# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0272 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0272?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 136v, page id 00068201:0272 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 137r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=272 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000272.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 92 lines, status machine # Lines: 92 recognised, mean confidence 0.78 # 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. Utamum ergo explo. C v - na V - 1a F 0. E sit YH X fiet: N+ -uV X. nV+ 12 6. e 28 Ergo Xe S0 +6V, + v s18, f-1 + (96V - 128, Y. Wideamus jan an radix cubica extrahi possit ex ejusmodi binomio, 6 v + v 129-1 sit aliud binomium f Y - 1. ex eo excitetur cubus, fiet: 1+ +34 s-1 - 3ta = s. 1 Quod binomium priori coordinando fiet: 6V + v sis 6y + v Sis s-19 9 13 + 32 s- l3t.. -1 1 ut comparare Quorum duorum binomiorum terminos respondentes continundo, liceat rectius, faciamus VāŠ“ d t A et fiet ex terminis rationalibus comparatis: 69 + H +3 - 3+, sive fiet 13 t2 3. et t 1 2s 1-69 -69 (269 a Ex terminis autem irrationali quantitat affectis inter se comparatis, fiet. vs28 5 3+ - 1. et explecando tam V quam F habebimus: (3, 28 2s+i 69 -19 1I 169 Ubi faciendo S1 =. Eg B e fiit aequatio 3 = - 3 B2 C + 3963 51, 28 e erDse 39 so 128 (95, 1t - 1 + se H 1 S. 1 - 69 --- si ul initio tollendo utrobique B fecessemus v +3- 3+ 3F- 1. fieret 5, 30 -1857- 25,185 = 18, 36 23, 36 - 18 + 6 sive cubus t suve 6 an s Sed iatum quod cubus est a 37. 73 and et vnomino a 18, +3= 18f - 3t + 6 0 et tollendo terminum secundum: 1 S + 6. fici S (+ 185) + 3, 365 + quam quas a 6, 36 66 imo sunt aequales quad tantum aut 3C. Sed erratum tamen nonnihil in calcudo scilicet debet esse.1876 V1 3te 3+7 - C unde 43 - 184 = 3 + 6c 120 Y28 Uode omissa tamen c. impraesentiarum fiet: t s+ 6 Unde 128 1i8 C65 3, (63 28S L18 ,6S V28 sas 216 28528 12 216 -18, 36 5 1i8 128 28) sig + 6 128 s28 quaeritm jum ad 16,3 28 erbus a 36 sit major sit major quam quad. 216 + 12 28, 128 V28 an -1 8 sid 8t 26 Tubus a 36