# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0107 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0107?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 83, page id 851708439:0107 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=107 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000107.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 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. Cap. AY IIL. A L G E B R A. est alcerius tracuionis terminos; puta Bc A Ci per l, acque D ee C K. per A; ut in exemplo illo superius expolito factum elt. Duod autem nora tandem reductione nonnunquam opus fuerit (post additio- nem auc subductionem peractam) exemplo hoc ridebitur; ubi i5 F 20 = 2, Z, De Mussiplicatione e Divisione Fractionum, has eradit Oucheredus Regulas. Plulciplicatio comparat heterologos terminos (hoc es reducir ad minimos) e Mulciplicat homolosos. Dirilio comparar homolosos terminos, ee mulciplicat hecerolosos. Fc li incesri parcibus sinc immixti, relolrendi sunt incegri in partes. Per terminos homologos, inrellisit, duarum tractionum expoticarum, duos nu- meratores, aut duos denominatores: per heterolosos, numeratorem unius et de- nominatorem alterius. Praesumit aurem, expotiras tractiones, leparatim Cumpras, jam reductas (per ance tradita) ad minimos terminos; adeoque nihil hic praeci Dic, de ejuldem tractionis terminis sicreducendis. Fxempla Mulciplicationis haec exhibet. 2F 20 5 in = Hc -. = in = Fic -. = in 3 = H1 27 22 d 7 I 8 es AB CC AC Sic in - fit -: sexcriuis in hecerotosis terminis BB e CC. CD BF DF Divisionis exempla, 28 a ZA CG in BHE A. = in ZFC -. - in - FC- 16 28 BC. ID A9 A9 A Bl B B9C 1 B, BC. CiA AC, BC BCC AB, AC C6. C D DAC CD DE lBE Dux autem praecipiuntur in Mulcpllealione de Diritione reductioneo lapata Forix (excritis, illic in cerminis heterologis, hic in homologis, communbus, in qui sini, mulciplicaroribus;) non ut plane necellarixe praecipiuntur (quae omitri non turo possent;) Sed ut salcem commodae lubi nihil in contrarium (uadCat) quo brevioribus terminis sexibatur ortum, nec trustra Scribancur licera post delendx. Puta. P