# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0864 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0864?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 434v, page id 00068196:0864 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 435r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=864 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000864.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 recognised, mean confidence 0.87 # 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. et series fieret progressionis Gormetriae, quod tamen non dudetur. Tentemus rem den sit B= A et C = Bg seu C = A9g. = Ag f: 1+ g seu gg = 2: 1+ g seu g9+ g = 2. Ergo 54 gg + g+ = 2+ = = 9: 4 seu 9 +. +382 seu 9= 1. verum ergo reperimus et series facta progressionis Geomelnae, c sed aequalitatis, qua nos non juvat poncudo A. A = f et B. C = g ponendo A: B = l et B: C = m. si t 4 2mm = l + 1. possumus ergo aliquid assumere amplius nempe m = l. fier 2U = l+ 1 sed ita cursus sit seu l - : l + C = 1+ 1, = 6 6 teu l = = (+3 = +1 vel = 1. sed non potest locum habere hic radis negativa. Necesse est autem si vatio inter l determinata invenienda est, ut et m. fiant assumantur aequales. Quid si sic A B = A + A. fiet C= _BC+ B sau C = (C) A+ Ah + (A + AE = A + A. 2: 1 + 1: A + 21. et fit sC- 1) AC + A + A(h. 1) AC + A + ( (A + A, ( ( SR R = A + 2A A se 2) A = A 4 AIE A + A- A A (C. 2B + A I ut B + B 2 + A. Bh + BC + B, = 2 A. B vidcamus an non remlicet facilius assequi aquationibus ordinariis hoc modo sit B 1F mA +n A+ etc 45+ YA + X N ry H ete