lolido intinito ex spatio conchoidali circa nor- na D _ in intinicum productam eOtatO sCII Omnibus XZ. CH