# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0165 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0165?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 143, page id 1032977698:0165 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=165 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000165.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 recognised, mean confidence 0.85 # 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. vos designari; cum ex dignitates quastibet agore zarorum serierum auctarum aur multatarum, per srmbolum Z eHerri; notius est quam uc hic Octendi mereatAF. Coroll. IV. Oritur hinc; _ ex 5. Praced: mulcitaria methodus, qua ex dato curvilinco AQC, in terminis quibuscunque alsebraicis. Iplius applicatx O C 2d interceptam AQrcla- eio exhibetur. Hac inter sequentia ex Fundamen- tomagis generali deducemus. 20. His annectere liceat facilimam currili- neorum quorumcurque eransmutstionem, sub. sractionem, sddicionem et c. Cx 5. 6, 7, 8, 9. di- recte mananCeS. Sic in exemplum (relunitis s. modo citatorum Eymbolis 2C Fig. X X VYI.) Z + B = Y. EUPPOI2- X 2 CIT Z = S ZFF = X~ adCINOide; B = V 2YX XV ad semicircllum correspondenrem; Aet 2YX p = Y ZTX = XX, TAML AUTCM OIMNIL p C XQLANEUE Orinibus he quater sumtis, Teu QuaTHOE TeI circulis, Cx 5. 16. COr: III. X juxta hypottie: sin omnib. Bc + Z0 seu spatio infinito Ciroidali cum semicirculo; quare Cissoidale spatium se micirculirriplum cst. Coroll. Porery supponi requalis quorlibet ap- plicatis L +s + f F g ecc. quibuslibersignis sRectis; Wide +d