# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0367 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0367?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 184r, page id 00068201:0367 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=367 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000367.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 recognised, mean confidence 0.88 # 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. Xbj. 1674 e. Numera Raducum Aequationis. Cartesius ait aequationem tot habere radices affirmations vel negatu reciles vel imaginarias, quot. habet dinensiones. Ego vero depehendo aequationem emo eror non labet plunes eandem habere posse plures non collective tamen, sed dispunctive. it est habere posse Exemrplignatia. aequatio: y - ab 70. bina habet radicum paria; nempe nam transposita aequatione fret. 1I ab. unde V Vab. aequationib affirmativis radicibus ex his duabus: V - sab 10. et duas habet radices aequales, producitur ergo aequatio y = Yab. 10. eoque sensu Venim praeterea duae aliae concipi possunt ejusdem aequationis, ambae regativo, aequalesqu inter se scilicet Y B = Vab. Unde y + sab Ho ducta in Y + Yab po. y+ab etiam produoitdatam: y - ab H0. V - Sab 10 an hoc sit verum: Sy sab po +Y. - 2ytab ab B0 Ylab + sab a b p Y + Tabpo 1y trytab ab Sed videamus unde patet aquationem propositam ex cipsis non produci, ac proinde falsum esse quod dixa et aequationis - ab qu. duas esse Radices tantum. 1 - vab D. et y + ab p. altram veram alteam falsam nam ducantur in se, fer: V +Tab H0 itaque aequatio y - ab Ae. non habet duas radices aequales. y Ia b 70 + y (=ytab ab p Tytac