# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0274 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0274?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 252, page id 1032977698:0274 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=274 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000274.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 recognised, mean confidence 0.83 # 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. 252 Analysis Infinitorum. C AP. V. Coroll. I. HIoc Caltem hinc nocum est, data quariscurra AFL aliam AD E inveniri posse. cui recta aequalis dari potest. Sit enim in curra AFI applicata FG: Z, d Tubtansens N G: k, ipla GT normalem curVX FY detiniens: l, intercepea AC: f, inAnire- CIIA FK = GP: 0, KI: 8, FI: 1 5 exit ob triansulorum FCB Cx F FI similitudinem, FI: F F:: C B: C F, TCU N: B + 5 + W: : n: 5 = a + 19 unde, rejectis rejiciendis per lemm. 10. erit 5 pe B +5 . Scd _ TC: 6F:: TC: CB, hoc cA l. 2:: 2. n 3 Unde 1 151 = B, (NaM TF, B: FG, l:: FB, I: GF: 4,) unde denuo = bZ1 + 52+ B5 B0 2 Cnam TF: EG:: FI: F K,) quare, s jam alia possit inve mI aequatio intiniresimaS, i ec o involvens, utraque earum elideretur, hunc intinem, ap. Plicata GT in GF, _ VB in VM; doncc per puncta L. ec M deleribi poNIEnOr2 CUEVZ EUEIUM LR = GV = 0, e MR = 1. 6 Crit 03 jam ex pastum notis est XC: C L:: L R: RM; seu 5::: 0: 1 = 0, unde 10 = 5i 50; Gua X9ua eio ealdem cum superiori intinicesimaS continet, Tuare