# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0131 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0131?run=74 # Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1) # Folio 83, page id 826603459:0131 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=131 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000131.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine # Lines: 39 recognised, mean confidence 0.86 # 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. CAP. 12. DeNotatione Mirutarum. semissis in quadrantem ductus, de tres quadranies in enes guimantes ducti; ER enim Ouadrancis dimidiirs, nihil aliud quam qua drans per lemissem mulciplicacus; E duorum ouinceneum quadrances creo, idem ralene ac quincances duo in cres qua- drances ducti: ut posteas cum de mulciplicacione dicendum erie, pacebic. Sciendum aurem eA, in Fractione proprie diece, Numeraco Fractio Pron rem Denominatore lemper minorem elle; ouia proprie dicta pria. Lractio, eA quid unicace minus. Si quandn rero numerator Denominatore major (ic, vel illi Fractio im- aequalis; dicicur illa Practio impropria, sive improprie dicta. Si propria, nempe Numeracor & Denominacor sine aequales, idem valene acg: unitas; Nam 3, 3, 2, duo Temilses, seu cres erientes, qua- tuoere quadrances, rencundem lune acque unum inccorum. Si VerO NUMETATOF Denominacore major (C, aliquid unicace majus inmitmr; nempe vel plures UnITAECS; vel unitas una pluretre cum tractione annexa: sic = quamor lemisses, idem valent ad duo incesra; = quatuor erientes, idem ac I Z unum incexrum uno crience auctum; sic 3 cst 2 2; Z cR ~ 3a BC BC ea Cimilibas. Ouod aurem de Fractionibus sire propriis sire impropriis, rulxaribus heuris numeralibus delexipeis, dictum cA; pariter incelligendum eA ubi alia quaeris symbola, seu poceilacum characteres, Axurarum ricc PonunCur. Sic cM = A, Cemissis quoncicacis A; e F imuic quancitacem A Per quancica- cem Edivitam; & CRradicissemis; = quadraci cricn numerus cernarius per radicem dirilur; sc 127 2 = 2 2 vel 22+3 2 vel 13 + 2 vel 2 24 12; l1 eA agPrePATUM ex Ag _B gdivilum per F. AC9: ica in simi libus. Verum haec mulca meliue percipientur, ponquam Di- silionis nd. uram expoluius; Prectio enim cA qual Diriso- cis indiCiUM; INMUIENEMPENUMETALOTCM. PeF BdenOrinAEO. REM