# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0335 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0335?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 289, page id 826603459:0335 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=335 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000335.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.89 # 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. C AP. 33. De Progressione Gcometrica. dupletur, eripletur; quadruplerur, esC; pro- venier Loearichmus guadrati. Cubi, Bi- guadrati, ec. exposirae radicis. Pucanis. meris Losarichmus 0, 69897, eri PlacuS, nemDE 2,09691 = 3X 0, 69897-0, 69897 +0969897 f 0, 69897, eA logarichmus numeri 225 =-5 X 5 n S LOgal. 0, 698977 F 0, 69897 +0, 6989 2, 09cyL Fit vice verta: Si numeri cujusvis locarichmus fuerit bifariam, In Ridicum prifariam, quadrifariam, Sc. divisus; prodibii locariihmus radicis qua- extractione draticae, cubicae, biquadraticae, ec. Puta 3) 2,09691 (0, 69897 erie logarichmus numeri 5 = V 125. Ouocies autem occurrie numerus minor per majorem dividen- Fractionum dus unde oritur numerus Fractus, qui unicace minor cA; prodibicl. Oharich. LOgar. mus Negacirus tire ablacicius, quip. 0930103 Deminor quam 0,00000logarith. = 0. 17712 musunicacis. Puca 3) 2 (3 nume rus, logarichmum postulabic 0 O, 17609 17609. qui nempe prorenit subducto logarichmo nuimeri 3, ex Logarichmo numeri 2. Oui plura pecit de Losarichmici Canonis sire Constructione Tive ulu, auchores adeat supra laudacos, Hepperum, Brixeium, Cellibrandum, aliolq; qui de hoc negorio ex protelso Ecriple. runc. Sufticiac nobis, opcracionum L.Ogarichmicarum orixinem e toncem indicase. Loearictmio C AP. XX Z. III. Proeressio Geometrica fusius traditur. TITCHE SuperiHS C AP. ZXVII _C ZZVTII, Propressionis A- Drichmeciex doctrinam Fusius prolecuri sumus, libet eadem Mechodo e Progrestionem Geomeericam aggredi, sequenribus propolicionibus explicandam. Ouod quo rechius hac, haec sun- eo quibus sum ulurus Symbola. Terminus minimus, quem primum axpello, (IE A5 maximus.