# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0400 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0400?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 354, page id 826603459:0400 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=400 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000400.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 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. 354 De Regula Aurea Reciproca. CAP. 38 Duo minor eA EerMInUS CErEIUS, (VIrOTUIM NUMerUS;) eomaior rucurus lic terminus quarcus, (numerus dierum requiticus; per regulam icaque inverlam, quaerendus cA terminuS QuaEEUS. 40. Eodem modo: Si laperi laro pedes 9, loneo 20; obducendus pannas vilior, quirolum recat, latus pedes 3: quaeritur quot pedes loneus esse de beat, un necorio sufficiar e ouoniam hic manifectum sic, quo minorem habeac lacicudinem pannushic, eo majorem requiri lonsicudinem, qua lacicudinis defectus supplea. 9. 20 : 3. 60. 3) 180(60 - cur: per regulam inverlam, reverietur lonsicudo quaelica, Deo De operation um 60. Acque in aliis paricer. num compen. ux autem operarionum compendia, de Regula directa, in diis; ex pro. apice praecedente oltendimus. (sire quond ordinem operacio. bationiem. num perhciendarum, live etiam terminorum praecedancam ron ductionem,) etiam hic, mucacis mucandis, locum habene. Nec opus estat ea Beillarim hic repecam; sed porius ut lcctoris la- facicaci permicratur, quae illic diera lunc his apeare. Quod de Probationibus illic eradicis, incellectum velim; ouas, qui cano ei elle pucec, etiam huc, mucatis mucandis, non disticulcer erant. Ferat. Moluctiohu. Pocandum denique, Proporrionem Reciprocam, in Directam con- jus Reea Cersum iri, si qui in reciproca est terminus veriius, starvatur in directaprio od directam. Mu. Nempe G(E In provortione reciproca 9. 20 : 3. d - 60. Eric in proportione directa 3. 20: :9. & - 60. Rcciproced 9. 20 : 3. 8 = 60. 3d180(60 - a Directe. 3. 20::9. = 60 3)180(00= Aeque hactenus de Aurea Regula simplici; sive Regula Frim um; cam directa, quam Rcciproca. Sequitur uc de MulciplI ei verba Faciam; ubi nempe plures quam eres occurrunc cermi- Ai iplaque Proporcionis Resula (apius repecenda. E. AgUC ca,