# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0176 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0176?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 154, page id 1032977698:0176 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=176 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000176.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine # Lines: 33 recognised, mean confidence 0.91 # 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. 254 Analysis Insinitorum. aequetur inventae subtansenti: OL CAP. II. 5 Guamo. brem quadrilincum, 30, 15, 17, V = omnia mo; demonstratio pater, currarumque omnium relationes ex curra AP F propriecate Cognita manifestx Tunt. 29. Quodhic circa infinicesimas BY, i, e RV, o Praeltitum est, eodem modo circa extera. verbioc: W ec n (eu D F ec B C obtinet; Factisque 6, C, 87,9, = h: erir spatium ML N B, omnia ha: XW X F = omnia hu; sed dehis in specie alibi latius; cum punctum N, determinatum per in- TEFHECTIONCM CUEVA A K N ex tangentis B F, ip Cam tangentem dirimat in duas partes; quarum prior NIF XQUATUE CUEVA AD F = c, undc NB = 5 c: luftecerit hic modum indicasse, quo innumeri generis curvilinea transmutantur. 30. Ouomodo vero hinc multa curvilineo. rum spatia ad nocam redigantur menturam, ex methodo 5. 17. adhibica innorelcet. Facta enim qualibet hypochesi he= zi, erit Factâ 93 = B ec T, 12, = 2, Spatium AZ P = OmniaBC, d B F 22, A = Omnia Z i: Tumtaque had curvilincum quadrabile, erit ec ipla Z ad currilincum norum. Duopacto autem ex data hinveniatur Z, (c- quentia manifectant. Cum hic intinitelima e ec Cinc adhibita, notum est eas constituere lubran- ventis 2 incrementum, quare describatur alia curra A46, in qua lemper 4 = Z9=. 1, exit