# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068199:0004 # Permalink to this reading: https://leibnizlegible.com/page/00068199:0004?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c # Folio 2v, page id 00068199:0004 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 3r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=4 # Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000004.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.80 # 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: dx semper mutuo desstruent quod deveret augert exalbationem suo irvitionali Une ) seu ad hibeamus irratia ralem uni versalem cuius diferentialis est x Qiaa _bx F abx) LYad (at YbX) = deb ta ta 2, 1ax) dsy = (pdy: 2Yy Ergo d ssat Ybx) = d YbX:, 21 (+ YbX) dsbx = sb dex = sb. dx: SX. Ege = b dx8: 216X. Ergo fiet d N(a + 1bX) = ab dx: 4 tCa YX Mb. dx: 4 x ((aX + X VbX) sit bX = 77 et dx = 2Zdz. 6. Et fiet d Isaa + a Y6X) seu d saa + a Z) = ab dx: 4 Yaab X + abx 1bX) 2a7dZ: 4 (aa + aZ) b+KX) d S(Derta ((+ XX)) a Ydx tx iphiand 2X at caxta IbKTXX) 2 1 4 ac eraxi Ay reox 2Cdx Y(a + XX) tabdx + ZXdx dx 4VGN(bX + XX) +fX =G dis FbH+XX) 2c) DK +XX) F abdx + 2axdx = 4 4f4 cx Cbx+ x sed hac prosunt quia, redit eadem abx + ∞1) L(ox rXC) ila (bxt) univesalitas et si radio in prodeunte potest verti in simplicem, potuit et in dato