# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0089 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0089?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 69, page id 851387705:0089 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=89 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000089.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 106 lines, status machine # Lines: 106 recognised, mean confidence 0.88 # 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. nde ee i 10 Cap. XIV. DELBABDRCTIONE subduetis s millium cencuriis restat L. millium cett- curia;) deleris ivicur 2 ec 6, eorum loco lupete Teribatur F (= 7 = 6:) deinde Lubductis 5 ex 13 (quoniam ex 3 lubuuei non pollune) reltant 83Y 4OZ MInuIOr. = 23 = 5; deletis igIur F3 d 5, lcribatur luper- ne 8: cum quia 5 = 0 = 5, HCaM5 Medctam relinquo (vel, si placeat, ipla deleca aliam tiguram 5 Cuperne collocare licebit) C Guta 8 - 4 = 4, deleris 8 ee 4 luperne pono 4: deinde lubductis 6 ex 40 (quoniam ex ohieri non porlt) reltane 34, delecis itaque 6 d 40, luperne seribo 34: denique 46 = 7 =- 39, de Lecis igicur 7 ee 46 repono luperne 39. AdeBGe MetS Kees Lapete le Percus cl 85330 =735806- 650467. Vel criam reliduus interne nocari porelt, hoc 735806 Minuendus. modo. Focins procestus demonstrario (sive : Ciniltra sive a dexcra orcliamur) dependet ex noco illo axiomate Pocum aequatur partibus omnibus simul sumpiis aceoque subductio omnium particclarium aequiralee subductioni corius subdu cendi. Si tractiones decimales line inteoris numeris adjunctae, opcratio nihilominus eo subductio dem procedie modo: id tamen semper cavendum est, ue quili- Dec gractus numeri interioris pari gradui numeri superioris lub. Tic. Exemplum hoc esto. Si lubductio instimenda sic in quanciracibus plurium (ut l0. quuncur) Denominationum: cadem tamen elt procellus rario qua prius. Ilud cancum curandum erie, uc quories ex classe leu lerie luvertor praxisin (majoris scilicee denominationis mucuanda elt Onicas, pro illa in le. lib. rie interiori (sire denominarionis PTOXImE MINOTIS) LOL MUMCreNEE unitates quoc scrierum ad invicem ratio poltulat. Sic in subductione Monecae Anglicana, pro L libra Tubstimendi crunc 20 Tolidi, pro 1 4 e 2. Tolido r2 denarii. In Fractionibus Astronomicis pro r signo, reponendi erunc 30 Bractus; Pro + Gractu, 50 minura prima; pro e minuco primo, 60 lccunda dc. uc in exemplis adjunetis videre clt Denique si quando plurce tuerine numeri subdu- cendi, vel ex uno aliquo provolico vel ex pluribus Timul Cumpris; priusquam subductio instiruatur, cam numeri subducendi colligendi lunc in unam Fummam seu aggresacum, quam numeri illi ex quibus Tune subducendi: et cum demum, ex agpregato hoc, Tub. dlucendum exit aggregatum illud, ut Reliduum habea CuT. (Acque idem omnino Faciendum erit non modo in Numerorum sed ee in aliarum quarumlibet quan- citatum subductione.) Ur in exemplo appolito vi dere licet. 53697 0572 ∞23301 Minuendus. 8360 39617 5603F10775 Minutor. 1212 12526 Residuus. Vel eriam ubi plures numeris vel ex uno, vel ex plurium ap sresato Cunc Tubducendi; poltunt plures subductiones succestive tieri Hoc modo. Ouancicarem subducendam minorem elle debese (laliem non ma- sorem) quancitate illa ex qua ele lubadcenda: Lupottibrle enim est uc quancitas major ex minore desumi poltc, (cum pars (uO EOVO major esse nequeat:) Adeoque liquando illud praestandum propo natur, Propolicum elt impossibile. Verbi gracia, Impostibile cst ihilominus, Guatrq ua sDC I seaple impollibile; non rarO tamen apue ArIC. Quants Mecleos, praelercim Algebriltuo, catestiam esset possibile, praeltari jubetur: Suppo. Tates Ne. et Chu (praecer sealeo Eitattillares) quancicaces qualdam imasinarias, quae ini. sacrva nOTeS 28 440 RestauuS. 9085CE Minuendus. 03040 Minutor Residuus. 64+582 LraXeos de stratio Partium Decima- m Subdu- ctionis varii Denomi ioni- 203. 865 52 In omni aurem Suibductione actualiter praeltanda, nocanaum cM, nc ex 5 Tubducancur 8, cum numerus hic sic illo major. Subdu ctionis merr sum subdu- cendi. 19340 Subdu Majori ex MIn 12526 sibilis.