# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068010:0060 # Permalink to this reading: https://leibnizlegible.com/page/00068010:0060?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13 # Folio 30v, page id 00068010:0060 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 29r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068010&page=60 # Source image: https://digitale-sammlungen.gwlb.de/content/00068010/jpgs/default/00000060.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 41 lines, status machine # Lines: 41 recognised, mean confidence 0.94 # 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. Additionis nota est signum +. ut 2+3, item atb (id est _5) item a + 3 item a + b. sens Eodem modo et ( 1 + . item 1 + 2mase (seu 4) item 1+ 2 mase 3 seu 1 + 213 (id est 6) item = 13 item a+ L vel a + bc. item a + b vel a +C Subtractionis nota est signum -. ut 3-2 (id est 1.) a - 3. a - b. Eodem modo et 1 - ( id est 3) 1 - 1 (id est 3 - = seu =) a - 2. item a - b. item a - b. item a - bc. item ab - cd. item a - b ab - cd. item a - b + c vel 2 - L + L (id est 2 + id est 1 potest enim eadem quantitas tam per additionem quam per subtractionem varie componi. L aditio repeti potest variis medis. certa quadam lege servata ex quibus additur idem, ut a + as sive bis a, vet Si quantitat compesita alici quantitue Arithmetica, est scientia numerorum simplicissimus ille est, cum aliquoties et item a + a +a id t ter a. unde dicitur addenda sit, tunc ascribitur ei signis iisdem certorum, ut 0. item 1. item Z item 3. item 10. item 100 a multiplicari per 2 item per 3. Possuntossunt etiam alii modi additionis certa lege repetitae excogitari, ut servatis, sin subtrahienda sit, tunc quantitas item 3+Z (sive splus 2 id est 5) item subtratienda sascribitur alte signis ita mutatis, ut ex + fiat = et contra. ut a + a+ 1 + a + 2 + a + 3 sive additio ut em A + b + cad idem est quod horum terminorum. a et a + 1. et qu2 a + b + c - d et a +3 Sed non est opus peculiarem operationem pro ipsis excogitari quemadmodum pro aeditione ejusdem seu multiplicatione Omni quantitati cui nullum praefixum est signum, intelligitur praefixum signum + ut a+b, id est + a + b. vel a - b. id est 1 perinde ac si dicerem 0 + a + b, vel etiam item 0+ a - b. sive nihil plus a minus b.