# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068010:0013 # Permalink to this reading: https://leibnizlegible.com/page/00068010:0013?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13 # Folio 7r, page id 00068010:0013 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068010&page=13 # Source image: https://digitale-sammlungen.gwlb.de/content/00068010/jpgs/default/00000013.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 39 lines, status machine # Lines: 39 recognised, mean confidence 0.92 # 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. ncempositione terminorum Analyncorum dice quod + in - ductum facit punctum. designat signum quaesitum. Esto + d = e ducendum in + 6 Sumpto + X ∞ + d - e ergo + X + e ∞ + d et +X6 ∞ + d6. D eb vel + 26 = db ∞ . eb Sed cum +X + e sit ∞ + d + 26 + eb ∞ + d6: ergo in superior aequatione Substituto valore = db nempe = xb = eb per hanc uttincum aequationem, fiet + 26 = 26 - eb ∞. eb quae reducitur ad eb ∞. eb ieb habebit igitur signum = quod erat demonstrandum. 2. in - facit + Esto + d - e ducendum in + c = b, quod erit per praecedentem + dc -d6 = ec. cb sumpto + V ∞ +d = e et + Z ∞ + C = b erit etiam L V + e ∞ +d, et -+ X + 6 ∞ + C et ad inuicem ductis + VX ∞ + dc -d6 - ec. eb et + vX + Vb + ex + eb ∞ + dc Et locis + V et + X in hac ultima aequatione, ubi simul non coniunguntur. Substitutis ipsarum valoribus erit + VX + 6d - be. + ec = eb + eb ∞ + dc quae reducitur ad + ~X ∞ + dc = 6d + be = ec. quamobrem +dc - 6d + be = ec ∞ + dc - db - ec . eb + be ∞. eb unde manifestum est et ablatis eb habere signum quod erac demonstrandum ex supponitur in demonstraone + xb -db esse produdum X -d et b g’i b in = d erit - db, qd demonstrani debuit non susponi supporatur etiam =e infb. ette = eb, ad est quasitum aqualibus remanebit.