# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068010:0070 # Permalink to this reading: https://leibnizlegible.com/page/00068010:0070?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13 # Folio 35v, page id 00068010:0070 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068010&page=70 # Source image: https://digitale-sammlungen.gwlb.de/content/00068010/jpgs/default/00000070.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.90 # 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. ercedem te patare subistitutis ergo quantitatibus propo– sitis, et und is equae tionum 2. in casuleit nunc e s nuno illasepauciores nunc plures altiorum graduum in aequi (3. coefficientes ponendo nihilo equales, vd videndum ubi incipiat destinctio si nullibis nullus est communis divisor Aliter: dividatur una aequatio per aliam aequatio assumta dvidat ambas Sed hac method tam sunt dificiles pro inveniendi communi divisore quam pro divisore. si duae aequationes sunt ejusdem quomodo gradus potest illis applicari rgula communis de inverctione artimu nis divisoris Responder potest, quia X repelita subtructione residuia sub tracto pelinquitur in ferior. Adde hinc quae alibi de eric in infinitum ex moeutione communis divisoris quaerendo et inquisitionem continuando vie pro uit apparelt facilurbi destructio adhibere potelimm numeros pro literis et plules quidem saltem animo, vel adhibebimue diversas literbs et abjectione novenanam Ve