# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068253:0024 # Permalink to this reading: https://leibnizlegible.com/page/00068253:0024?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 3 (shelfmark LH35, 3 B 3) # Folio 12v, page id 00068253:0024 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 13r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068253&page=24 # Source image: https://digitale-sammlungen.gwlb.de/content/00068253/jpgs/default/00000024.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.80 # 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. Generaliter a+ b = m+ 20 erit m = a + b - 2ab et O = ab seu arb- 2ab + atboab a + b +C = a b 2 ab + a + b -2ab + c = ab + a + b - 2ab. + C - d C (atb. 2a1) + 2F (a1 b. 2.1) seu arbtC = 2ab + a+ b -2ab. + C = 2 (a +b. 2ab) C seu is rab + a - 2ab + qubc Eatbu rab)C a+b+ = 2ab 2ato rabre. 3 sarbcrabi) 1) a+b +C+d F rab . a - 2ab + 4 abc = 8abcd 4 abe +gabcd C .bc 4 a +b - 2ab +C = 2 ( +b - 2ab) C + d - 2 (atb. rab+ C - (C rb - 2ab) e) d 2 (a tb - 2ab)c tet Ubi illud oritur pulchrum Theorema, si sint quantitates quotcunque a, b, c, d, et quarum quaelibet non significet si seu nunquam assurgat ultra 1 nisi ovel 1, tunc a - 2ab + gabc -9 abcd et etiam non significare nisi vel o vel l seu nunqo un assu non assugere ultra si pro a, b, c, dsa et. substituas ab ac ad bcod cd erum biniones em seu pro a ab +c substituas ab + ac + bc, erolo biniones erunt 3abc, quia aa = a, cn ita ru caeteris Et termes etiam abc si pro a a, b, c deit substiturs ab, ac, ad, bc, bd, cd, erunt rmi biniones habe timines abc HIbcd quidonmes 15 abcd smones abed 1 6 15. ald 3 abed sit ab 3ab. + 46 abcd ad ba acq Deu una 6mo abed intro a ab abc abid 1,5 43 1 11 1 3 610 15 10 20 5 23= 161