# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0105 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0105?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2) # Folio 81, page id 851708439:0105 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=105 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000105.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine # Lines: 29 recognised, mean confidence 0.91 # 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. XNIII. Acque Lic lemper sumentuo Guotee velo prour (sre lc julto major Bre justo minor) difterentiamque d mulciplo inde denominato (sire excestiram Tire detectiram) pro proximo dirisore. Sed hoc obiter. Fademque (pro numeris) mechodus, adhiberi non raro porest pro communi mentura in Speciebus exquirenda. Sed Pagacitate aliqua opus erit hac in re pro diritionibus rire ordinandis, se electione quorientum. Hujus exempla rideas apud Franciscum Schotenium, in fuis Principiis Mathesios Oniversalis. Fractiones (divertinomines) ad communem denominationem reducuntur, diri dendo primitus (si opus Fueric) ucrumque denominatorem per eorum commu- nem menturam; acque cum, per alternos quotos mulciplicando urriusque tex- minOs. Aique in tractionibus sic ad communem denominationem reductis, Additio aut Subductio instimitur, addendo aut subducendo carum numeratores, Tubseripio denominatore communi jam inVento. FF, Si incesri parcibus linc immixti, scor- tim tamen sunt numerandi. la 2 l 2. b a L1. eta, relina 16 Sie, Si aedendae sine = et 2. -, sent 3 -. Aque haC TumMA ex C = Subdu- 2 Et in Speciebus similiter. Notandum tamen, quod, de Denominatoribus per maximam communem men furam primitus dividendis, dictum . LCMIe opus esse. Lc quod etiam, ubi cali reduetione locus e pole ca ret cullo omnu ret penp. Mul- riplicatis leilicet utriulgue tractlonto cuugue terminis, in alce aio rem, arque tum addendo auc tubducendo noros numeratores, u n deno- non raro, jam sint in minimis leo cale seductionen paltantu. Lun