# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0013 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0013?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 7r, page id 00068201:0013 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=13 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000013.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine # Lines: 62 recognised, mean confidence 0.87 # 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. Sit 1- -- - 6 5, 6 6. + d- 480205. Ostendendum est Aequationem Communem... --- aa - - 2 ba -cc... in qua b = c... esse impossibelem. mulaca c.. in b + d, erit .. aa -- 2ba -.- id autem obiter est demonstrandum... a b Lemma. Ostendendum est Aequationem... aa- 2ba = : bb - 266 = b6 2bd 9 a = b I a = - b + f 10): bb- + 2 bf + f 30, antit.. 11 Sit 3. 18, antit. -2bb - 2 bf - dd.... quae a H. + 2bd. + dd - = 0..... qual est quoque impossibile. bb- 2bf + f = 26b + 2bf. :f + 2bd. + dd = Aequat... bb = 2 bd - dd 0.... quod est deiam impossibile. a a a - 2ba - -- bb - 2bd - dd.... est impossibilis. 16: Aequat. - aa - - 2b a = = - - cc.. -. in qua b c.. ett impossi. 19 b bilis... quod erat demonstrandum. bb - 2 bb - cc b Aliter.. 19, ad H. 20: c = b...- quod est contra hypoth. Sit 2. 1321 qualitas est imfossibilii = - bb = 2bd - dd 12 a = b. H a = b- f 13, antit. - 19 8,11, 14 5, 1 2bd dd.... esse impossibilem. = = bb - 2 bd - dd 7,antit.. 8): 2bd- + dd = = 0... . quod est impossibile. Sit 2... 539 5312 13 13 21 a = b _ a = - b- 1 d 22: bb + 2 bd + dd 2bb -- 2 bd = Sit.