# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068207:0002 # Permalink to this reading: https://leibnizlegible.com/page/00068207:0002?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5 # Folio 3v, page id 00068207:0002 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 4r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068207&page=2 # Source image: https://digitale-sammlungen.gwlb.de/content/00068207/jpgs/default/00000002.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine # Lines: 47 recognised, mean confidence 0.87 # 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. X: y me signifie avoid la diference de X comme dx ou Même la differens de la difference comme dax. Et comme les puissances sont reciproces aux racines, de même les differenes sont resiproques aux sommes. Car puissance quarree de L. Itous les X V2 = 2 je même somme des ldifferences de xest X dx = X ) je remarque aussi que Trouver efeceme les tangentes se rapporte aux differences et trouver les quadratures se rapporte aux sommes. Cela posé vieas a non Algorithime particulier d gul Aodition, e dxtus = dx + dy cest adir la difference de Xy esi egale a la differcale d’x, plus la difference de di. de meme d X. y = du = dy soubstractivn Mais la aulbiplication a unple peu plas de mystere, A V. d. Xy L e xdy +ydx. Ac à dire soit v= xy. et du sera = Xdy 4y dx. même d xyZ = Xy dZ + XZ dy + yzax. Svision d X: y = ydx = xdys,: gy (onbien acines puissances tu d, X. = eo X par exemple d, X = 3, X de Racines d d VX = dX: eV X dx est de y9. par exemple =dx: 3sx seu dx: 3xx seu dx 3VX Caintenant pour en monstres quelque usage ydx - xdus