# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0074 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0074?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 37v, page id 00068196:0074 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=74 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000074.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 24 lines, status machine # Lines: 24 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. sotx voddus + Ndus +rZy 10 dx + 119. + 12 dy t 13 ddus =0 Data. Asumatur quaesita 20 dx +219 + 22 dus =0 et disterentiando fiet d20 d F 9d2H + 21 dy + 22 ddy 20 1d22 dy + B d20 dx + 13d21, y + 13. 2 dyast 1322ddy 2 +13d22 dyex = 10. 22 dx dx - 11. 12 ydxlx - 1. 22dy l - 13. 22ddy) (1+) Ergo ex 1 et 3 fiat quae deberet esse identica sed ut hor praestetur redibit aequatio par quaesitae quod si hc inaeq. 4 rursus tollaruns y ope aeq. =2. fiet E(+ 13. 21 d20 13 d21) 20dx = 13 d217 22 dy = 13, 21. 21 dy = 0 - 10. 21. 22 + 11. 225 + 11. 22 5 + 13. 21d2 12. 21. 22 Haec aequalio ut coincidentietur, terminus quidem absolutus facile tolletur habetur per 20, sed terminus ay minus faule. dividamo ea aeque per 21. 22 fial - 13 d21 H 11. 22 + 13. 21 + 13 d22 12 =s e 22 22 seu 13 dlog22 + 11. 22 + 13, 22 =0 ita inspecre fautum sunt duae literae quantitates; prorsus ut paulo ante