# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0130 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0130?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 108, page id 1032977698:0130 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=130 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000130.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 recognised, mean confidence 0.84 # 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. 108 Analysis Insinitorum. C AP. L. 200. Jam cum juxta 5. 23. in omnibus curvis AC yaLC, AAEI Z; DOCIEIS h, K, Z, PFO quantita cibus vel ex arbitrio, vel ex prosressu calculi de terminandis: erit e=ya adeoque e Ya 2. cum assumta h proquorlibee cerminis simplici- bus x concinencibus, sirnoqueradicali cujus- libet poceltatis q copulatis, qui ab alsmmerria liberati lictera e delisnentur, crie B =: g s h2=E; quae aequotio ad intinitelimas redacta juxta methodos Cuperiores, exit gh4 1i- Va ed X e ponendo e bZ Hiet tandem, g h 22 X (A5) kya. dux ultima vocetur aequatio reducen- da; cujus reductio porsibilis existie, si in altera parre excepris dererminatis, nulla indetermina- tanisi h; in altera vero nulla nili p reperirecur suxca prxecedentem; quor aurem modishioc cM- ei pollie sequentia consectaria manifectabunt. DuOTLIBET ACTELHIIATA dENOTEIEUII DCEm, de CI. Cula PeEY. Coroll. I. Sit B4 =. m X + m, unde (A~ in mX; _C k r, erit aequatio reducenda qh42 1 mrya; quae reducibilis ett, I. A2 per quotli- bet terminos, vel h contimences, vel deter. minatos, exprimatur. II. Si Z quorlibec Ter- minos simplices x continentes, communi vincu-