# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0180 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0180?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 134, page id 826603459:0180 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=180 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000180.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 recognised, mean confidence 0.87 # 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. De Multiplicarione. lal rus mulciplicatione Factus cories continear Mulciplicandum quocies Malciplicacor conciner Unicacem: Prout MulciplI- cacormajor sic aue minor quam Ulnicas, auc ceiam ipl aequa- lis; ita numerus Procluctus sire Factus major est auc minor quam mulciplicandus, auc ipsi aequalis. Nam qui quancica- tem praecile lemel ponit (hoc ck, imulciplicac per 2,) candem neqi auserneqi minuie; qui aurem plusquam Cemet Ponit Cubi nempe mulciplicaror es major quam L,) ille auget; qui aurem minus quam semel ponir (Cire qui mulciplicat Pec quid minas quam 1)ille sic mulciplicando minuie. Multiplicario Pacer aurem, ex jam cradicis, Mulciplicacionem (Calcem est mulplea Cricte Cumptam) rix aliud esse quam mulciplicem addicionem, addilio. live addicionis compendium. Idem enim ek criplicare aut pec 3 mulciplicare, acq; quancitatem ter apponere; adeoq: la- ecum istius mulciplicacionis cancundem exic, acq;e hujus addici onis Aggresarum; de similiser in aliis. PuCa 2X 2 = 2 + 2 2X 3 = 2 4 2 + B. 2 + 4 = = 2 + 2 4 2 4 2. _C. UE DaTCF. Ubicciam obicernocerur, numerum binarium sive lui actie ctione, sive in Ccipsum mulciplicatione, cancundem augere; nempe 242 =2 n 2: quod in Colo numero binario con- EiBeic. Multiplican. Poreo, in numerorum mulciplicatione, aei ex dictis item pa- dus ant Mul ter, duosnumeros noeos este, lire dator, costar, nem pe multiplican- riplicator, u. dum ee mulriplisantem sire mulciplicatorem:) cerrium quaelicum tervis exta- elle, quem Pactum lire Productum diximus. Sciendum camen ett. etoribus dici perinde omnino esse sive honc sire illum ex dacis mulciplican- Potest. dum anc mulciplicantem dicamus; idem enim omnino pro dibir Factus, ucerris datorum dicatur mulciplicandus. Tan- eundem enim est lire relimur Ouaruor Per Donenda, hre Fria Ouacer, verobiz; enim exlursune Duodecim. Hoc cA X3 = 3x 4. Echimilicer in aliis. Quod quidem coridem punctis, eo quem hic rideas ordine poluis, Pacis demonstrari pocerie: Ercenim lerie- BIIS CTAN(VEEHIS MUIIETCMUS CEF GWAEUOE, H- re seriebus crectis quater eria, idem camen cric urroris modo punctorum omnium MAMETUB. DE DATCC. ACq; hoc ipCum Eu clides ecendic 16 c7. Far No aeIduOI WORNaTNaSIdCOrTES a XXAABS, HOLCO ZIVRS, ot XroVErOs dE auXoV, 1501 a n NHNO1S E0 orZ et Bo idb