# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068606:0333 # Permalink to this reading: https://leibnizlegible.com/page/00068606:0333?run=74 # Title: Leibniz-Handschriften zur Varia Physica LH 37, 4 # Folio 165r, page id 00068606:0333 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 164v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068606&page=333 # Source image: https://digitale-sammlungen.gwlb.de/content/00068606/jpgs/default/00000333.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 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. secus ac sunt effectus alii qui a peculiari qualitate moti, aut obstaculo occurrente e ac superato nasci forte possunt Axioma Duo quanu Duo qua qua Duo quantitatem habentia est materiam data quantitas motu sunt inter se, ut numeri aequalium ulquode sperest eselet ce Quicquid autem de quantiaate aequa verum partium in quas ita resolvi possunt. resolvitur autem in partes quod ita est geaa id de alia qp verum ess univensoliter qbantitate, quae a priori minus differt exhauritur un s ut si quid detractis partibus superest, sit minus quovis dato. Exemali causa Hexapoda resolvi potest in pares se pedes sex, decempeda in pedes decem, vel (posita ulna duarum medum) resolvi potest Hexapodam ulnas tres, decempeda in ulnas quingi itaque Hexapoda est ad decempedam ut 6ad 10 seu ut 3 ad 5. Et vero in universum nihil aliud est quantitas ut quantitatem materiae contentam quam numerus partium posito mensuram quandam semper sibi congruentem assumi pro unitate. Et hinc usus scalarum in partes aequales divisarum nascitur Haec autem etiam ad incommessurabilia producuntur quae definito numero rationali exvnitatibus ebeuposite exprimi non possunt seu numero unitatum aut ejus partium aequalium exprimi non possunt ostendendo errorem esse minorem quovis erroredato, ubi nempe linea a quocunque mobilis adeoque revera esse nultum errore quo vis dato genere aliquo quantitatum, = item ad ea