# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068008:0016 # Permalink to this reading: https://leibnizlegible.com/page/00068008:0016?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 11 # Folio 8v, page id 00068008:0016 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 9r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068008&page=16 # Source image: https://digitale-sammlungen.gwlb.de/content/00068008/jpgs/default/00000016.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 27 lines, status machine # Lines: 27 recognised, mean confidence 0.95 # 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. Rationes exprimo instar divisionum. Rationem d ad b sic: d, seu 4 ad 2 sic = seu 2. et 6 ad 2 Scribo , seu 3. quia 6 ad 2 ratio eadem quae 3 ad 1. sive tripla. Ratio scilices nonri 6 numecum 3, 6 pedum ad pedes 3, est numeu quo exprimendi essent sex pedes, si unitas esset tripecalis, nam pro deibus pedibus ponamus unum rpodemus unc dixodem sex pedes forent duo tres dipodes similiter ratio q toium pedum ad duos foret 3 seu 1+ L nam tres pedes erit unus dipus cum dimidio seu 3 dipodis sive tres dimidiae dipodis sed qui vero rationem aliter def accipit, cum eo litigare nolo satis est me hoc impostem sensu a me aecipiendam profiteri Hinc ratio tram pedum ad duorum pedum ad sex est Z seu inversa prioris Ratio etiam designatur sic a: b id est ratio a ad b vel . Et quando duae rationes Aequalitas ita delignatur 3 aequ. c. vel 3pC. id est 8 quantilas 3 et quantitas c. sunt aequales Majus sic ef C. seu 5 p3 Minus sic Cr) C seu 3 r5 duae rationes aequales sic: F aequ. =. seu G. seu fie i d f,,c aequ. dc. b. seu etiam f: c :: d. b. 6: 3:: 4. 2. sive 6 est ad 3 ut 4 ad 2. Unde f C d. b dicuatur proportionalia