# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068010:0066 # Permalink to this reading: https://leibnizlegible.com/page/00068010:0066?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13 # Folio 33v, page id 00068010:0066 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068010&page=66 # Source image: https://digitale-sammlungen.gwlb.de/content/00068010/jpgs/default/00000066.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 52 lines, status machine # Lines: 52 recognised, mean confidence 0.84 # 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. = bX DX. xea dividendus X+bx+C divisor quotiens: Residuns: + X+ X+b -d d- bd +c Ergo residua ergo nihil differt ab ivisere erone data tantum proX ponendo d. Dicidendus X AbX FCX + d. divisor X tC. quotiens X +b X +C s e Residuus: 1tle-ce +d Pates residuum nihil differre a divisore insi quod pro X ponitur e in aequationibus graduum maarium ut +e in aequationibus graduum parium ut ante. Nota quotientem componi ex omnibus inseriorum graduum residur Nimirum si aequatio fuisset Q foret quottens residuus seu 8. qui fit in Q prok C ponendo +C (scilicet loco X +bX HXsi s aequ.0. fieret X fbX EC dividendo ommia per X). si aequatio fuisset D (seu X3+bX, seu X + b) feret residuus seu prota ponendo C et quod provenit multyilicando per A denique si aequalio fui set feret residuu seu X., seu 1. divisis omnibus per X) (seu 1.) ponendo ro X ponendo + C. (sed hoc Eantile hoc casu, quia tuna nullum ad est X) et quod pro- venit multiplicando per X sit d. Hac methodo, quotres dividenda est aequatio per cujuscunque gradus per aequationem simplicem statim scribemus valoram et quotientem et residuum. +bx +c+X X + ex t -bea Aex +C. cX Abc