# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068199:0005 # Permalink to this reading: https://leibnizlegible.com/page/00068199:0005?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c # Folio 3r, page id 00068199:0005 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 2v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=5 # Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000005.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 92 lines, status machine # Lines: 92 recognised, mean confidence 0.72 # 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 (X d(dy: dx)) = xdyi dx - y sit Y = (dx siab + CX + Xx u dulis Xdx, ab + ZE = V(aabx + a X3) l xf, it (ab +CX +XX) - (ax rabrexrx Y(nabxtax) Caabxdx oabxtax) I dy: dx = ta +ab) ad) = dx Cdbtx X Y(aabxtax - (AX H (aabX rebul ax +b X Axib bix (X+ b, d (dy: dx)) = x+ b, dy: dx ddyue = (Xdx dx, + xobiqu fiat dy = Xdx dxdx d X+b biX xdx + dxdx (dx = Xdxdx + Xrbs sit qua (xrb ide dx + dx (dx = X dx (dx = X dX sdx- et siit ddu= ex de X+b ∞ 2 XX bIX X btX X+b. 4X Xax (AY X1b. X t ab u) dx dx sint xprogusi. Geom. in numerius, trunt differentiae. Eimul sd progrest Authu. X+b Rrb Axdx sax ex dx (dx quae aequatio est identica (ax ed bEx xxE (d) rdu= a a Dazue sdZ v(I, t ab) = (dyt (a2 Etab (1Z ((az. B7 rab) lX dx (dx + (ax = a Vix X HX b+X (Xdx (de dx dx Y (aabX+ aex) du = dus (ax, XL + ab) qtzue: 21a7 x delodx) =i) C dZ d day= dda s 1 = Sxd bK xddus - X Y(aa bX + ax aabx 2ab. +3X. = dx sit aK ). 2 selx Vsaabx tax ex a Laabx + ax) a - sa bx + X fdx b sdue abX + ax 3dx X+b X+ bd X X etfiet et differentia postans sit e, fiet dx e + Sdx a+ A reno dx + dx X Xb sta sois X ex + bdx = X X dx - b ux Ne abre 1. 1X 2do v ((xdx Cax