# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0164 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0164?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 142, page id 175905688X:0164 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=164 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000164.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 18 lines, status machine # Lines: 18 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. 142 FL. DE BE AULN E NOFA BREVFS. seu = p, Sicut diximus, ac proinde ejus criplum p. Ouod si rursus mulciplicetur per Z, producetur P Z, aquale criplo producto li- nearum AB, BC, AC: _ per conlequens Z3 -- pZ∞ 9, hoc CAt, Z330 X, FpZ ]- 9. Ouod eratdemonstrandum. Adduxi autem demonstrationem extractionis harum radicum, quod contemplatio earum atque inrentio pulcherrima inihi sine rila. Verum quancum ad praxin, cum Geometrice aequatio. nun hoc loco propolicarum radices lunt extrahendae; ejus Pane mecliodus, qua generalis acque Facilis est, quam optime in hac Geometria demonstrata cernitur. Si vero Arichinetice illas ex- trahere lubuerie, multo id facilius tet juxta mechodum à Vieta in tractatu de Numerola Pocestatum Relolutione tradicam, quam per hasce regulas Cardani. S s I cece FR AN