# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0579 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0579?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 290r, page id 00068194:0579 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 289v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=579 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000579.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.80 # 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. ope inveniatur p ex reguls spionis perrus set. erit Z H (, 33+ Alubi rectius . 1 13 F 5f Imo ex aquatione p Cp +d non semper habetur Radix, sRequoritur enim in p aqualione +. + et L. +. et . - ut sit d p 27C Sic ergo pruocedams: aquatio data est Z X CZ +d mutalis omnibus locis paribus fiet Z = cZ - d. in qua radix semper habetur. sit yq 4 - c) - d mutetur in P + CP. - d. cumus etiam radix semper habetur, ex regula nostra. Sit jam X. CZ +d, mutatis omanibus 23 - c Z = d, unde P X + c P - d Et B ex Auddenio ad schoten. Append. de cubic Aeq. pag. 368, habetur posita x cp - d. (0. fit radix hoec: comparemus, aaejri aequationem in scheda Inveni modum quo quae culuslibet cubicae aequationis radix extrati queat. Nam 4 +cZ +d 110 fiat alia aequatio p - cp + d H 0. cumus fiet y cubus 228 7eac + 34c6+4 e 3 x esd. = s. F) 8 sa riam e . a 3C77 et esto jam aequatio 3. + 3 ar addatur utrique aequationis parti erit +3 hacerâ erit S() 7 2c haeta sit Ex cognita PX + cap + d + o et XX = ca X + d p 0. Ex data p 1 =cap Methodi geeulis quaundet an acd n quaeritur X. patet esse X X F CaX p P f ca p. Erg. X X + ca X B -c3 - ac + da