# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0216 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0216?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 170, page id 826603459:0216 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=216 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000216.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.79 # 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. De Mulciplicatione es Divisione 3C in TO F 3R = 2 I E + 6 18C = 6O + 1BR = 1E APABP+APKPC 3DOF TC, n 3C BOC. + 20 6C 4 4 T2 R 60C 1OF 13C 5( +20R = 12 2 A9F B9 = 3A + 2 no C9. + 2B i 2C919 = C 9B9 F 3C 9A 2C9 F2 BAG + 2BC n 6 B A + aB n21.47 l.4D +3197 i 2C4 B l E B4 + 2B 5 2 a = + 3b a = bc 3a 2 ba c= 92 + 9ba = 3bC4 2 mo 6B + AB 4ba = 6b2 a 2 + 2B2Ca. 64 F5b a= a i 2C a = - 3 bc= a F Bc = 3bc7 + 2b2c i 6b e a2 m 2C2d 3bc a + bC Divisogradiridendis quancitatibus conjunctis, E Calcem Dirifor sic retarum con- quancitas simplex, vix quicquam peculiaris difficulcaris est Drx- junctarum. cer simplicis divitionis rerecicionem; adeoq: quocientis per parres inventionem. Ec quidem parum relere an a dextra an a Gristra incipiarIuS. Exempli gracia, Si quaneitas DC = 6BC + 8C9, dividen- 2C) DC mbBC +8C4 (=B i 3BF + C. DC) 6BC ]8C4 da esTet Per 2C; Primum quaero qaenam quanticas ducta in 2C Faciec DC, _ relpontum = D in quoriente Bono, quem quociencem in dirilorem ductum (2C. x =D =-DC) ubi ex dividendi C AP. 20 et FCl