# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068076:0005 # Permalink to this reading: https://leibnizlegible.com/page/00068076:0005?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 4 # Folio 3r, page id 00068076:0005 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068076&page=5 # Source image: https://digitale-sammlungen.gwlb.de/content/00068076/jpgs/default/00000005.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.77 # 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. pavuamum VAx + dus + Ydv + dco = e = 2 dx + du + Lv + c + 2 Ax + d7 dvada = C2 et 14 a 4 e2e xadi + dr + aes dx + dy dp+ de + = 2, XX. dus a (dx 8y) de da)+ dudu a dus dest duded L 2 (a dx du rldes lys dv +y dco u Vatb CO + D = C. 2 - 2C0- 208 + O7+ ) + + 0D = 40 seu e = 2CO + ODB) ∞- p = 0 odx + dy fidnaded e do et Sex+ dy = esdv+ dc + (Sav lade am an 2 dx + dus = d_ + 2d co + co. et dy = dx - c5 : 2c0 et dx = si cd set dya et c = 2l et dx = El m. fiet pu dy = Allmm- 4+ll : 4l. seu du = Cmin = l. Ergo 4 dx + du = (DU mm + l m = 2Ilmno + 14 seu seu suptum dx + du = ImmLl a Vga mnioe quod si jam faciamus lmm+ l = el. fiet M = de- 1 cujus summa datur Ergo posito l esse infinite parvum n ordinariam fiet se 2 fla et flne y = (Mm - 1l = (C 2l = 2 ml = 2(+e il. Si Si vero eta faciarum lum + lnn = enn existente n quasi unitate intinitesima fit 1= enn: nim+nn et dandae sunt hae summae ( ennmm - ennt nimtnu et ennm: mn +nn =X