# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0096 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0096?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 72, page id 175906937X:0096 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=96 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000096.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine # Lines: 39 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. e D E N A F U R A aquacionem hanC X X = l x - b l. + b b + mm ∞ 0 duabus resi- L b quis inveniendis esse ului. Denique ex collatione postremorum terminorum habebimus n3 ∞ b dd. IInde colligicur dd aequari 13 a, cognitaradice ver a b, hanc aequacionem X X = lN -= ∞O duabus reliquis inreniendis inservire. 6 Proposirio. t b Pro lexta propolicione formetur ex duabus x x Lcx - d d 00 ee X - b ∞ O ae quatio ~3 F C X X - d d x F d d b ∞ O. FC, SuPPOLIEd B = bc cmajori quam b, habebit ipla candem formam atque sexta pro- POlICarUI ∞3 F b X X = M EB X FN3∞ O, et per COMleGuenS erUNE ejuldem naturae a consticutionis. P’iat jam comparatio, de ex col- lacione secundorum terminorum habebiimus l ∞ c= b, seu c∞l. f. b. Deinde ex collatione tertiorum terminorum crit mma dd. F bc, hoc est, substituto ralore cinvento, habebitur dd ∞mm = b1 - bb. TInde constat, si vera radix b Cc cognita, hanc ae qua- tionem X N L lX mm ∞0, pro duabus reliquis inreniendis L b + bb L bb ului Eururam. Denique, comparando ultimosterminos, habebi- mus ddb∞n3: de per consequens dd ∞=; adeoque, cogniri vera radiceb, haec aequatio X X L lx - ∞0 ad inreltisandas duas reliquas utilis erit. Lsitio. Pro septima propolitione formetur ex duabus _ - b ∞0 d X X +. 6X = _d ∞ O XquatiO X3. F C N x = d d X F d d b ∞ 0. Sup. -b b6 Polita aurem b majore quam c, habebit ipsa eandem Formam cum septima propolitarum x3 = l X X = m mX f n3 ∞ O, d COn- sequenter erunt ejuldem naturae e consticutionis. P’act a igitur comparatione, orietur ex collatione lecundorum terminorum, 10b.