# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068104:0013 # Permalink to this reading: https://leibnizlegible.com/page/00068104:0013?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 9 # Folio 7r, page id 00068104:0013 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 6v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068104&page=13 # Source image: https://digitale-sammlungen.gwlb.de/content/00068104/jpgs/default/00000013.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 73 lines, status machine # Lines: 73 recognised, mean confidence 0.71 # 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. s Ergo ssseu = X+ szax - - = Z- ext 1X + X C sex p sgd 1∞X d X dx en lx + ZdX) + ax (= dZ + X AX =0 est 1- subest aliquis error axs 1-X in calculo, aliequi res essit succederet. Hinc ergo quia aliunde habentur Z et (2 (set. V xdx. Utique habemus absolute et patel (. seu (ZdX seu X+ L = 1-XC du non pt. c Z X i 7 - 1+ =X + X et X L 1+ C(+ +X + L X et quod Errr potius C, dque = dx + Zdx vel C c Z= LX + X etc + sset Ex G fit differentraliter dz = dX 1tXIX etC +aO du +x en i d Ergo L dx 4+ O = X + (7dx (posito e multiplicari perde puro Unde C) = X + Sque dx - (. 1 sed rursus C y - e 1g et productum summari) +x iXdx per S C utante ergo aequanto fit Z = X + sudx seu dZ = dx + Zdx Urqu veram manet Sod seu l e en zdxdxaxax et = 2 M -) posito X = C aet 1t p 12) seu = hat. de X = 10g de 1X Ax s XLog. de 14Z, Ergo 1+Z= num de X. ergo Z = n. X - 1 eu Zdxdxdo et = Z - dz. seu )axdx eu = num. de X SL e . 1- +x = l. dZ 17Z