# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068231:0032 # Permalink to this reading: https://leibnizlegible.com/page/00068231:0032?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 18 # Folio 16v, page id 00068231:0032 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 17r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068231&page=32 # Source image: https://digitale-sammlungen.gwlb.de/content/00068231/jpgs/default/00000032.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 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. habebitur alia aequatio, quantaecunque altitu– dinis, quae ordinata secundum X, dividatur per aequationem surdesolidam datam X +qX + rx + d SX + l x + v aeq. 0. dn 1+ D1X +X + 6x +. d ad hoc faciendum aequale nihilum omnes quatuo quinque coefficientes seu cognitae ter minovum quantitetes ponantur aeq o. D) aeq. 0. et nempe O aeg. 0 Demonstrari etiam potest quatuor literas valores. l. M. n. p. esse rndices alicuius aequationis et Imnx sint quartutates rationales. Hoc ita inveniri aequationis pro una inventae radices plures. aequation quod biquad ratica habeat simlm um quadento quade biquadraticae quia scilicet eodem modo se habent in calculo, ergo qui unam invenit, invenit omnes, tanquam ed unum demonstrandum superest, quod coefficientes rationales, seu quod um mn qua eaque ratione inveniri poterunt quinque litcrarum arbitrariarum n. l. m. n. p. et residuum divisionis erit quinque membiorum nempe. (. d