# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0273 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0273?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 137r, page id 00068194:0273 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=273 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000273.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 recognised, mean confidence 0.86 # 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. aequatio fundamentalis ex defini tione progressionis harmonicae Z = a + 2b Zb a Fb. Za a +2ba +b= 2b. 2a125, - a + 2b = 7 b. 2a 12b = Zb + a + 2bs 2a + 2 - 71 = 4 Za = a + 2b a + b a + 2b a + b c = a + 3b + + 2b a + 3b (1115 (ed e- + 2b a 2)) duabus Datis differen. tirs proessio 1- a+ 2b = b 1= a + ab + nis harmoniae eerminos in Venire. a+b +b atb at Z - aa + 2b a + b a + 2bl. a b a + 3b + 2 2b+ 2b =3c+2C = C+5d+3d a 3b +26, = b + 3C +2C