# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068033:0013 # Permalink to this reading: https://leibnizlegible.com/page/00068033:0013?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 15 # Folio 7r, page id 00068033:0013 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068033&page=13 # Source image: https://digitale-sammlungen.gwlb.de/content/00068033/jpgs/default/00000013.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 62 lines, status machine # Lines: 62 recognised, mean confidence 0.79 # 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. 1679 fiat: e e 7a2 (3) sive 4- a + 4 aequ. 92 aequ. V. (4) +1 aequ. ea2 vel y H 2 1 22 12 12 aequ. yZ. e 2 et per 2. fier exi 3) 2 vel v, 2 +1 72 lodus ergo solvendi problema in numeris in eo consistet, sit assuntis Z omnibus ut pro Z sumamus ordiner numeros deinceps e indeque seriem constituamus primum atque inde ab unitate 2 3 ipsorum 41+ 2 deinde ipsorum 4- 22 u Serierum discamus quandu et opi diferentiadum da series habeant flexus sive crescant aut decrescant, inde jam facile poterit cognosci intra quos limites duae illae series concuprere ut dossint sese contnger illic tantum terminos tantum interj ecta examinare sit opus. Et si diverso Calio modo rem instituamque poterimus eesdem limites ad huc rediere arctiores. Ut si faciamus: 47 = 1 aequ. V. C + y 8 + 7 aequ. 1 pat e vel etiam adhiberi possunt tres series una 2, altera tertia 4F- 1 et) examinandum quando prictes tertrae duesunt quaeritur