# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0019 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0019?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 10r, page id 00068198:0019 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=19 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000019.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 25 lines, status machine # Lines: 25 recognised, mean confidence 0.86 # 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. dy: dx = XX + gy,: aa. sec aadue = XXdy Lyydx seu yy = aady - xXdx,: ax seu Yy= aa dydx- Xxdxdx, dxdus adeoque y = faa dydx - x X dxdX): dx. adeoque du = dx d Y (...) ddx s(.... ): dxdx d+(....) = aa dyddx + acc exddus = 2XXdXddx - 2X dx 3 2 1). et adeo fipt aadus dix) + aa Lx ddus ( 2XX dx dar- 2X dY 2) aa dy Caxdax (. 2X X dxdx adX) (dx ax Yaadus dx = XX dx dx) sit aa dxddus - aa dyddx; dydus = 0 ret aadx:dus = ab. sed hoc non lcet si esset V(cia dy dx = XX dxdx) constans, fiet ly - - dax yidy seu dy: y = = ddx: dx seu logy = log(aa:dx). Ergo e y: de = aaux daidx. seu Ix: de = a. y. sed hoc ut novi ul de= yaxia. fretus yddx dxdu: a ut ante iaa hydx = X dedx etfir Faadu dax + aa dxddus - XXdxddx 2 dx Ex Cadme firi agnux. dxddus- dyddx: axdx 2X ax + 29dy: aa