# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068252:0001 # Permalink to this reading: https://leibnizlegible.com/page/00068252:0001?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 2 # Folio 1r, page id 00068252:0001 # 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=00068252&page=1 # Source image: https://digitale-sammlungen.gwlb.de/content/00068252/jpgs/default/00000001.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 106 lines, status machine # Lines: 106 recognised, mean confidence 0.87 # 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 Progressione Dy adica. Numeratio Pars T. 6 7 8d. 19. 10 11 12 13 14 15 16 1 t 10 11H 100 (101 110 1 1000 1001 1010 1011 1100 101 1110 1N 10000 ( 32 23 24 25 2b 27 28 29 30 31 10090 10011 10100 10101 10110 1011 110v0 1OSt 11B1O noi 1110D 1O1 1110 inu 10000O 20 21 22 10000 Adscripta progressio facile continuari potest, icipeendo a dentra siniptrorsum, et. nundo superstantis numeri unitu haben subscribere 0. donec occurrat in superstante etiam 0. cujo subscribitur T. sequ nes ultra pergi opus, nam reliqui pharaderes manent ut in superstante, ita ex 1011. 000 88. 1oorio idem est ac si diceres: 1011000 esse 2 + X + 2 + 2 + X X Y Nam 64 + 16 + 8 1 in quarto loco seu 1000, significat cubum fundamenti uti enim in communi progressione significat cubum denai ita in nostra cubum a binario, nempe octo. similiter der. pese progressionis centur I in quinta loco significat quadrato quadratum seu 16, et uno alterno a deran in sexto significat surde solidum seu 32. et in septimo denique quadrato cubum seu 64. porrom Notandum rnitatis si in progressione descendas perpendiculanter Eogressine charactere numeri superioris ad characteres nun directe subjectos numerorum inferiorum, semper unitates redire 10 pogrossoo per saltos, et primam in ultimo loco redicere unitatem post unum 00 vis, etcut ero. at in secundo loco seu quadraticam. redire post tria appargt cubicam in tertio loco seu cubicam post septem zero interjecta, quarto loco seu quadrato quadra ficam post quindenim Hine jam offerre se videtur modus commodus transfor- mandi datum numerum decadi expressionem dati numeri decadicam in dyadicam sit numerus 36 3074 ejus continue e sumatur dimidium et dimidium dimidii residuo semper e regione ita ut imus sit sinisterrimus, et ita pono, dabunt expressionem duadicam quaesitam 365 Eadem methodus servari potest pro quacunque progressione in aliam commutanda. itique 365 eri400 + 01 VOI) 101101101 1000000009 nempe 1000000 100000 1000 simili arte decadicus cono dyadicus convertetur 40 decadicum, vel addendo in unum omnes binari 256 potestates decadice expresses ut hoc loco. 256. 64. etc. vel etam dyadicum datum dividendo per denarium decadice expressum, residuis. ordine collocalis, eodem quo dixi modo: dividatur per 1010) quodem NOIXOYI OIZ 9910 16 Nor es 101107101 +100100 divisco quoti secu ndus. quoadiet (ero1 101) 106100 1I rorooo Noi san At prse 101 Resid aqu. 5 210 Resid aequ. 6 aequ 3 15 Martii 1679. 10001 100000 190001 10001 100011 100100 10101 100111 101000 sequi plimmi inde duobus alternis Dein quatuo alterus geometiin Eodem modo quaeren binaris, tern bi pri vet derivation 10 item pregret 33- 95 ibb Exhispatet sio potenhiaru Ao a 428 109 256 16E