# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0087 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0087?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2) # Folio 67, page id 851387705:0087 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=87 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000087.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 64 lines, status machine # Lines: 64 recognised, mean confidence 0.81 # 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. dIu eet (SirC nc ese 122 lou 11 eo libia ne de 11vC) AetM 11 Na Idd Cap. XIV. DE SUBDUCTEONE. Rcdlicionis praxis in speciebus (ue lognuntur) sive Crmbolis, se in poceltacibus Algebricis, interius, polt explicacum Numerorum subductionem, cradetur. C A P. XIV. Subductio Sdditioni contraria. Subductio quid: Sub- ductionis praxis: in Numeris Simplicibus: In numeris Compositis. Praxeos demonstratio. Pranis in partibus Decimalibus: in variis Denominationibus. Subductio majoris ex minore, impossibilis. Duantitates necativae seu Ablatitice; non ab sur de supponuntur; quid innu- ant. Sub ductiomajoris ex minore, quatenus supponi- tur praestanda. TOA Addicionis craditionem, ad Subductionem seu Subcractionem deveniendum subductio est; quae addicioni concraria ct: VE enim AadiciO NMMeTUM NICTO, vel Addisio- Faltem Onancicaum quancitati, adjunsit; Subduetio d CONETA NUICrUm NuMeIO, ni con- vel Ouancitarem quanciraci, autere: Adleoque quod Addicio componic id Subductio traria. diltolvu. In praxi Addicionis, dacis parcibus invelligatur Focum; in praxi Sub. duetionis, Dato Poco cum parre una, quaeritur Reliduum seu pars reliqua. Fst isicuE Subducere, Numerum a numero, vel potius duaniitatem a quantitate, Subductio auserendo, Residuum exhihere. Subductionis aucem live Ablationis noca, hac ette quid . Tolet -. Adeoque li ex s auseramus 3, reltabic 5 - 3. Si ex quancitate A au feracur quanciras B, manebic A = B. Ellud aucem Arichmeciei practici, in praxi Tubenctionis, munus elL, ut Reliduum quam tieri pocelt commode nocis exprimat, ejusq; valorem incellcetui extribeat. Ouod quo pacto tieri postic, nunc cracticuri lumus. In numerorum subductione, numeri duo dancur, quorum alter ab alcero aute. rendus elt, de cerrius quaerieur. Numerum illum a quo alter est auterendus. Nu merum Minuendum appello; auterendum vero Minutorem; tercium autem quem quaerimus, R siduum voco. Sic li ex numero quinario auterendus (ic cernarius 3: NumerUS Minuendus CHE 5, MINUTOY 3, qui reltat auTCM 5 = 3 == 2 RCliduns clt. Vel univerlim ( quonam alins eriam quantitares subducendas elle non raro acci. dic) diei voltun Guancicas Minuenda, quancicas Minuens, e quantitas Residua, vel Locum, Ablatum, Residuum Numerorum simplicium subductionem nemo supponitur ipnorate, sed vel na- Subdu- tura vel ulu quocidiano didicisse; ut li ex 5 auterancur 3, sectare 2. AucCaltem, ctionis E illud docere lic necesse; potiris cor punctis quot est numerus minuendus, puta 5, l tor deleaneur, quoc est numerus minuens leu anterendus, pura 3, icllase deprchendemus 2. Vet denique Tabella Radicionis e Subductionis. numeris semplici Pt a 61 5 21 C4 25 I16 2123124125 (26) 17 8(20(T2I12113124125116127118 ex tabella quam supra poluimus, illud depromi porest. Si nempe AILIMIEruS MIUI ens vel auterendus in summitace sumatur, puta 3, acque interius u Caclem columna GuXTaTUE