# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0240 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0240?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 220, page id 851387705:0240 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=240 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000240.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 recognised, mean confidence 0.89 # 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. ER ACTFONUM aD. XT IV empe Fractionis Mulcipticandae, Numerator in MumeratOret, CCHOMMHAIOL in Benominatorem Mulciplicantis ducatur; tractionis aurem Diridenda, Nume- racor in diridentis Denominatorem, ee Denominator in Numeratorem. (Ouod C Breriter enunciat Ougheredus, Mulsiplicatio comparat heterolosos terminos, e multiplicat Bomolocos: Divisio comparat homoboees, e multiplicat Beteroloeos.) Sic E Fractio , in 53 ducenda Lit: Reducta prius , 8 ad 3; comparo adhuc 2 nu- meratorem prioris, ec 32 denominatorem polterioris, proque iIlis lubltituo rdt 16: cum etiam PrO O denOIatOTC PEIOTIS, _ 25 . P 3e5. Ldeoque randem 18. Similiter, s dividenda Fractio 18 = 3, Per 2 55 = 33: operatio sic procedet. Operatio- num in fractis hac Sgnopli conspiciendum Labstetmus. Synopsisi Totum icaque cum Acdicionis e Subductionis, cum Mulciplicationis et Divisio. numeris nis negocium, in numeris Practis; duobus his capicibus absolrimus. Quod breri Adao a Subduetio. eB = ab Mulciplicatio. Dirito. a A P. ZL IV. De Fractionum Reductionibus variis. Impropriae fractio. nis ad numerum interrum vel mistum reductio: e contra. Reductio ad minimos terminos: Ad commu- nem Denominatorem: Ad Denominatorem datum: Ad communem datumve Numeratorem. De fractio. num fractionibus reducendis. De fractionibus Sevare- nariis Decimalibus, tum ad invicem, tum ad fra- ctiones ordinarias reducendis. om eadem quoad ralorem tractio, mille modis delisnari pollic, uti luverine cradicum elb: F. pedir nonnunguam ex una in aliam torman tractiones crans. MUtare; de l Dei eom