# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068251:0004 # Permalink to this reading: https://leibnizlegible.com/page/00068251:0004?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 1 # Folio 2v, page id 00068251:0004 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 1r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068251&page=4 # Source image: https://digitale-sammlungen.gwlb.de/content/00068251/jpgs/default/00000004.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 79 lines, status machine # Lines: 79 recognised, mean confidence 0.91 # 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. et posthanc secundae. quia quod ob 4 unitates. oportet notare p sub columna secunda a paesente, et ob 2 unitates notare punctum sub columna ua prima a praesentes, et quia suit superest, sub ipsa colum ut penultima noto 0. pergo ad Columnam ant penultimamt ibi russus quartae unit ascribemus 2, et secunda post hanc, nempe secundo puncto ascribemus 1 et harum ducta puncta designemus, in columna secunda et prima sequente poss praeseatem sit exemprum. 00000 des er rec processu quoc ductibus in columna ultima st sumantur primum unitates maximi qui adest numeri progressionis duplae, nempe 4. et quartae seu ultimae ascribatur 2 (ob 4 = 2) quod notat punctum signandum in columna ab hinc secundat, et quidem loco secundo, seu inter tam ejus secundam et tertiam. supersunt snbates2, superest nullus amplius numerus progressionis duplae sed 1, itaque debet 1. notari sub cola eolumna infra lineam sub omnibus lumnis ductam in columna penultima pursusacribatur 2 sub nota unitate quarta, nam al F nam 4 = 2 et 2 = 2 et sub Colummo, quaa i s et 1 (6 secuntae post hancF Et ob 2 notetur punctum a in loco secundo columnae ab hinc secundae, et 0b . 1 notetur punctum in loco primae columnae ab hinc primae In antepenultima eadem contingert in columna antepenultima; ascribatur Aiterum 2 unitati quartaesquae hic designatar per punctum) et 1 unitati ab hinc secundae; et similiter insequentibus fiaut notae, ut ab in penantepenultima rursus eadem seu quiata in antepenantepenuttima rursus eadem. in sexta occurnur duae unitates, ergo secundae aseribo 1; et punctum signo in loco secundo colum primae columnae primae abhinc. et sub colamna sexta scribo 0. Eadem prorsus fieut in 7ma columna; At in octava, nil superest nisi 1. quod quae sub ea scribitur; et provit 100000001 8. 8) Subtructionis praxis haec est, ut si plura sint subtrahatda vel subtrahantur sigillatim, vel prius addantur in unum, deinde summa subtrahatur. Ultroque modo non nisi unius numeri adritione est opus. Quo facto subtrahatur subtractione s ciamm cutulcus. ila nulcero ab Et nota a nota ejusdem sedis e nota subtrahenda sit 1, sed ea a qua debet signetur punctum primo un loco ad notam subtrahendi et udem dipribletur residuum 1. poxume sequentem, et si is jam sit unitas, iterum ad sequentem; et ita porro subtrahi sit 0, itaque ubi binae occurrunt unitates in subtrarendo habeptur pro 0; fietue subtractio non nisi 0 ab B ve 1 ab 1, ex quibus prbr relinquit 1, posteriot, exempli grati praesta abta sccibere vul e confumntur in collectionis cum ipsa columna unitate neas huc duxi a punctis ad numeres ex quibus s unt (nempe antepenultima, seu quarta 1, 1310d. ASiect Lendoctli OILO MOVBL