# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0120 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0120?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 96, page id 175906937X:0120 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=120 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000120.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 recognised, mean confidence 0.84 # 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 H A Y U R a tionem X3 -= b~N = mmr ∞0 ad reliquastres esserete; rendam. - bb Lb S Propossiio. Prooctara propolitione, thut ex duabus, x3- cux- ddX. L 53 ∞0 e X -b ∞ 0, haeC XquatIO ∞= C X 3 - d d X X - ) f3 X - f3 b 30O. -b bc - bd Suppolico autem badmajore quam f3, habebit ipsa eandem For- mam acque Octara propolILIO xF - - l ∞3 . MM XN - n3 X. - p = ∞O, ac per consequens ejuldem erunt natura de constitutionis. Fiat ereo adaequacio, unde comparando secundos terminos habebi- nusl∞c F b, hoc cA, 6∞lb. Deinde, collatis tertiis termi- nis, habebiturmm ∞dd -L bc, hoc eAt, restituendo ralorem cin- ventum, fiet dd ∞ m m - b l- p- bb. Tum ex collatione quarto- rum terminorum habebitur f3 b d d ∞ = n3, hoc est, Cubsticuto valore ddinvento, erit f3∞ bm m -- - bbl - n3- ( b3. TInde Con- stat, coenita rera radiceb, hanc aequationem X3 lXX L HMX- b mm ∞ 0 tribus reliquis inferrice. Fb + bb t b3 bb -bb1. Denique, compararis ulcimis cerminis, habebimus pt ∞ b f. unde lequitur, saquari ; ec, cognicd verdradice b, hanc X qua tiONCM NS = IX X- MM X -L ∞0 aderes reliquas esse rete. rendam. b L bb 9 Proposco. Pronena CL MaBIIS, X3- C ∞ X. d d x- ) f3 ∞0 e X m b ∞ O, haec aequatiO X + C ∞3 mf d X X if3 X- f3b∞9. b bc. -bdd Suppositorero f. majore quam bdd, erit ipla eju ldem Formae cum DropOliciOnENONA X = L1 3 f M MB N X - f B3 N - p+ 2O, dC PeF COr-