# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068251:0001 # Permalink to this reading: https://leibnizlegible.com/page/00068251:0001?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 1 # Folio 1r, page id 00068251:0001 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 2v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068251&page=1 # Source image: https://digitale-sammlungen.gwlb.de/content/00068251/jpgs/default/00000001.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine # Lines: 61 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. De 2. y adic Ct AaV, 1l Definitio: (5. 1) Numerus dyadice expressus si V est, dcba si idem significet quod iigfcet, quod simul sumti a O C00 ut d600 et b0 idem sit quod bis b, et c00 idem quod (quater C, et d00o idem quod bis quaterna d seu bisbina c seu octies d, et ita porro (15. 2.) itaque 10 est 2 et 100 est 4, et 1000 est 8, et 10000 est 16, et ita porro. Patet ex praecedenti si pro a, b, C, 0, ponantur 1, 1, 1, 1. et Unde etalis prodit TabulaC et generaliter Numeis pro progressionis Geometricae a binario incipientibile exprimitur dyadice per unitatem tot nullitatibus praefixam, quot sunt unitates in progressionis Geometricae exponente seu 2 = 10. Tabulaque ita stabit e 10 1000 10000 100000 1000000 10000000 100000000 2 02 + 16 32 64. 128 256 100000000 10000000000 1024 2 2. 20 21 5B3 et + = 50 seu per praecedentem 5. 4) 3 = 11 Nam 3 = fiet perdt 10 unde 10 5 = 101 Nam S= 1D 4 + 1 = 100 + 1 per 5. 2 r00 idem quod, vs per 5. 16+ 1 (per 8.3,