# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0152 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0152?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 104, page id 826603459:0152 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=152 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000152.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.85 # 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 Additione e Subductione C AP 13 b 2b B2 F + B 4 b+ an 6b = 2b +56+ X Verbi gratia, A CUPBONAMUS A, B, C, D, E, significare 9233,475. Icemb, B 2, b2, b, GgniHCare 3, 9, 27, 8I. can- eundem ralebune icta acq; haC. 405 n 54 9 +12- + 27 + 3. n 8tm 135- 9 + 4 354 221 324 = 162- 18+ 15F Y =- 160 In lubductionehae obtervandae Tunt Regulae. 2. Si sena snt Dissimilia subseribenda est quantitarum summa, cum sieno superioris, nemee quantitatis minuendae seu illius unde faci- enda est subductio. Puca (I Cx = 3 auteramus + 2, reliduum crie 8. Nempe E sueponanenr jam decse 3, d ulterius auferan- cur 23 candem decrune 5 =- 3 F 2. Trem (1 ex F Z auteraNEE 2, reliduum erit F5. Nempe Ajam ad (inc 3 &e inluper collatur, (hoc eH, Cuppleacur) delectus duorum, hre resticuan. cur 2, jam eandem adErUMES = 3+2. 8. Si siena sine similia, subscribenda est quantitarum Differentia; cum siono communi, ubi quantitas anferenda minor est, sed cum sieno cum con- trario, ubi quantitas auferenda est major. Pucd, _ Cx Y. 3 auFCraNCUE r2, manebic F E, quIa 3 = 2= T: Silvero ex + 3auterancur 43 manebic I, QNI2 3 4- -s, Cupponicur nemper dccsc. Icem E2 Cx - 3 anteramuS - 2, manebie 5; quia nempe ( incellin gancur dcesse 3. De auferantur = 2 sive Cupplcatur defectus duorum, hoc ek, E restiruancur 2, tandem deeric non nili 1: Si vero ex - 3 auteramus - 4, manebic + X; nempe ubi de- exanc 3. Rresticuancur 4, aderic L. Pc paricer in aliis. Ouxhredus ucramq; conjunctim sic eftere, Subductio speciosa con- juneir urramque maenirudinem datam, mutaris omnibus sienis quantin retis subducendae. An Subdu- bobba H AF B-