# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068043:0034 # Permalink to this reading: https://leibnizlegible.com/page/00068043:0034?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 25 # Folio 17v, page id 00068043:0034 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 18r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068043&page=34 # Source image: https://digitale-sammlungen.gwlb.de/content/00068043/jpgs/default/00000034.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.90 # 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. ejum jam video impossibile esse ut res loc modo generaliter absolvatur, ai nam alcoqui omnes luius imidi aequationes differentiales possent reduci ad curvam bidinariam. Sid ergo potius rem optime fieri posse arbitior sint Resumtis aequationibus 1. 2. 3. t ex aequ. 3. tollend omnes quibas termini in quibus V assuigit ultra av, nempe V dx vdo. ar exdx. vxdo. vdv. vxdv. vdv. scilicet etiam termini sex. Et semper tot tolcendi erunt termini, quod semadum vax. exdx. vV ax. methodum praecedentem, nam termini vdx. exlx vedx. indem et erant qui ante. Et iidem Et vdv. exdo. vndu succedunt Adv. exdo xxdr tialis Euc ad dici possit nempe BxV + V vv + B x v + AxV + V quo cujus differentialis est: βxdv + βvdx + vdo +OXdot Dxvx+ QV Unde fiet B aequ- c. D aeqo - f +Ex V +Ox +2XV + Y rursus ) aequ - = n tantum ergo in data aequatione data efficiendum Quod facile est Cno video nec hoc modo rem procedere nisc quiL D debet addi ab utraque parte, hinc non potest v haberi valor ipsius do per sole, X et ex nam manet v ab altera parte ergo non omnis y sublata. est, ut sit 9aequ. 29. nam Majoris brevitatis causa tentemus rem in aequ. 1. pro y substituendo v. fit +BD +2DXV +V A4) aequ. B 2 (2 aequ. -51 ssumamus jam formulam, in qua reperitur v, sita ut etus differer pro tollendis prioubus +,XV do + 3 MV do sit aequatuo 1. data Daque a + bX, cb A aequ -g.