# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0293 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0293?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 269, page id 175906937X:0293 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=293 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000293.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 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. ed d se erit ed. s de 2 remassebiez ∞dus tire, quod idem cA, vy - ay. + egulam Z∞y = = a, exit y ∞ Z + = a aa - b x. IInde apparet, candem esse reductam adcalum heeatiSL, Ideoque per ca, qua ibidem lunc de- monstrata. Locum quaelicum eNe Parabolam. Ad cujus speciticam decerminationem esto in appolica Agura ipliusx inicium immucabile punctum A, eademque x se indetinite ab A versus F. extendere incelligatur; sit autem datus vel aum- prus angulus, quemy ee x comprehendune, aqualis angulo P. AH, + B. II. C A P. TI. Exempla reductionis aequationum ad formulam Theorematis Z. Si xequatio (it ay - y bx ∞ 0, aNumPEO juXta Duo substicuto in locum iplius r, e ejuldem quadrato loco ry. QUEiPS ad BInOS RCCEOS COIHPICICMIO. Deinde, quoniam Z a( Sumpta est ∞y - = a, siy supra rectam A F exursere intellis acur ducenda quoque est supra iplam recta R C ipsi A P parallela; ica UE AK omnesque ipsixequidistantes inter A P _ H G inLCTCCPEX aa Sint ∞ Za. Ouo tacto, sijuxta Regulam tat KC ∞ eademque Tumacur pro Parabolae diametro, ad quam ordinatim applicacae SInE ip(I A R parallela, cujusque latus reCtum F O sIE ∞ b: erit iptus portio descripta GDI, quae inter rerticem C a produ cam AR intercipitur, L OcuS quaesicuS. C. t 3 dbbtta