# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0307 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0307?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 261, page id 826603459:0307 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=307 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000307.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine # Lines: 33 recognised, mean confidence 0.84 # 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. AL. Se De Rationn C omPositioneo FL V2L =LXV2 =L V2 = V. 2L 9 = Y: 2XL9. Trem, E adM uER ad S, vel L. M: : R. 8. vel L = 5 H 1 .Fc similicer alibi. Oud vero ex omnibus desienandi Formulis, Rationeo quilibet detienare relis, penes lesc opcio: Liberum quippe cuiqi exit, quam velic elisar; vel eciam nune hanc nunc illam, PEOUE praelenci negocio maxis accommodum videatur. C AP. _ De Rarionum Compositione sive C’ontinuatione, es Imminurione. Ra lio Duplicata, Triplicata, ec. Trem Subduplicara, Subtriplica 1a38c. Et Subduplicata triplicata, ec. A D pleniorem Racionum cradicionem, superest ac Ratio- L num Compolicio, sire Continuatio, de Imminurio expo- mantue. Rationum Compolitionem, sive Continuationem, sive (VE Rationum nonnulli loquuntur) Addicionem, detinie Evelides, 5 d 6. No- Compositie 2O En nogur ovZnE NEyaI SraV, ac nS NoYcOr XINOMTES C sive continu EaVrus noManaaciont, nos nrds: FOrce ZWd. Rario ex ra alio, quid. eionibus componi dicitur, quando rationum quantitales inter se malriplica- vae aliquas (vel rationem aliquam) efficiunt. Ouid perrationum quantitales incellixit Euclides non incer in cerpreces conrenit: num lcilicet iplos terminos; num quod ex eorum comparatione provenit. Ilcrumris aurem dicatur per- Inde est. Puta, siracionis A ad B cermini, in cerminos rationio u ad B respectire ducancurs nempe AXa, BXB; ut proveniae rario Axa adB B: Ereeciam ratio B ducatur in ratio. nem P suEproveniaE B 5 a B: Perinde est; nar