# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068200:0082 # Permalink to this reading: https://leibnizlegible.com/page/00068200:0082?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3) # Folio 40v, page id 00068200:0082 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 41r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=82 # Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000082.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine # Lines: 53 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. Hinc colligitur tres numeros progressionis authmelicae quadrato differentes non posse producere quadratum si medius per adifferentia o natitur dioidi potest. seu faequatio horc est impossibilis 29 - g. tg 19 + g aequ a ut quod utique patet, nec opus est mulla ratiolinatione eet m- 1 sequ mg -gr _ sit g aequ. p = p m vi m m ma n n fiet m multplicando per m. fiet num- n m+ 1 aequ a imposs M.g4G . 212 in in aequaque imposs. aequ an n 9+1 aequ a m. h9 +g aequag quae aequalio est impossibilis velac M = 1 na um nm+n ut aute loco dponendo ficat mo aequ. h. et habebiam h9 -9 hg s aequatio impossibilis, quia m - 1 secu uti ) Ergo ac est divisibilis per alios primos quam a, c. ∞ in et non habent communem divisorem sine m- qu m seu m - 9, et M9 non habent communem diusorem, quia met g anitum havent