# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0155 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0155?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 133, page id 1032977698:0155 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=155 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000155.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.76 # 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 Infinitorum. CxiELF = pr + 91. = q 2; JaM VerOLE: ELi: HL: KI7= 5 OrXtGYX- X X JQIIA AUTCMI PONITAST = is _SM: e est KV: X L:: SL: SM. Sive S: X:: I: C, CFIE sEMIPEE X Y = 5C, X pOSIIO R Y =Sad CUEVaI ORO, SpaT. AOO sCU OMIM. X 1, PrXc +) FXC- XXC (BAC. ORO TCUOMN. SC =: 4y y HiOc cs. Facto semicirculo d, (quia Per COrOII: X X PEXC. OMMIA; e = 2 d, eFOMIB. y C 3a) Omniaseu v. qd= complem. Cycloidis A DO. Ouod ( p = g POHaTUI, CyclOIS erit primaria, ac compl: AOO aequale semicircu 10 d. sed et cum hOC Ca(U HL S= 2r X = X X = 9; CX proprietate semicirenti, paFeT R F nC BF seMPCF XGVarI _C QRO esse semicireulum; adeoque semper essese =) e = Xi; Teu SpaT. A KL. COncinUO ~ JuarI SPAT. DR L Ieu ABF. Corol. V. Sitjam AI.O alterius natura Crclois FIG. XXXVTTF. CujuS XquatiO (rCteNTIS PEF Om mia superioribus (ybolis) p: g:: F. L: 21C. A1B:: Z: c. Onde q2 PC; dC IUXtA TAHGENEIUL A1 per methodum LF = pr, aC XV (CUS =: gy; GuAEC omnia sC = OMM. X i = COMP: ∞O A= 278 9i Mod s subtrahatur ex rectangulo A60 20115 seu a (Posico k aquali semiveripheria ABCC) lC1.