# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068267:0013 # Permalink to this reading: https://leibnizlegible.com/page/00068267:0013?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 18 # Folio 7r, page id 00068267:0013 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068267&page=13 # Source image: https://digitale-sammlungen.gwlb.de/content/00068267/jpgs/default/00000013.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 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. si recta G B secettur in 7 in ratione data GZ ad ZB sumtisa in recta y ∞d partibus GI. , 13 quetaanq quarum ultima site ea incdat in 32. Quotsamque quarum ultimum punctu in incidat inp tunc continua la progress. erunt totidem in recta ZB nempe 25 Z6 e e one 7 B qua quarum altimum punctum incidet in B. seu quod in eodem redit in secie progressio inqua nis arithmeticae geometricae dimidia nucfiludoniterminorum prior est ad posteriorem in eadem progressione nopmas terurus adec ostericu Geonetrua. sit a db. Oc d DeF progressionis Geometricae, dico esse a +b + C ad ∞d + e+ f ut a ad d est enim multitudo terminorum idem quod exugnens seu logarithmu qua existente aquali Est enim arb quia propo si proportionalibus, addas proportionalia i fiunt proportionalia, ergo si a: b: d: e. erit arebe a:a:: _ b: c. ergo atbi die ergo a+b: a+ e:: a + b