# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0161 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0161?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 139, page id 1032977698:0161 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=161 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000161.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine # Lines: 32 recognised, mean confidence 0.86 # 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. C AP. II. Analysis Insinitorum. 13G mis CMCESCE L y + FB = rs; unde altera quoque ex ip(SZ Velh, PEXter ipLamf, adhuc arbitrio relinquiem. 18. Hoc addam, licet pexecedentis tantura Ec contectarium, in hypoches prima he == Z a FIAFZ = y exit B = l; adeoque le= y a; d omnia l0 Ceu sparium AOS (cujus applicara C semdee aegnalis est subnormali respectivae DR) EquatuE FO K sen lemi quadrato ipsiUS FO. Cum enim perpetuo sit IO = In erie Ln ad criansulum ilolceles tum ex Cx. 5. 13 nO- cum esse omnia y a = 2: Coroll L. Flinc opulenta rursus menturabilium Cpatiorum copia, ec ex quavis cuera AD F in finiti generis; potita enim quacunque subnor- mali R in _ C, Ha(CCTUE AO S SPDTIU mentura CapaX; cujus Cirurtus Tubnormalis in- quiratue, aliud rurtus spacium se sic sine Ane, enascentur ex una cademque curvd AD F CuE- vilinea maonicudinem cogniram habentia, quod ex prxcedenti Catis manifectum eAt. l Coroll. 1I. Ouin _ haeC, Peaeter alias metho- dos, currarum generalem absolveret quadea- turam: ( solvi posset problema 5. 95 Cap. L. propotirim; hoc est sI, data qualibee aC per Aseux exprCCa, inveniri PONCECUEVE ADF. cujus subnormalis R ip(I Q C Pervetuo ac rel- pectin