# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068230:0002 # Permalink to this reading: https://leibnizlegible.com/page/00068230:0002?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 17 # Folio 1v, page id 00068230:0002 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068230&page=2 # Source image: https://digitale-sammlungen.gwlb.de/content/00068230/jpgs/default/00000002.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine # Lines: 28 recognised, mean confidence 0.88 # 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. beratio Fractionum binomiarum a denominatore irrationali mVa -nVa mma-nnb mmvaa-mud ab +nn bb m’a + n b m’amna b +mu ab n 63 Ma - n b mv a mn Yab+ mn ab= mn ab + n 16 M’a + n b 2s ma-mn a b +mn a m n a b musab n 6 m a = n6b et sita porno. Hinc enim apparet progressus in infinitum. Nota: possent m et n negligi seu poni aequal. 1. Quasi esset tantum va + Yb. Facile enim excalculo pro 1a+ Ab duci potest calculus pro mta +nrb. Idemque est in Trinomiis, aut pluribus ad huc nominibus Qui calculum eundem pro Trinomiis peragere volet, poterit pro praesenti Algebrae statu subsistere in secti gradus irrationalibus seu in Fractione ta +56+ EC lterius Namulesidas procedendo. calculus nimis prolixus orietur, donec Tabula quaedam Combinatoriae, ad promovendam Algebram necessariae, praeparentur. Sed et pro Quadrinomiis suffecerit interim procedi usque ad cubicas radices; pro quinomiis vero aut senomsiis poterit in Quadraticis Radicibus subsisti