# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0428 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0428?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 382, page id 826603459:0428 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=428 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000428.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine # Lines: 27 recognised, mean confidence 0.91 # 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. Polita Fractiones de cemosluos minimos; Numeracores Cci- licer Cingulos, luosqi respectire Denominatores communimen- lura maxima dividendo. Deinde vero, in Mulciplicatione, Nu meratores singuli, cum Denominatoribus alcernis, AC COmPa- reneur _E rCdUCanEUT; ac, in Diritione, cum Numeracores invi- cem, tum etiam Denominatores invicem, Ac comparentur 8 reducantur: Fe praeparacione Ec Facta, cum candem AaF ea qua Praecipicur cerminorum Mulciplicario; Nempe Fractionis Mulci- Plicandae, Numeracor in Numerarorem, de Denominacor inDe- nominatorem Mulciplicanti ducacurs Fraccionis aurem Dividen- da, Numerator in diridencis Denominatorem, de Denomina- cor in Numeratorem.. (Ouod sic brericer enunciat Oughere dus, Mulriplicatio comp eratheseroloeos terminas, es multiplicat homolo- eos: Divisio comparat homolosos, multiplicar heterolosos.) Sic ( tractio, 8 in 2Z ducenda lic: Redueta prius , 5 ad 3; com- Paro adhue 2 numeratorem pricris, e 52 denominatorem po- Berioris, progie illis substiruo T_ r6: cum etiam pro 9 de- nominatore prioris, e 15 numeracore polterioris, Tubsticuo B85. Adeoque candem prodibic a5. 382 De Fractionum Mulriplicatione e Divisione. C A P. 43. diridendo:) vel etiam, E id potius expetatur, praeparacione Facta ancecedonea: nempe hoc modo. Reducancur primo, ex- Similicer, si dividenda fractio, 3 = 33 operacio sic procedet. Der 21, = 22: Oeum