# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0487 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0487?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 246r, page id 00068196:0487 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=487 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000487.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.78 # 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. Z Ergo Xlogx= o a. logu seu (+) Sax: x = a sag: y E Zdx: X + dZ Sax: X = ady: y et, Zddx: X + dxdze. X = Z x: a ddyus : y - a dy: gy eR Sax: fiet: it per 4 et 5 collendo dZddx: X +Fdxdz : x = Z dx dz: xx + adyddz: y - Zdxddz: X e d ed = a dque ady: y - a dy dz: yy si felciamus ddzue0 ex aeq. 5 fieret. e constat genecalter xaddys: y - acu. y Unde sequitur posita du constante fore dd Z. log. X = Z ddX 1x + 2 dx d Z - X X7ddx - 2Xlxaz - X sin sin adg:y faciamus constantem = ded C XX fiet: Xde (1 X7 dx adzue + Z aX dZ = XZ dq ddx = 2 X dx czue sed t si faciamus, ut dixi dam o fit d posito 2 a C 2y fit a dd log: y = dd log. X ee posita XV. = y XZ ddx - 2X dXdZ - X Z dx,: X Adeou absolite dd log. X. = XZ ddx - 2X dX dz - xZ aX, : aX a 12 posita dZ constante A (+