# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068104:0012 # Permalink to this reading: https://leibnizlegible.com/page/00068104:0012?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 9 # Folio 6v, page id 00068104:0012 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 7r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068104&page=12 # Source image: https://digitale-sammlungen.gwlb.de/content/00068104/jpgs/default/00000012.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 75 lines, status machine # Lines: 75 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. jam si rursusin y= Vax dx da- LXX - X substitatur aclor ipsius y Deo seu sy ex locogs, fiet v e un dxamax ax - sax x ax- Eb ay se et ydx Ergo Y+ Ergo substituendo a adeoque fit e e A2) Glasyxa Sydx Ergo y y (ydx - ei Ssyandx-seaxsex exZ gaxa,. ubi rursus substituendo valoremqe D= Ssydx -1 ax dx(syax dx dx saxdx = x - seu y- aS ydx dx dx = L XX = X = 1 Et eodem modo pergendo fit X ess 0 ve X+ZK+L et C DDenux axax axelxax= Est antum deete +1L t Yq X+ X+ Xxpexe a vtxa Ubi videndum an Ck 1.2 3 X ek turbat nonnihil, quod ) erc =0. aetZ erte 1.2.h X = 2 - 1Z+ L72-293+1 9-. 9) erc posito Gel - 112 22 32 4 Si adhibeamus tantum quantitates quae incipiant ambae a nihilo, et fariamus. du = 1+7 dx et yC12 X+ (Z4X et rexplicando fiot Z = X + (X ax + SZ ax dx seu Z= Sr a + L XX + ZX + axaxax Et in universum Z XX + L X + ZX+ =. X erc + (eteZax dx er quod satis miroro et cum sit hujus differentialis est dzu = dx + Xdx + Xdx erc + ex et fiat dz: ax = 1 + +pp ((e = 1+ Z. Erquds((erc = 1Z-- X vos Ergo fit d 1-X c+ 1+ (= 2, quae samen pequalu jux vielur ubsurda Eror potius C, dque = dx + Zdx skyax =O. exiscum Gax I +X+LFL XG Ergo dei s e 6t 2