# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068197:0105 # Permalink to this reading: https://leibnizlegible.com/page/00068197:0105?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a # Folio 53r, page id 00068197:0105 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=105 # Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000105.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine # Lines: 32 recognised, mean confidence 0.84 # 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. yu = X + bxX + CX + e. fiat dy = dx Y CX+ bXXF CX + C) fiat y = v dydy = dxdx, X EbXKlex C re Xtb, XtC, Xte sitjus = d0 (Xrb, X1C) firt do do = x te siellet dy = de, X +b, XtC foret doly = do + c3dx dy ddus = . dxdx d (X + bXX L CXFC) en du = dxax d (x + bxX + Cx +C): (Xbextext es dy = dydu = dxdx X + ab aab fit 2dy ditus = dxdx XXdx et 2ddy = dxdx XX dx, dx ()x + aab) seu 2ddy = dxtx XX _ YX dydu = dxdx, X + cub dy = dx Y(X + a b) 2 dy ddu = dxdx, X dx et 2 ddy - clX dx X -dx dx X (X ta b) (x + ab) X tab sil X = aD fiet , dx x = ado et fiet 2ddus = dx, ado (4a V + ab),: 4av + ab et 2 dy = dx HcB + aeb) = dx 25 V4av + 3b dydu = C 2dyddus = d0 2ddy = dC: sC datur nonumertum ipsius ipsorm daus ex ydy + V sit Dantur Et dus datur momentum ly ex axe dy = ) Y Y K + ab) datur ipso dus homent ex axe, nam datur fydu. Datur et eori nomen huc ex vertice, non datur Xdx Y( + a6) iromente Ergodatur ya (Xdo elta