# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0094 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0094?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 70, page id 175906937X:0094 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=94 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000094.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.89 # 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 N A F U R A 2 Propositio. Pro secunda propolicarum tiac ex mulciplicatione aN L C x Ad ∞ O PeF X = b ∞ 0 aequatio hXC X3 = b X X = bcX - bd d ∞9. C + d a ex suppolitamajore quam b, d bc majore quam d d, habebicean- dem formam, quam propolirio secunda ~ 3 L LX X = M MX - n3∞0, e consequenter erunt ejusdem naturx ex consticurionis. F’acta ergo adaequatione, ex comparatione secundorum termi- norum habebimus c = b ∞ l, hoc Cst, 6∞ l- f b. Deinde excol- lacione certiorum terminorum habebimus dd - b c ∞ = MM, hoc elt, resticuto ralore iplius c invento, habebitur dd ∞ bI L bb mm. Unde constat, cogmica rer a radice b, hanc aquationem Xx + lN- F bb- F bl- mm ∞ 0 duabus reliquis radicibus inrecti- Lb randis esse utilem. Denique, ex comparatione postremorum terminorum, habebimus b d d ∞ n3. Unde sequitur d d Foreaequa lem 7; e, cognica veri radice b, aequationem hanc Xx L bx F D0 reliquis duabus in serrituram. 3 Proposirio. Protercia propolicione, tac ex mulciplicatione xx. L cx.- 1 dd000 per x - b ∞0 eadem aquatio x 3 = b X X - bC X - b d d ∞0. + 6 + d cb Ec suppolica bmajore quam c, de b0 majore quam dd, eric ejul dem formae cum tertia propolitarum x3- l X X = m M N n3 ∞O. et consequenter ejusdem erunt natura de consticutionis. Pacta ergo adaequatione, ex collatione secundorum terminorum habe. biimus 6- b ∞ =- l, hoc cA, 6∞ b = l. Deinde ex collatione certiorum terminorum habebimus d d - bc ∞ mm, hoc est, lub- Ctituto valore invento iplius c, crit d d ∞ b b - b l - mm. TInde constat, quod, cognita reri radiceb, haec xquatio xx f bx. f bb v0 -1 -- bl MM ad duas inreltisandas reliquas adhiberi possic. Denique, ex col. latione