# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0147 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0147?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 99, page id 826603459:0147 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=147 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000147.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine # Lines: 55 recognised, mean confidence 0.90 # 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. CAP. 24. De Subductione. puco primo, 60 sccunda Rc. uE in extemplis adjun- Ctisridere est Denique si quando plures Fuerine numeri subducendi, vel Subductionis ex uno aliquo provolico vel ex pluribus timul Cumprie; priul. pranis ubi quam lubductio instiruatur, cam numeri subducendi collisendi varii numeri Tunt in unâ Cummam Ceu 28- erceacum, quam numeri illi 5369) ex quibus Cune subducendi 8 cum demum, ex aegregato hoc, lubducendum eric agore- gregacum illud, uc Reliduum habeacur. (Aeq. idem omnino Faciendum eric non modo in Numerorum sed _ in aliarum quarumtibee quanticacum 9572 (233OI Minuendus. 8 360 39617 560321077 Minmor 22 T.F d subductione.) Uc in exsemplo appohco videre lICet Veleciam ubi plures numeri, vel ex uno, vel ex plurium aggregaco tune subducendi; porsunc plurea (ubductio ones luccessire heri hoc modo. In omni aurem Subductione actua lires praestanda, nocandu est, Ovanci eacem lubducendam minorem elle debere (Palce non majore) quancica- se illa ex qua eAt subducendu: Impos- sibile enim ek nc quancicas major ex minore delumi possic, (cum pars suo roro major esse nequeat:) Adeoqi. squando il- lud praectandum proponacur, Propotirum ck impossibilc. Ver- bi gracio, Impossibile cA uc ex 5 subducancur 8, cum numerus hic (c illo major. Nihilominis, quanquam hoc sic reaple impostibile; non ra. Guantitatos rocamen apud Rrichmeticos, pra serrim Alscbristas, cangua Necariva; esset possibile praestari jabetur: Supponunc enim (PEXTer rea les quancicaces) quanricaces qualdam imaginarias, quae mino res sinc qua nihil, quas quancicates Negaciras, siveAblacicias ap. pellane: Pc prour (distinctionis pratia, ubi opus cR,) quantica. ribus reris (quas policiras vel aftirmatiras appellane) nocam hanc + Addicionis Icu Aftirmationis vel Policionis indicium Deasigune, ita quancicacibus imasinariis, negaciris, sire abla is, pratisum noram hanc . Subductionis vel Ablacionis sire sANE (ubBH- cendi. 22326 Residum. Subdlictio Majoris ede Minore, im possibilis.