# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0411 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0411?run=44 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 205r, page id 00067993:0411 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 206v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=411 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000411.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 44, 2026-08-27T14:25:39Z — 54 lines, status machine # Lines: 54 recognised, mean confidence 0.83 # 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. 1 2 20 43 27 108 26 194 12 48 192 4 16 64 256 differentiae primitivae progressionis Geometriae sunt termini progressionis Geometricae unitate minoris Et ideo differentiae progissionis duplae sunt radicesles progressionis triplae sunt quadralae, progressionis quadru– plae sunt cuibicae, quintuplae sunt padrato quadralae . d quid si propessionis rao sit factio, ut 3 eodem modo diffia primitior erunt terminis progressionis ejus Tadis quae est data demta unitate. Et ideo io casu sunt termini decresce tes. Et ita iterm sunt eorum primitivae diffrax primitivarum terminis 9 Z7 En 27 Hinc mirabile in progressionibus fractionumdecrescentibus fractio et a progressio fractionis datae, et defferentiae ejus ab nitale sunt sibi mutuo generatrices im = 4- G- in vi grali in numeros, inqui sitioe M. numdius vis yn siderandus ut rao E = ax - ib .. , - = im - IX B = um 6 = 2 4 f 4 4 - 1o- non - atie ib buq bkq 0 ete. = = Ergo alip - ibp = bk4 imp - IXP = L Ego 4 imp - 4 lup = Km 4 Xmq lox - nomp = L Ergo, glop - gump. = moq. NunA. 1. 4. p. = x a 2. 3 mog .4. 9. olex onm- no q. hgo otema- differentea gpon a progressionis unitate minoix, t Seu fractu potest cuiu esse, et intege quoque fractio e t substriper Mesh