# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068010:0067 # Permalink to this reading: https://leibnizlegible.com/page/00068010:0067?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13 # Folio 34r, page id 00068010:0067 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068010&page=67 # Source image: https://digitale-sammlungen.gwlb.de/content/00068010/jpgs/default/00000067.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 41 lines, status machine # Lines: 41 recognised, mean confidence 0.87 # 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. 12 f26. 167a Divisio item diophantea et comparatio Explicatum est quomodo constanti ratione formula unius literae per aliam formulam unius literae dividi possit nimirum primum tantum terminum formulae dividendae dividendo per primum formulae dividentis, e indeque per ad obti nendum primum terminum quotientis, et deinde pigendo more solito. Sed cum formula plurium literarum per aliam formulam plurium literarum sividenda est ex. c. fX+gC+ hex+ iK + tC+ m per bx + ce+ d videndum an simul dividi possit commor per X et c. et hoc quidem fieri potest cum dantur arbitrarie, acias vero paulo difficilius, et tunc quidem sic procedemus: bx + cea habebunque velut pro primo termino, quo dividermus fX+gehe jam . . . . fx +ge +hex dividemus per.. bx + Ce nc secundum unam literam incipiendo ordinando. fX +heX +g. ergo si sucedere debet divisio fier: + c0 scex bx + Guequ. ch - fC simo non id necese- a potest id servar erit = una quantitas ,nec extra eam e coel 1 X et uop velut residui pars