# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068199:0351 # Permalink to this reading: https://leibnizlegible.com/page/00068199:0351?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c # Folio 176r, page id 00068199:0351 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=351 # Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000351.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine # Lines: 30 recognised, mean confidence 0.94 # 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. sit s ex aequatio compenfiat differentialis data fint differentio differsentietur rursus, et ita ut ddque non assurgat ulbra gradum simplicem quod ad destruendam ady semper fieri potest, deinde forinula quae in adque ducitur ponatur aqualis nihlo, quod licet ea formula diferenticlis differentio quia quoties est quanititas differenti alis, habebimus duas aequationes unum uss in quas divulsa est in effectu differentio- differentialis reperta quarum quaelibet continet dax harum oste tollendo adque habebimus aequationem in qua solum _yx, a, d dx, dy, qualis est data, ergo tolli possent day: dx quod est abscurdum talis ergo suppositio non procedit vigeataque an liceat assumere formulam per quam sium in aquatione differentio. differentiali legrente ipsa y quae assumere formulam pihilo aequalem, ut simul tollatur X et a restarent olum dus ax ddy dax quod aequatio posset solvi du: dx = ya + XX, Keye e xdyqus xxdu =aeudy + xX ax XX dy: dx = Xx = ay seu 2X dy + XX dx ddus - Xx dy ddx 2dX = ad quid si fiat 2Xdu -2xdx-adue =o et deadus - dydax = 0 sed sed restaret addx: dxdx possunt semper Folli duo ut y: aet dy:de Citem, posset prius non licet. tolli dus et ax et restarent X:a, y: a, ady; dax sed hoc parum ractabile