# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068237:0004 # Permalink to this reading: https://leibnizlegible.com/page/00068237:0004?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 24 # Folio 2v, page id 00068237:0004 # 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=00068237&page=4 # Source image: https://digitale-sammlungen.gwlb.de/content/00068237/jpgs/default/00000004.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 94 lines, status machine # Lines: 94 recognised, mean confidence 0.83 # 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. distructius 1000 211 1000 aqu. aequ. 1 aequ. aequ 4 + ( + + + 4 + 156 211 1000 aequ. 4 + ec 56 aequ. o 6156 eu vel clarius. aequ. 1 1000 ol aeju. 1000 1000 Et ita continuari potest in infinitum, semper in ipsius valore relictae substituendo primum ejus valorem nem sed ut valores aa comprehensionibus purgemus, filt: 156 4 156 1 1562 aequ. 4 + 2, 56 4 4 15t2 1000 1000 1000 211 10062 1000 1000 1000 1000 10 aequ. 4 + in 1000 aequ. + +2 1000 et ila continuando in infinitum erit tandem L aequ. C 1 15b 12 l + 156 .4 1000 13562 211 1000 131 + 14 2 g + 1 L 156 1000 posito Z esse infinitom quod inventum haud dubie inter maxima Arithinesicae arcana censeri 211 1000 1000 1000 debet. Hinc enim credo via patebit investigandi numerorum divisores Numeru autem 4 et 156, aliive in aliis numeris ita statim inveniuntur. Nume Denominator fractionis (mmneratorem habentis unitatem) dividat Denariiae potentiam f.10. 100. 1000. 1000 ) proxime se majorem, quotiens dat a numerum qualis 4. cb comerum A q esiduque numerum qualis 156. Nempe sit fractio 2 Tolentia denarii dproxime major, ipso _ dividatur per n, cuja nominatur n en sit g. residuum sit V. Caio fore aq n 1 + Y + Y + HHinc jam et summae fractionum facilii invenientur ut s sit tractio quotiens r aqu. 150 L aequ erit n aequ 2. daequ. 10. 9 aequ 5. raequ. O vel n aequ. 2. daequ. 10. 9aequ. 1. r aequ8 a 10 10 d 2 A 10 21 100s 1a1562 ut ea lon squ 211 iaqu 2.11 d aegu. 1000 qaequi a Nimirum faciendo 4 Temper 1. seu sumendo residuum licapi differentiam nominatoris a poten in denalii, tunc positis pogresponis drithmencae, seu fractionibus progressio nonicaeormur argressionis arithmitilae pro