# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0098 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0098?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 74, page id 175906937X:0098 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=98 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000098.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine # Lines: 29 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. D E N A F u R A ∞3 - F b w X f bbX F ∞0 ad tres reliquas investisandus pos Te ulurpari. 2 Propositio. Prolecunda propositione Hac ex duabus X3 f bX X. L bbx L53 ∞0 _ ∞ -- b ∞ O hXeC ae quariO X + X X L C3∞ = bc3∞ O. EF, (1 POna. b tur b3 major quam c3, habebit illa eandem Formam acque secunda propolitarum x =+ X X = B3 X = p 4 ∞0, e consequenter crunE ejusdem nacurae e constitutionis. Fiat jam comparatio, _ ex collatione quartorum terminorum habebimus c3 - b3∞ = 13 hoc elt, c3∞b3- n3. TInde coonolcimus, inventa veraradiceb. hane aquationem X3 I b x x L b b ∞- L b3 = n3 ∞0, od tres reli- quasradices respicere. Porro, comparatis inter se terminisulci- mis, habebimus pr 2 bc3. Einde sequitur, c3 aequari; e, cogni- ca rera radice b, hanc aequationem x3 L b x N L bb x L 7 ∞0 tresreliquas radices concernere. 3 Propositio. PTOFETCA BLODOLIEIOBEHaE ex duabuS~3- L B ~X L BBN =C3 ∞0 63 Formam atque tertia propolitarum at H X = 13 x L p+ ∞ O, dC Per consequens erunt ejuldem natura ee consticutionis. Fiat jam comparatio, e ex collatione quartorum terminorum habebimus 53- L b3∞n3 hoc est, 63∞n3 - b3. Unde constat, cognita vera radice b, aequationem hanc ∞3 - L b X X - L b b X = n3 f b3 ∞00 ad tres reliquas inrestisandas adhiberi posse. Praeterea ex collatione ulcimorum habebitur pr ∞ b03. Unde lequitur, 03 aquariZ; et, cognitâ verâ radice b, aequationem hanc ~3 L b X x L b bx - ∞0 ad tresreliquas quarendas esse utilemm.