# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0058 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0058?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 36, page id 1032977698:0058 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=58 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000058.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 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. Analyses Infinitorum. CaP. l. 23. Ouomodo etia FIZ. X. Cx dariS CUI- vacum tangentibus carum pexpendiculares inve. niantur, ec viceverta, abunde constat. Sigui- dem, rerentis 5. I, Cymbolis, SIFatOS: ob angulum ZD S rectum ZC CCuF: Y:: γ: l. D:: C D: CA 25. Sed ex quomodo apriori, non suppolita tan- sentis cognitione inveniantur, breviter octen- da. Ob angulum Z D srectum triangula DFI F. ec DOSTuntsimilia, adcogue D C: S:: D F7. ZFI: CcuV: J:: e: a. Dnde data rquatione CuErX. eaque reducca ad analogilmum uc in 5. 7, 2d inventionem normalium pro e iptum y, pro a ipsum lrevonendum esse clacumi ck, Videaneire de HIICC S. 7 CE8. 24. Fchactenus de ducendis tansentibus per- vendicularibulque, ex data curre aeguatione inter applicatam y ex interceptami x constituta. Sequentibus autem exemplis, quomodo ex da- ea relatione inter duas direrlarum currarum ap- plicatas, ac alterutriuis tansenri, alterius tan- eMs innotescat, exhibebimus. Obimonuero methodum generaliorem in his ec caeteris ferc cunctis hujus naturae problematis, in eo consi- EterC, UE FOC mumerO inveniantur aequationes. quorastumta fuerint intinitesime; ut, his per reductionem ejectis quatium fiur manite. RMMI. . OiIre