# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0509 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0509?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 257r, page id 00068196:0509 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=509 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000509.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 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. a d fiat et. fiet ace a y= X ata X dxi =a serit X = VB a fiet ad. 21 Judx =f sit X = vv - 2va + aa; asiet dx = 2Vap = 2a dv. Ergo yde = ad (p.2a sit X = v - V a + 6va- ava +a 1a. vaa siet dx = 4V 4Ba + 12V a - 40 du: a. et ret Vdu= ad-nva+nva-2210 = 2V seu syde = 4 (v- a do + a sit X = v - 2aV + a. fiet do = 4V- 4 av av- cav et fiet (ydx = (. a dae. = 4(V dv unde notabile Theorema si X sit quadratus integer semper dx potest dividi in integris per hujus quadrati latus sit X = ee fiet dx = 2C de. n Su Su =(da