# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0014 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0014?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 7v, page id 00068201:0014 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=14 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000014.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 74 lines, status machine # Lines: 74 recognised, mean confidence 0.85 # 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. 22, antit. 23 23 24 24, ad H. 25 Sit. 3.-. 1,26 27, antil. d. 253 sit 1. cc -+ dd = bb icc = bb :c = b........ quod est contra hypoth.- 26 a L b H a = - b- d 27 28 29 3 4 4.antit. 5 5 (2 6 6, ad C. 7 bb- 2bd + dd 2bb - + 2bd - cc + dd = - bb am CC c - b...- quod est contra hypoth. Aequat.. Commun. a a - 2 b a. Oscendendum est.. Aequationem communem. - aaa =- 3bb a = in qua b - c.... esse impossibilem. a = - b Demonserat.. bbb = 3bbb = = 2ccC : 2cCC == 2bbb ccc = = bbb :c b... quod est contr.. hespoth.. :Hb + 3bbd + 3bdd- + ddd 3bbb -- 2bbd.- grantit. 30 2ccc- = 3b dd + dd d- 30. 11 2ccc = 2 bbb 11- (2 12: ccc = bbb = 2bb6 12 ad C. (13) c - b .... quod est contr.. hyfoth.. Sit 3. 19 a = b H a = = b - d. 514 15, antit. 16 CC... in qua bLc.... est impossibilis. quod erat grobandum. Propos.. Sit 2. 8 a = b _ a = - b. 1 d 1.8 9 13 bbb - 3bbd- + 3bdd- ddd 3bbb F 3bbd 2ccc -+ 3bdd - 2 X C ub. 17 ccC = bbb 17 X (2 18: 2ccc = 2bbb = 2bbb- + ddd LCCC 30 C 2 d Sit ou Sit 3 36. Su 31 39 4