# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068241:0070 # Permalink to this reading: https://leibnizlegible.com/page/00068241:0070?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 28 # Folio 35v, page id 00068241:0070 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 34r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068241&page=70 # Source image: https://digitale-sammlungen.gwlb.de/content/00068241/jpgs/default/00000070.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 73 lines, status machine # Lines: 73 recognised, mean confidence 0.82 # 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. aso Quoniam in hac dividendi mithode residuus post quo- tiantem jum inventum separatim inveniendu est; cum tamen in vulgari quotiens et residuus simul inveniantur hinc praeclurque erit hujus regulae usus ubicunque negligitur residuus. quod fit injimis in 00bdF144 omnibus decimalibus, seu divisionibus post multarum (7 1000001 020000 cephrarum adjectionum continuatis, v. g. t quaerdum in decimalibus, scribamus: 05000. quaerumus in decimalibus, fieri debet: 0206000, ut scilicet divisori 14) c. 47 424+ 41 1t 1,21,6. =aX = 4aX X +4 =oX ∞04 2 a 0200yc a142 +eA A 0 2000d e necurgcae 2 2 2 Quod non succedit quaerenda tatio: Ratio autem est quia resodum neglegimus 4a4-04x (6) (ut patet in divisione literali adjuncti hanc reps sentante) id et 4a4 seu 32 s pro termino secundo quotientis tantum X2. loco +0- 8, unde postea istud 2 +0- +a x X + 11 opu rursus subtracti 2X 0. divisiones in numeris necesarum e non ut subtrnctiones etiant de sibi assignatas quantilates ss nor quisque terminus vcineat 17Jo200100. eit sic procedemus quasi esset aX + bX + CX etc. per 1X+ p. fiet: a aequ. 2. relique aequ. 0. et p. aequ. 4 et X aequ. 1b. sciibemus. 3 +12 -8 Nondum patet exitus. sequitur scria 4 dunt iterm 12) quaelonge patet subesse errorem Ratio erroris. semota a +a4. unde ulergo ad huigmodi termino in termirum, sed itaque pro divisione L Ratio sulido, quod 4+ seu Aa, seu B subtra ximus, ab aX seu 20 ita mapet multaplicanto per 4, fit 8. quaepla 5 +0. 4 +44+ raax 44a4 14) 0 ∞ 42 42 42 4 4 22 2 4A M aX + oX HoI + aX X + A primus tarminus sit E. jam divisio ita institue tur eroerOBC 60 Qua a 14