# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0030 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0030?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 15v, page id 00068196:0030 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=30 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000030.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 23 lines, status machine # Lines: 23 recognised, mean confidence 0.84 # 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. solvi potest aequatio am dx + an dy + py dx - 1 =0 ut constat, ergo et ejus diferentuntio, quae est aamax tadndus +y lx dp + an dau = 2 =0 ahaec conferatur alteri 0=3= bexdx tc dx dy + fy dxdx acgdius + pdx dy fiat m- sbdxia n = g p = sfax: a C dx adg + pax. Ham aeglationem videamus an praestare liceat si esset aequatio (b) K dxdx + (C)K dxdy + (f) Ky dulx: a + a(9) Kddu = 5 = 0 et fiet m = sibIKex: a n = (9) K: a p = s(fK dx: a (C)K dx = ( (9) dX + K a6) + sfK dn: a sit jam equalio data AAxdx + 12Ad Xdv + 12 v axax + 4 aa d lx =0 sit vB 11. 9y +h. Errgo ex L (ly) ∞9. 7. hiit I1a lpdx +1Ca 12a L Xdh. + 12Xl axdy + 12l ydx + igaldius Z 0 12 a dx dh Bh dx dx 2. 1a dldus 13(l. a) Vaxax telita igaa ddh.) est ompendio (dx 13ay dil (b(dxdx L (C) dxdy + (f) 9 dxdx: a tag dy o ut aeq. 5 dalys d (l dy + yd1) ladus + Ealays 4yda Ergo per aeq. b fit (VlF2. 1 ad) K dx = 144 ld, dk f 14 ad K + al k d14 fiat h=0 + (112 d l B G(k 2 a) 13 (la) e il 13a ddl5