# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0149 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0149?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 127, page id 1032977698:0149 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=149 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000149.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 recognised, mean confidence 0.88 # 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. CAP. II. Analysis Infinitorum. quod laboremus, modo exponentes de in- Einicesimae legirimis Cuis signis aHfecra adhibeans TUE. Demonstrationem omitro; ex prxecedentibus non paueis in locis, autnumerorum pocestaces exprimentum vice se. neraliora symibola substiruendo, levinesorio perendam. AB. In exemplum dedimus terminum pluri- bus indeterminatis constantem; quae _ unica tantum CiC, juxta haric unicam terminum consi- derandum eNe quilibet ridet, (Crrx 3 ad intini- celimasredace dabitrrx 3 + 3rY X X e. Consererhoc ad pleniorem 5. 33, methodique tansen- tium inibieradicees demonstrarionem; de ad legicimim ex cerminis infnicelimalibus ad e0s, unde orrum duxerunt, re- frectionem; quam, uc hujus scholii conrersum, hinc coB nitam supponimus, in quancum corum, quae modo eradi. Simus, nacura paritur. v7 24. Sic Fic. LALIV, currilincum AD PO idem ac S. II, cademque Cymbola; intelligantur. que subtangentes ZO in MD, VOin L E eC. perpetuo applicari servato ad ipsam AO Paralle LIEmO: erit iuxta S. TY. OAenlatrapezium NDFL Fa; adeoque trilincum L AF = Omniat a trilinco AFO seu omnibus re, ex cadem 5. 1Y. Corolt. Onde tactisTML = DQ, ZV = PF EcC. AOnCCENAT2 CIECUNVA L M A, erit, Vocata AT: Z, CUIM RIE M Z = y, relatIO CUTVE LM A Ex relatIOnC CUEVX AD F cosMIta; datoque Ip2- tioAD ∞ AID 02 dacur spacium Z M A =i rectangulo Dacii AD duplO; eE CONETA 15. Sit