# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068010:0059 # Permalink to this reading: https://leibnizlegible.com/page/00068010:0059?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13 # Folio 30r, page id 00068010:0059 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 29v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068010&page=59 # Source image: https://digitale-sammlungen.gwlb.de/content/00068010/jpgs/default/00000059.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 56 lines, status machine # Lines: 56 recognised, mean confidence 0.97 # 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. Numerorum Characteres simplices vel sant in Arithmetica vel in Algebra. in Arithmetica maxime usitati sunt ver 0. 1. 2. 3. 4. 5, 6. 7. 8. 9. in literis a. b c. ita 0 significat nihil. 1. unitatem et 2 significat 1 et 1. et 3 signifiiat 2 plus 1. et 4 sign. 3 plus 1. et ita porro. In lieris autem etsi a sit simplex, tamen per eam litenam intelligi potest numerus qualiscunque sive cimplex sive Literates chamacteretmerorum In Algebra simplices maxime suusitati sunt tum ipsi numeri ut 0. 1. 2. quos tum literae; ut a. b. C. Nam Algebra adhibet numeros ex Arithmetica, adhibet praeterea et literas pro numeris incertis, quanquam nonnulli et alios ut a. b. tametsi sint qui adhibeant etiam alios characteres, ut R. pro re. item pro unitate incerta, et similes. Sed communiter literae sunt commodissimae Characteris compositi sunt qui significant quandam operationem in numeris simplicibus. ita 10, significat 9 + 1. et 12 significat, 10+2 et a + b significat duorum a et b. additionem. et a- b significat subtractionem b ab a, et ab significat a multipl. per b. et a significat a divis. per b. et et a + b a - b et a+ b significat a + b mult. per a - b. a + b vel a + b, c- d signi et Ccd ficat atb divis. per c- d. Omnis operatio in numeris sine quantitatibus est augmentatio seu additio, vel diminutio sive subtractio Quia omnis in quantitatibus operatio est quantitatis variatio quaedam, mutatio autem quantitatis nihil aliud est quam augmentatio diminutio quaedam ab fiit est a mahl b seu a multialoper b) Additio et subtractio sunt vel simplices vel certa quadam lege repetitae composita ita multiplicatio est repetita additio magnitudinis ejusdem, divisio est repecita subtractio ejusdem. Radicis extractio est divisio per numerum aliquem adhuc ignotum et quaesitum De quibus postea Nam radicis extra quadraticae extractio est divisio numeri dati per numerum ejusmodi ui siat quoliens aponis aivisori. de quibus postea 30 significat 3 magl10 et F et 100 significat 10 mabl 10, et A 132 significat 100 + 30 +2