# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068207:0018 # Permalink to this reading: https://leibnizlegible.com/page/00068207:0018?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5 # Folio 10v, page id 00068207:0018 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 11r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068207&page=18 # Source image: https://digitale-sammlungen.gwlb.de/content/00068207/jpgs/default/00000018.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.81 # 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. Exponentes Numeripras domtrie divisores + (4) E3 d 19bE 59e 9 ibi in investigandis resicuis Id commodi habemus quod suppeditant Numeri progressionis geometricae per eundem civisi, ut scilicet quaedam quasi Logarithmica lex observetur e difficulter fresidui sequentis divisoris, a divisore residuri praecedentis derivantur. Et quod in divisn dividendis progressionis triplae dedimas, etiam haberi poterit in dividendis progressionis tequadiuplae, quintuplae etc porro ex resionis hujusmodi habetur expressio dyadica Ex. g. quaeritur quomodo scribatur 243 quia residui e dyadice expressi 10x 2 t sunt A 1 40D 1 110011 11001I 29 115 l1D1001I 243 ita patet novi divisoris residuum, refinere notas praecedente, prioris residui. por ex lege resituorum habemus processum in unaordine respducrum, quasi logarithmicum. Huic addendae est lex transitus de ordine in ordinem v.q ex residuis ipsius 32 ad residuos ipsius e4. Haec pendet a quotientibus divisionum per 12