# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0218 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0218?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 172, page id 826603459:0218 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=218 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000218.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.92 # 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. DeMulciplicarione e Divisione CAP. 20 divisanannimguam Caris Felicicer excrecur porest, eadem pla- nepremendo reltisia quibus in aliis Diritionibus inceditur. Ouod (Bost Carrehium) animadrercie Schorenius (tam in ip. tius ad Carcessi Geomerriam notis, quam in speciali cractatu quem Principia Macheseos universalis appellac, Arichmetica Spe- ciolae praxin exhribente.) Sed De olim, juxta recerum AIge- bram, ejulmodi dirisionis mechodum octendie Thomat Diecest- us, AnBlus, (rir Equestri Familia nacus, d egrepius Cui cempo- ris machemaricus, uti ex ipsius edicis operibus, Ced plerisqs lingua Anglicana, Cacis pacec,) in libro qui inscribitur stratioricos, (qui Londini prodiic Anno 1579.) ubicam Arichmerica vulgaris, quam recerum alsebra succincte craditur. Pa vero sic commode praestabitur. Disposicis primo tam mulciplicandae quam mulciplicancis parcibus, prout negorio masis accommodum ridebitur; quaratur quancicas quae Cal- cem in unum (quod seligere placeas) Diriloris inembrum ducta producat membrum aliquod quancicatis diridende: qua quanticas pro guorience (particulari) habenda est, ee in dirio Torem eorum ducenda, et Pactum ex quanticare diridendâ au- Ferendum, nocaco residuo. Acgs idem icerandum erie quocies Opus est; ut reliqua etiam quocientis membra reperiancur. Ita (I quancitas ABF + 2C DF = 3AgB i 6ACD diriden- da (Icper F = 3A. Ouoniam F) ABF (AB, scribo in quori- ente AB; quae ducca in dirilorem Ln 3A Facic ABF - 3A9B) E i 3R) ABF +2CDF 3AgB in bACD (AB + 2CD ABE = 3AGB +ZCDF = 6ACD LQCDF mo 6ACD quibus ex diridendo subductis, reltare video 2CDF n bACD. Deinde, eandem operationem icerando, cum sIE F) 2CDF (+2CD, Subjungo quociencipriom F 2CD, _ ducto 2CD in E n 3A HC 2C DF i 6AC D; quod ubi Cubductum est, nihil restac; eorag; operatio cR ab (olura. Icem Ei diridendum sIC AC L BC Per A P: oum (C R) AC (A9. Ducendo quociencem Aq in divisorem A = L HC sic i AgC, e Paeta subductione rettat AgF L BC. Tum quia