# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068000:0060 # Permalink to this reading: https://leibnizlegible.com/page/00068000:0060?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 3 # Folio 30v, page id 00068000:0060 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068000&page=60 # Source image: https://digitale-sammlungen.gwlb.de/content/00068000/jpgs/default/00000060.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 16 lines, status machine # Lines: 16 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. Jhh = XX tyy x = ehia tc, et sist Ehh = eehh +ca rehac + ceaa + aagus,: aa sit cetyu = coh et fiet t 3aah = eeh + 2eac +ga g, vasinem e divident et h= 2ace +aa9,: 3aa- ee = cc+ yy;: 9, fia a9 = haa et 2ce+ a9 cc + y7 Seu 2ce+ 3aa- ee = cc +, 9y 1eu Va cC+yy +ee - 2ce - 29e +2cy = Mm = 3aa -mm -2yC +2cy quae aequatio divisa in duas dabit c+y -e =m et 3aa -nm - 2ye + 2cy =0 C-e =l, fit et y = m + e = C = m - l et fiet 3aa = m + 2lH =os seu 3aa = mm + 2Im AEIl seu 3aa = mme ell B 2lm a sit l = a + mA. a fud Bsaa = mm +2aa 4mn + 2mman (: ac)m tam = ammn (. a) seu aa=um = amn + Emmn(: aa) - ram = 2mm (: a) EmNq aa sit a + M = Ba: a et fiet p(: a) (a -m) = 4n +2 mnn (. aa) - 2a-