# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0039 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0039?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 20r, page id 00068198:0039 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=39 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000039.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. differentiali si in aequalione aliqua affectiones literae cujusdam ubuque ad eundem assurgant gradum, videtur via solutiomi palere, ut si sit Fovdxi tagudui aaxa a dydy-0 D Si es X o ubi in omnibus y suis affectionibus assurgit ad eundem aC posito dcd ele confrantem et esi et ubique destruetur y, habebiturqe valo colutio per quadraturas. Nam ut fyydxdx + g. yy dxdco + ayy deodeo 10 atque adeo A fdxdx + odx dco + adeo deo = ubi ob f et g datas ex X ut suppono habet a de = 1B = log y per quadraturas idem est etsi descenderetur ad daque, nam daque = _ dyo deo: a = y dco do: aa et e 2 et du d’y = y dco3: a. sit aequatio dy. dx = XX L peuxg, fiet si sit x faciamo dx = ydg 4 Zdu, et ita equabuntur tradus te emul gradus ipsius g, ut ipsius sit. ayi = XX F yyaa, fiet non defcendasotq ad ddus, non dy: dx = XXF Gu, aa jam a = ydodus fiet dy: dx = px + gy,: yydeodeo: dydus + en agd