# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0455 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0455?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 9, page id 826603459:0455 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=455 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000455.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 recognised, mean confidence 0.92 # 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. DEDICATIO. +3d V3 F 3 d; deortum vero, + 3d V3 = 3d; adeoque nec DD bilectam esse in P, nec O0 in x; &e propierea er dia mecro AP parallelam, non ec iplam esse diamerrum. acque hactenus videamur aequacionis nodum Cacis solvise. Ne eamen ea de re nimis lecuri simus; en nova Aacim hinc prodic difficulcas. Annon enim quam haccenus consideravi- mus recta DD, eadem plone eA, in catu a ce POsICO, aEgHC AD Omnino, inquies; quippe, cum infcripra O0 per verricem crarseat, eodem iplo verricis puneto contunduntur, cum pon. cum G, cum etiam puncta D, O, superius lumenda. Bene CH. At, inguam, ergo recta pA, eadem est acoue rD Curtum Tumendo. Ouidnis inquis, chec : Ergo, inquam, (utur de pD deortum lumenda securi GIUS,) eric Palcem Curlum pa - DD = 9 = + 3 d V3 + 3d: id enim inventa modo docet aqua- tionisradix, Pacis, vei videbatur Racuminaca. Ommino, in quies; _ quidni e AC, inguam, cA AP =- 3 A P = 3 d, (hoc enim alsumic cua demonstracio; acque eA verissimums) E icag; BF eadem pA = + 3d134 3d, quod jam obcendi videaiur; eric 3d = 3 d V3 + 3d, hoc ek 1 = N3 + 1, quod cAt im- Polsibile. Videntur icaque necdum omnia Pacis incer se cotr- rere, auc ex vocis nottris succedere. Ouippe aliud adhuc lacce, quod torrene Cuspiceris quidem, mytterium deinceps dere- eendum. Dum hoc apo; lupervenit secunda iua demonstracio Oux, rem ulterius prolecura, non modo oltendie, Rcctam a n qu’ae interipeam AO bisecaC non esse diamerro AP paralletam; Ted, iph aliquando occurturam, ipsumque candem concartus punctum C: adeoque e veram diameerum polliceri vi deacur; Calcem s ulla omnino recta, ad punctum a pereingens, ictius currae diameter esse polit.