# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0239 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0239?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 217, page id 1032977698:0239 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=239 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000239.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine # Lines: 39 recognised, mean confidence 0.77 # 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. BCt sb Ii5 N est is CAP. III. Analysis Infinitorum. c r= B, CxIt iuXta 5. 38. t: f:: B: 9. X quoque p: l:: s: n; unde Colidorum quorumris annula- Pn rium ratio f: l:: B: b+ EY 5.. b: 5 3 TEUNCO. rum autemeatio t: p: : g: n:: b: 5: GuX Fusius demonstrata apud alios videanEUE. 5. 40. RCaSUMEO (ChCMatE ZL. II. ac Cym- bolis, tum 5. 24. Tum S. 37. C. ap. II. adhibitis, Oportet Tolidum rotundum verb. Er. ex currili- neo AZ P CirCa A P FOtatO genItI CFOE- mare, quod aequale est, solido cuicunque ro- tundo per quamlibet expressionem analyrica desienato. Casus, ubi Colidum datum mediantibusrec tis, ad currilincum cognitum A P F Pertinen- tibus, explicatur. Sit ergo describendum, Polito 43 h, Solidum ex A P Z CirCa cBh0 AP FOtatO (seU, Iuxta S. 18. Omnia 2r aequale cono, ex triansulo ZD _ circa ZP1O. tato, Peu 6r 5 erit ex 5. 13. Cap. TI. Omnia BBC 2r Omnib. cy yC +Cyy1 2c+y a Peu ter minis iplius 2r infinitesim alibus, adeoque. dirisione facta per 2r eric 3hhe = yye + gy1 + 2 +γ43