# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0514 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0514?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 257v, page id 00068201:0514 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=514 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000514.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 recognised, mean confidence 0.92 # 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. requationes plures plurium incognitarum ad unam unius revocare: et quousque ea ascendat prae videre ope numeri radicum, item methodo, tangentium, Praesciri potest quo usque assarrectura sit aec novissima aequatio. Qe Exempli causa sist duae aequationes, una unius incognitae X utcunque assurgens, altera alterius utriusque X et y in qua X est gradus inferioris quam pauto in priore; at solum simplex nec ad ullam potestatem assurgens. Ajo sublata X in posteri re aequatione ope prigris, aliam aequationem inveniri posse in qua sola remanent oes V non assernectura ad aequationem altiore m quam quae erat prior. X + pX + 9X + YX + Sx +t 10. XY + bX + CX + dX + C + y70 Habebitus _ V.. Y .. Y. . y. y. e Nam X habet 5 radices, cumque V inventa et pure habeatur et simpliciter patet tot fore non plares ipsius y valores quam sunt ipsius X. vel er + 1 decimum ad gradum sextmus. si si in aequ. 2. fuisset aequatio assurr exisset fuisset: dx)+ ey+ ascendiss et ad gradum tetium, et ita pornum decimum quintum si duae incognitae sint duaeu, literae viocitur