# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1032977698:0030 # Permalink to this reading: https://leibnizlegible.com/page/1032977698:0030?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 8, page id 1032977698:0030 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=30 # Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000030.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 recognised, mean confidence 0.83 # 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. E F II VI A Y A. Demonstr. SIE A F: Y, _E TUBTenCa A C: u M quae, juxta Cemma 20. qualibet data minor est. cum arcus A C. talis sic ex hypothelt; sic item XIG: in juxta LCMM. 2T. omni data minoe: tandem differentia reCTarUM AK eC A C seu AK = AC dicatur x; erit ex pracedentim. in: x, unde x seu mihilo aquatuF. b m rmmo PeE LCm. 20. aut 14, 24. Tlinc, in aegumentatione cirea quantita tes omni dara minores, Tubrenta A C XguatUE cangenti AK; cum, juXTa PEaCedenTem, WUIIa suc carum differentia. 25. TUM _E FANZONS AK, SUBFeNSa AC, dC Cuera AC inter se aequales TunE. Cum enim CuErA AC SIE MajOE CUBFeNSa AC, ec minor tangenti AR, uti omnibusno- cum, erit differentia Cuerula AC e alteru. trius rectae AI vel AC, non majoi quam differentia ReCFATUI AI XC AC, qua juxta Lemm. 23, nulIla cA. 26. AdeOgue OmNIS CLEVA AC D CXPCCTU- lis quaris data minoribus, quae tanquam tan- TentES AIE, aut Tubrenlx AC, considecari pOF- Tune, Constat. 27. Inde pariter clarum est, si calculum