# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0209 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0209?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 187, page id 1032977698:0209 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=209 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000209.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine # Lines: 30 recognised, mean confidence 0.87 # 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. CAP. TII. Analysis Infinitorum. rem constare infiniris Corpusculis, quorum ba- ses Tunt traperia D a PF, altitudines ab una Parte PC, QY, ab aItCrd F N, DK; qua Ut Calculo explicentur, Cxeteris, ut suPIa, aP- vellatis, dictisq. QL: l, _ RD: S, CTUNE primo omnia basI criangulari DHF directe intiltentia ob ipsius trianguli nllitatem CX lerim. 10 rejicienda; unde tantum pro calculo rectar rectangulo P Q D E insictens prisma 5ye+ 1ye QY GLKDII = 2 aequale parts insinitesimae trunci inferioris a plano relecti; quare Factis CT: b, ZS: h, QC: d, erit bd b d by cu 1 = ∞ , _ KD CCu 5 = ∞ + V; WdC hoc in casu constabit truncus omnibus, Z in d + :y in ye; ec suppolito h = b, hoc est ansu- lO RBV TerireCtO, COIPOHCTUE EPUHCUS OM= 2dye+ yye nibus, d +:y in ve, Tcu 2; iterumq. (1 tat C D leu d F y = Z, conctabie idem truncus omnibus 22e- dde 5. 5. Onde exposito aliocxlindrico, (cujus balis ejuldem latirudinis cum 1O) oblique secto, Factaq. dirisione per e, crictruncus in- Ferior primi cylindrici ad truncum inferiorem le cundi, ut omnia trapezia OOD X in primo