# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0111 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0111?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 87, page id 175906937X:0111 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=111 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000111.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.81 # 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. eolremos 1I. WX dimem. nenes (or. nis, formem ic ipla can L Oiisi minorum hu nterendo rectiruen discim b1 COM A, O U A X L O N U M. 8 ulcimos terminos, habebimus pr ∞o b d3. unde sequitur, d3 ae qua- ri ; e cognica verd radice b, haec aequatio v3-- lux- bl X. + ∞0 ad reliquas eres erit reterenda. 2 Proposirio. ut b. + bb PHOTCCMA PIOPOHCIOHC, tiac ex duabus, ∞3. L exX- L bCx L d 3∞ 3 _ X =- b ∞ 0, haC ae quatiOx+ = 6∞3 F - , 43 X - d3 b ∞ O. SipPO. b = bb0 Citis autem cmajore quam b, e bbc majore quam d, habebit ip (a eandem Formam atque secunda propolitio x=. L Ix3F - n3X- p+ ∞0, ac per contequens ejuldem erunt naturae ex consticucionis. Fiae erso adaequatio, e per comparationem lecundorum termino rum habebimus, 10C- b, hoc est, 000 l- L b. Deinde, collatis quartis terminis, habebimus d - bb0 ∞ = n3, hoc est, substi- tuendo ralorem sinventum, erie d∞ bb l - f- b3 - n3. IInde P2- cet, cognita reraradice b, hane xequationem x3. L. lvx. L blv. + bbl∞0 + b + bb + b3 1 cribus reliquis inserrire. Postremo, per comparationem ultimo rum terminorum, trabebimus pr ∞ b d3, ac per consequens d3 ∞Z ec, cognicarera radiceb, haec aequatio x3 f-lX X. ] bIX f ∞0 ad eres reliquas inreltisandas erir utilis. 3 Propositio. b + bb oceca Proponcone tat ex duabus, ∞3. L cX X f bc N - F d3 ∞0 et t= D Oa a GuatO x+ - F C∞3 X - = 13 ∞ = d3 b ∞ O. SupPo =-bb0 Sitis aurem bmajore quomc, e bbcmajore quam d3, habebit ipla eandem formam atque tertia propolitio x=-L lX 3 X -- 13 X-- p+ 20, ac per consequens ejusdem erune naturae de consticurionis. Figt itaque earum adaequatio, de per comparationem secundorum ter minorum habebiinus lD5 b, hoc est, c∞ l-L b. Deinde, Con- terendo quarrosterminos, habebimus ds -- b b0 ∞ - n3, hoc eA, reltim