# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068199:0001 # Permalink to this reading: https://leibnizlegible.com/page/00068199:0001?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c # Folio 1r, page id 00068199:0001 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=1 # Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000001.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine # Lines: 39 recognised, mean confidence 0.79 # 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. dy: d = XX +yy, :aa sit dy: dx = Z: a et fiet aZ = Xx+ gy et adze = 2X dx + 2ydy d dx = X X + gra = Z: a et dy: a = ax + du ea (1) dy: dx = X +. .scet sit ay: dx = Z. a et ex aq. 1. Lie 3 X + fy et (4) dz: a = dxl + fdy et pro du peredo ex aeyu ponendo zaxia elt fiet dz: a = dx R X + fZdx: a seu 1Z. a X ax + dy. dx X + du idx = X 1 L 2 dx fit 7 p+V unde du = dp 2x + dudus est autem dy. fl X. ) = eu = Zdx, et fiet hinc dy = dl p ax + d V Z dx t du sit dz dx. Ap = , fiet Gemeraliter ergo si sit du: dx = dp, pty, haetur dZ :) 1+7 = dx solutio tacu dmg la n st posito dari pex x habetur solulio. Nam fiat lyido 7 = dp de + dy. Et pro du ponendo tvalorem y dp lx is habema firt dZ = ap dx + Z p. X. Ergo sit ap dx = d: 1+Z seu p = SidZ: 1+Z. Ly sed puto habemus jam aliquid generatiis ita c