# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0157 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0157?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 109, page id 826603459:0157 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=157 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000157.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.84 # 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. 26. De addirionis e Subductionis Specios 109 ablaca, redibie punctorum numerus quinarius primo poticum. Vel denique A ANE 5 - 2 --3, addicis verings 2, agerc8aca c. runc aequalia 5 = 3+ 2; e Con- era A aequalibus 5 = 3 4 2 anterantur aequalia puca 2 ma- nebune xequa lia 5 - 2 -3. Acqueidem prorlus, iildem de causis, in numeris majoribus non minum valebic; uc de in Subdu. ecionibus Alsebricis e speciosio sive Cymbolicis; aue etiam iin Onancitacibus plurium denominacionum. Ubigi enim e univerlaliter obcinebie illud, Subtatum es Residnum aeGHantET Zo1i. Exlempla aliquoc Cubjccimus. E.X. 3~ + 228, 22) 10IICX∞ -. 123+37 Rclid. 2 X 4 323 - 4 26 Stima 3 2 4 2 2 = 125 2 A _ 3B C SAC= 4 A9 Y A Y ZAC + 2A9 - 2 A + 3Y 2 AC 6. A9 + 3 A in 4d 5AC on 4 A9 + A 2 30 12. 56. Acq hactenuo quidem oRendisse lusticiat muenam eam Rd dicionis quam subductionis, examen Erc probarionem per ope- racionem concrariam. Non ignoro incerim Ramum, ee postillum alios, cenlores Objectio Eorre plus lacis rigidos, hujusmmodi Addirionis e Subductionis Rami. muruas sire demonstrariones sire probationes rejicere; non quidem uc Fallas aur Follaces, sed ut luperAuas: quippe cum vericas operationis sire in addendo sire in Cubducendo ex ip(0 progressu latis appareas, (h nempe rice procedac uri regulis do- cetuT,) ideoque demontrarionem aliunde Frustra pencendam eAte. e B uct A in 4B + 2C dies. hetas a L8C