# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0098 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0098?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 76, page id 1032977698:0098 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=98 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000098.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.79 # 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. 76 analysis Infinitorum. CAP. I. IBrationem semper eandem, ut p adg; SIELN ipsi N Bnormatis, rectequae BL _ CM respeC tiraS CUEraStanganE; guaritE MN: F; darz sINE LB: f, LNB, GNT: Z, BN: y, IR: X, RNI: l. CurVa IB: C, CR: b, PS: n tum infinicesimae, BC: U, BD: 0, TIE: a FC: e, HIK: i, Crir Z: c:: y: 9, ITCM S: B: : 1. 0, unde o 2 f; dc hincW bZ. Jam ex curvarum relatione p: g:: X: c, unde 2 pfyc BZ. GuarC 4bZ=Is IAM VETO IUXLA PEX- 1be + l2e cedentem e: l:: t: Z + l, undei= ec tandem += lZ pfu = 9bb. + 2 Pfye 41 70. Sijam lBAN St quadrans circuli, a ratio Padgutratio radiir, ad peripheriae quadeanrem derit IHICE Onadratrix vererum, ac p ec y e r 2- qualia, item q = d ec h= f ob intinitam puncti lo dictanciam, unde d2. nea Peinvenietur= r ab. ex Ei quaeratur li- N 77. Sirelatio data Fucritp : g: : X : c. Sens ex anterioribus clucescet. Schol. FF huc quidem usque ca porssimum queesio ven Tilata Fuic, qua recta inquirebarur in daro puncto curvam daram tangens. Inde Verb: GF: Fig. X, ex data curra ADF. Proprierace, iptisque AQ, OL, seux d ydacis (da- Eoenim PunCtoD, _ haec daca unc) invenire necestarium Fuis, crianeuli rectilinci FOD proprietarem, auc racio- t2n- dCl