# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0556 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0556?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 280v, page id 00068196:0556 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=556 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000556.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine # Lines: 55 recognised, mean confidence 0.82 # 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. jannar. Aequatio anarum incognitarum 1679 habent radices aequales; e bu mes podus langeritium inversarmres analitica eo l e Scheda Maximi moment eel qua praesatu canalynet t bx+cy+d bx + cy 4d absoluta artesius desperaverat X + CY + 2bc XY 4 2bd X +2cd1 + ec qu. Hhoc productum ducatur in quantrarm indefim tam tam formulam Prodibit aequatio du habens radices aequales sumatur alia aequalio ex+ fy+) etiam ducenda in se ipsum ut frat X+ frst ufxy + reqX + afgy q. et quae etiam potest multipicari per formulam indefinitam vaeritur jam si in unum addantur duae aequationes in quibus incognita habet tduas radices equales, prodiat aequatio a in qua aequales. etiam labeab, uas radices a X + 28X + C aequ. 0. X +2 mX + n aequ. O ie: fieri potest addendo: +X +2lX + (A sa V. X + et fiet Xaequ. 12 X = 2mX - m saequ. n +l. 2q 2l - 2M non et ita X habet unam solum radicem adeoque non sequitu Quaeriuvan ea possit haberi pro duabus aequalibus. addamum aliter: A 4 +2l + ( aequ. 0. + seu X + lX + +C +mX + 2mX + n quae aequilio est impossibilis etuxago quae dua a