# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0544 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0544?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 48, page id 826603459:0544 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=544 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000544.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 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. Adversu M. Meibomit tem, Rcrationis ablatio, adeoque racio minuitur, hoc eAt, h9 minor. Hoc, inquam, suum Forca se ese Poceric; ac cerre no- vum non eA invencum: quippenemohoenon norit, (id ip. lum nempe cradic ea quam ille oppugnatum ic 8 e5.) scd d H. biadrerlatur vel maxime. Nam, juxca hanc resulam, C raci- onis F, consequencem s mulciplicemus in 13 = 5, UC RAE 12- tio = (nam 5X 13 = 7,) minuicur racio Z. ablacione racio nis3. Non itaque major eric ratio ? quam 3 Cquod vult Meia bomius,) Ced minor erie. Icem racionis sire =, ancece dencem 20, mulciplicemus in 13 = 3, uc hacracio Z5 (nam 20X13 -28) hoc est ?, augebicur racio =, adjecta ration ne 3; sdeoque ratio Z? hoc eAt E, major eric quam E5 hOc est Z; non aurem Cquod rulcMeibomius) minoxerit. Deinderero a pag. 14F. ad D. 148 inclutire, vix quicquam Occurrienovi: Led eadem lubinde canitur cancilena. Ouod enim p. 247. ex Hlarmonica producitur, parum ad rem spe- etat: quipee de Incerrallis tancum agic, non de Racionibus: aliud aurem esse Incerrallum, sidsuua, aliud Racionem, nozor Fx Thcone Smorneomodo dictum eB: quod cum non lacis animadrerterie Meibsomius, quxe ex Hlarmonicis sibi Farere pu- carerie, revera Fraudi Cunc.) Pcquio enim dabitac, quin inter 6 _ 3, acgueincer 3 _6, idem sic incervallum (auc eriam in- ter Paerem ee Filium, acque bilium _ Pacrem:) ac incerim can- dem aut agualem esse rationem (hoc eA, Rclacionem, 6 2d37 atque 3 ad6, sive Arichmecieam, sire Ceomerricam, haud guil- quam dixeric, (nisi qui _e relarionem Paeris ad Pilium, &t Pilii ad Parrem, cancundem esse dixerit.) Nam, quod ad carionem ue lognuntur Rrichmeticam, 6 est ternario major quam 3; at 3 ternario minor quam 6: Ouis aucem ternario majus esse, et ler nariominus esse, cancundem esse dixeric. Ouod aucem ad ratio- nem actinet Ceomerricam, est 6 duplum so 3, ac 3 est Cubdu- Dlum 256: nempeillud, duplo majus; hoc, duplo minus: Duisaucem, duplo majus, e duplominus, cancundem esse dixc Ouod aurem p. 146. 1. 3. inGnUatuT; C alerum facile quoque ex EIF5 his collixitur, diverse generis rationes, excessivam es defectivam, inter ses quatenus una alterâ major est, aut minor, comparari non posse: quod com- paratio ejuldem generis nomina requirar: EC P. 153. l. 17. Fxcessivas rationes cum excessivis, ex defectivas cum defectivis solum comparari posse: